%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SCT171+5 : TPTP v9.3.1. Released v5.3.0.
% 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 : n003.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 10:38:38 AM UTC 2026
% Result : Theorem 229.83s 38.54s
% Output : CNFRefutation 38.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 169
% Syntax : Number of formulae : 2429 ( 901 unt; 0 typ; 0 def)
% Number of atoms : 26055 (10583 equ; 0 cnn)
% Maximal formula atoms : 12 ( 10 avg)
% Number of connectives : 422211 (8717 ~;9303 |; 42 &;403540 @)
% ( 105 <=>; 504 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 86 ( 83 usr; 27 con; 0-6 aty)
% Number of variables : 8439 ( 0 ^;8436 !; 3 ?;8439 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $i ).
thf(tp_arrow_1212486748le_alt,type,
arrow_1212486748le_alt: $i ).
thf(tp_arrow_1384031255e_indi,type,
arrow_1384031255e_indi: $i ).
thf(tp_arrow_1726925404_above,type,
arrow_1726925404_above: $i ).
thf(tp_arrow_1834574746e_Prof,type,
arrow_1834574746e_Prof: $i ).
thf(tp_arrow_1932713123nimity,type,
arrow_1932713123nimity: $i ).
thf(tp_arrow_1990387629ctator,type,
arrow_1990387629ctator: $i ).
thf(tp_arrow_612047104le_IIA,type,
arrow_612047104le_IIA: $i ).
thf(tp_arrow_638930832le_Lin,type,
arrow_638930832le_Lin: $i ).
thf(tp_arrow_844286440_mkbot,type,
arrow_844286440_mkbot: $i ).
thf(tp_arrow_992993526_mktop,type,
arrow_992993526_mktop: $i ).
thf(tp_b,type,
b: $i ).
thf(tp_bool,type,
bool: $i ).
thf(tp_c,type,
c: $i ).
thf(tp_collect,type,
collect: $i > $i ).
thf(tp_combb,type,
combb: $i > $i > $i > $i ).
thf(tp_combc,type,
combc: $i > $i > $i > $i ).
thf(tp_combi,type,
combi: $i > $i ).
thf(tp_combk,type,
combk: $i > $i > $i ).
thf(tp_combs,type,
combs: $i > $i > $i > $i ).
thf(tp_d,type,
d: $i ).
thf(tp_e,type,
e: $i ).
thf(tp_f,type,
f: $i ).
thf(tp_fFalse,type,
fFalse: $i ).
thf(tp_fTrue,type,
fTrue: $i ).
thf(tp_fequal,type,
fequal: $i > $i ).
thf(tp_finite_card,type,
finite_card: $i > $i ).
thf(tp_fun,type,
fun: $i > $i > $i ).
thf(tp_h,type,
h: $i ).
thf(tp_hAPP,type,
hAPP: $i > $i > $i > $i > $i ).
thf(tp_hBOOL,type,
hBOOL: $i > $o ).
thf(tp_hilbert_inv_into,type,
hilbert_inv_into: $i > $i > $i ).
thf(tp_if,type,
if: $i > $i ).
thf(tp_inj_on,type,
inj_on: $i > $i > $i ).
thf(tp_lab,type,
lab: $i ).
thf(tp_lba,type,
lba: $i ).
thf(tp_linorder,type,
linorder: $i > $o ).
thf(tp_member,type,
member: $i > $i ).
thf(tp_n,type,
n: $i ).
thf(tp_nat,type,
nat: $i ).
thf(tp_ord,type,
ord: $i > $o ).
thf(tp_ord_less,type,
ord_less: $i > $i ).
thf(tp_order,type,
order: $i > $o ).
thf(tp_p,type,
p: $i ).
thf(tp_pi,type,
pi: $i > $i > $i ).
thf(tp_preorder,type,
preorder: $i > $o ).
thf(tp_product_Pair,type,
product_Pair: $i > $i > $i ).
thf(tp_product_prod,type,
product_prod: $i > $i > $i ).
thf(tp_product_prod_rec,type,
product_prod_rec: $i > $i > $i > $i ).
thf(tp_sK10_SY1057,type,
sK10_SY1057: $i > $i > $i ).
thf(tp_sK11_SY986,type,
sK11_SY986: $i > $i > $i > $i > $i ).
thf(tp_sK12_SY1063,type,
sK12_SY1063: $i > $i ).
thf(tp_sK13_SY914,type,
sK13_SY914: $i > $i > $i > $i ).
thf(tp_sK14_SY917,type,
sK14_SY917: $i > $i > $i > $i ).
thf(tp_sK15_SY1067,type,
sK15_SY1067: $i > $i ).
thf(tp_sK16_SY1069,type,
sK16_SY1069: $i > $i > $i ).
thf(tp_sK17_SY954,type,
sK17_SY954: $i > $i > $i > $i > $i ).
thf(tp_sK18_SY1073,type,
sK18_SY1073: $i > $i > $i > $i ).
thf(tp_sK19_SY999,type,
sK19_SY999: $i > $i > $i > $i > $i ).
thf(tp_sK1_SY902,type,
sK1_SY902: $i > $i > $i > $i ).
thf(tp_sK20_SY1077,type,
sK20_SY1077: $i > $i > $i > $i > $i ).
thf(tp_sK21_SY1070,type,
sK21_SY1070: $i > $i ).
thf(tp_sK22_SY1086,type,
sK22_SY1086: $i > $i ).
thf(tp_sK23_SY1084,type,
sK23_SY1084: $i > $i > $i > $i > $i ).
thf(tp_sK24_SY1085,type,
sK24_SY1085: $i > $i > $i > $i > $i ).
thf(tp_sK25_SY968,type,
sK25_SY968: $i > $i > $i > $i > $i ).
thf(tp_sK26_SY1091,type,
sK26_SY1091: $i > $i > $i > $i > $i > $i ).
thf(tp_sK27_SY1047,type,
sK27_SY1047: $i > $i > $i > $i > $i > $i > $i ).
thf(tp_sK28_SY1044,type,
sK28_SY1044: $i > $i > $i > $i > $i > $i ).
thf(tp_sK29_SY1049,type,
sK29_SY1049: $i > $i > $i > $i > $i > $i > $i ).
thf(tp_sK2_SY725,type,
sK2_SY725: $i > $i > $i ).
thf(tp_sK30_SY1050,type,
sK30_SY1050: $i > $i > $i > $i > $i > $i > $i ).
thf(tp_sK3_SY466,type,
sK3_SY466: $i > $i ).
thf(tp_sK4_SY740,type,
sK4_SY740: $i > $i > $i ).
thf(tp_sK5_SY1048,type,
sK5_SY1048: $i > $i > $i > $i ).
thf(tp_sK6_SY617,type,
sK6_SY617: $i > $i ).
thf(tp_sK7_SY1018,type,
sK7_SY1018: $i > $i > $i > $i > $i ).
thf(tp_sK8_SY783,type,
sK8_SY783: $i > $i > $i ).
thf(tp_sK9_SY1054,type,
sK9_SY1054: $i > $i ).
thf(tp_ti,type,
ti: $i > $i > $i ).
thf(tp_top,type,
top: $i > $o ).
thf(tp_top_top,type,
top_top: $i > $i ).
thf(tp_undefined,type,
undefined: $i > $i ).
thf(1,axiom,
! [X_a: $i,X: $i,Y: $i] :
( ( ( ti @ X_a @ X )
!= ( ti @ X_a @ Y ) )
| ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( fequal @ X_a ) @ X ) @ Y ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fequal_2_1_T) ).
thf(2,axiom,
! [X_a: $i,X: $i,Y: $i] :
( ~ ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( fequal @ X_a ) @ X ) @ Y ) )
| ( ( ti @ X_a @ X )
= ( ti @ X_a @ Y ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fequal_1_1_T) ).
thf(3,axiom,
! [P: $i] :
( ( ( ti @ bool @ P )
= fTrue )
| ( ( ti @ bool @ P )
= fFalse ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fTrue_1_1_T) ).
thf(4,axiom,
hBOOL @ fTrue,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fTrue_1_1_U) ).
thf(5,axiom,
! [X_a: $i,X_c: $i,X_b: $i,P: $i,Q: $i,R: $i] :
( ( hAPP @ X_a @ X_c @ ( hAPP @ ( fun @ X_a @ X_b ) @ ( fun @ X_a @ X_c ) @ ( hAPP @ ( fun @ X_a @ ( fun @ X_b @ X_c ) ) @ ( fun @ ( fun @ X_a @ X_b ) @ ( fun @ X_a @ X_c ) ) @ ( combs @ X_a @ X_b @ X_c ) @ P ) @ Q ) @ R )
= ( hAPP @ X_b @ X_c @ ( hAPP @ X_a @ ( fun @ X_b @ X_c ) @ P @ R ) @ ( hAPP @ X_a @ X_b @ Q @ R ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBS_1_1_U) ).
thf(6,axiom,
! [X_b: $i,X_a: $i,P: $i,Q: $i] :
( ( hAPP @ X_b @ X_a @ ( hAPP @ X_a @ ( fun @ X_b @ X_a ) @ ( combk @ X_a @ X_b ) @ P ) @ Q )
= ( ti @ X_a @ P ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBK_1_1_U) ).
thf(7,axiom,
! [X_a: $i,P: $i] :
( ( hAPP @ X_a @ X_a @ ( combi @ X_a ) @ P )
= ( ti @ X_a @ P ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBI_1_1_U) ).
thf(8,axiom,
! [X_a: $i,X_c: $i,X_b: $i,P: $i,Q: $i,R: $i] :
( ( hAPP @ X_a @ X_c @ ( hAPP @ X_b @ ( fun @ X_a @ X_c ) @ ( hAPP @ ( fun @ X_a @ ( fun @ X_b @ X_c ) ) @ ( fun @ X_b @ ( fun @ X_a @ X_c ) ) @ ( combc @ X_a @ X_b @ X_c ) @ P ) @ Q ) @ R )
= ( hAPP @ X_b @ X_c @ ( hAPP @ X_a @ ( fun @ X_b @ X_c ) @ P @ R ) @ Q ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBC_1_1_U) ).
thf(9,axiom,
! [X_a: $i,X_c: $i,X_b: $i,P: $i,Q: $i,R: $i] :
( ( hAPP @ X_a @ X_c @ ( hAPP @ ( fun @ X_a @ X_b ) @ ( fun @ X_a @ X_c ) @ ( hAPP @ ( fun @ X_b @ X_c ) @ ( fun @ ( fun @ X_a @ X_b ) @ ( fun @ X_a @ X_c ) ) @ ( combb @ X_b @ X_c @ X_a ) @ P ) @ Q ) @ R )
= ( hAPP @ X_b @ X_c @ P @ ( hAPP @ X_a @ X_b @ Q @ R ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBB_1_1_U) ).
thf(10,axiom,
! [P: $i] :
( ( ( ti @ bool @ P )
= fTrue )
| ( ( ti @ bool @ P )
= fFalse ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_If_3_1_T) ).
thf(11,axiom,
! [X_a: $i,X: $i,Y: $i] :
( ( hAPP @ X_a @ X_a @ ( hAPP @ X_a @ ( fun @ X_a @ X_a ) @ ( hAPP @ bool @ ( fun @ X_a @ ( fun @ X_a @ X_a ) ) @ ( if @ X_a ) @ fFalse ) @ X ) @ Y )
= ( ti @ X_a @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_If_2_1_T) ).
thf(12,axiom,
! [X_a: $i,X: $i,Y: $i] :
( ( hAPP @ X_a @ X_a @ ( hAPP @ X_a @ ( fun @ X_a @ X_a ) @ ( hAPP @ bool @ ( fun @ X_a @ ( fun @ X_a @ X_a ) ) @ ( if @ X_a ) @ fTrue ) @ X ) @ Y )
= ( ti @ X_a @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_If_1_1_T) ).
thf(13,axiom,
! [T: $i,A: $i] :
( ( ti @ T @ ( ti @ T @ A ) )
= ( ti @ T @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_ti_idem) ).
thf(14,axiom,
ord @ bool,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_HOL_Obool___Orderings_Oord) ).
thf(15,axiom,
top @ bool,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_HOL_Obool___Orderings_Otop) ).
thf(16,axiom,
order @ bool,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_HOL_Obool___Orderings_Oorder) ).
thf(17,axiom,
preorder @ bool,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_HOL_Obool___Orderings_Opreorder) ).
thf(18,axiom,
ord @ nat,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Nat_Onat___Orderings_Oord) ).
thf(19,axiom,
order @ nat,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Nat_Onat___Orderings_Oorder) ).
thf(20,axiom,
linorder @ nat,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Nat_Onat___Orderings_Olinorder) ).
thf(21,axiom,
preorder @ nat,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Nat_Onat___Orderings_Opreorder) ).
thf(22,axiom,
! [T_2: $i,T_1: $i] :
( ( ord @ T_1 )
=> ( ord @ ( fun @ T_2 @ T_1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_fun___Orderings_Oord) ).
thf(23,axiom,
! [T_2: $i,T_1: $i] :
( ( top @ T_1 )
=> ( top @ ( fun @ T_2 @ T_1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_fun___Orderings_Otop) ).
thf(24,axiom,
! [T_2: $i,T_1: $i] :
( ( order @ T_1 )
=> ( order @ ( fun @ T_2 @ T_1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_fun___Orderings_Oorder) ).
thf(25,axiom,
! [T_2: $i,T_1: $i] :
( ( preorder @ T_1 )
=> ( preorder @ ( fun @ T_2 @ T_1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_fun___Orderings_Opreorder) ).
thf(26,axiom,
~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_99__096_Ib_M_Aa_J_A_126_058_ALab_096) ).
thf(27,axiom,
~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ a ) @ b ) ) @ lba ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_98__096_Ia_M_Ab_J_A_126_058_ALba_096) ).
thf(28,axiom,
hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ a ) @ b ) ) @ lab ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_97__096a_A_060_092_060_094bsub_062Lab_092_060_094esub_062_Ab_096) ).
thf(29,axiom,
hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_96__096b_A_060_092_060_094bsub_062Lba_092_060_094esub_062_Aa_096) ).
thf(30,axiom,
a != b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_95__096a_A_126_061_Ab_096) ).
thf(31,axiom,
! [I: $i] :
( ( ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ I ) ) @ n ) )
=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ I ) ) @ e ) ) ) )
& ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ I ) ) @ n ) )
=> ( ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ I )
= n )
=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ I ) ) @ c ) @ e ) ) ) )
& ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ I )
!= n )
=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ I ) ) @ e ) ) ) ) ) ) )
<=> ( ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ I ) ) @ n ) )
=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
& ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ I ) ) @ n ) )
=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_94__096ALL_Ai_O_A_Ie_A_060_092_060_094bsub_062_Iif_Ah_Ai_A_060_An_Athen_Amk) ).
thf(32,axiom,
( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( ord_less @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_992993526_mktop ) @ p ) ) @ e ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( fequal @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ arrow_1726925404_above ) @ p ) ) @ c ) ) @ e ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_844286440_mkbot ) @ p ) ) @ e ) ) ) ) ) )
<=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combc @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( ord_less @ nat ) ) @ h ) ) @ n ) ) ) @ lab ) ) @ lba ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_93__096_Ie_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amk) ).
thf(33,axiom,
! [X_a: $i,X_b: $i,A_1: $i] :
( ( hAPP @ ( fun @ X_a @ ( fun @ X_b @ bool ) ) @ ( fun @ ( fun @ X_a @ X_b ) @ bool ) @ ( hAPP @ ( fun @ X_a @ bool ) @ ( fun @ ( fun @ X_a @ ( fun @ X_b @ bool ) ) @ ( fun @ ( fun @ X_a @ X_b ) @ bool ) ) @ ( pi @ X_a @ X_b ) @ A_1 ) @ ( hAPP @ ( fun @ X_b @ bool ) @ ( fun @ X_a @ ( fun @ X_b @ bool ) ) @ ( combk @ ( fun @ X_b @ bool ) @ X_a ) @ ( top_top @ ( fun @ X_b @ bool ) ) ) )
= ( top_top @ ( fun @ ( fun @ X_a @ X_b ) @ bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_92_Pi__UNIV) ).
thf(34,axiom,
! [Fa: $i,I_1: $i] :
( ( hBOOL @ ( hAPP @ arrow_1384031255e_indi @ bool @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ bool ) @ arrow_1990387629ctator @ Fa ) @ I_1 ) )
<=> ! [X_1: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ X_1 ) @ arrow_1834574746e_Prof ) )
=> ( ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ Fa @ X_1 )
= ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ X_1 @ I_1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_91_dictator__def) ).
thf(35,axiom,
! [X_a: $i,A_1: $i] : ( hBOOL @ ( hAPP @ ( fun @ ( fun @ X_a @ X_a ) @ bool ) @ bool @ ( hAPP @ ( fun @ X_a @ X_a ) @ ( fun @ ( fun @ ( fun @ X_a @ X_a ) @ bool ) @ bool ) @ ( member @ ( fun @ X_a @ X_a ) ) @ ( combi @ X_a ) ) @ ( hAPP @ ( fun @ X_a @ ( fun @ X_a @ bool ) ) @ ( fun @ ( fun @ X_a @ X_a ) @ bool ) @ ( hAPP @ ( fun @ X_a @ bool ) @ ( fun @ ( fun @ X_a @ ( fun @ X_a @ bool ) ) @ ( fun @ ( fun @ X_a @ X_a ) @ bool ) ) @ ( pi @ X_a @ X_a ) @ A_1 ) @ ( hAPP @ ( fun @ X_a @ bool ) @ ( fun @ X_a @ ( fun @ X_a @ bool ) ) @ ( combk @ ( fun @ X_a @ bool ) @ X_a ) @ A_1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_90_funcset__id) ).
thf(36,axiom,
! [X_a: $i,X_b: $i,X_2: $i,F: $i,A_1: $i,B: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ X_a @ X_b ) @ bool ) @ bool @ ( hAPP @ ( fun @ X_a @ X_b ) @ ( fun @ ( fun @ ( fun @ X_a @ X_b ) @ bool ) @ bool ) @ ( member @ ( fun @ X_a @ X_b ) ) @ F ) @ ( hAPP @ ( fun @ X_a @ ( fun @ X_b @ bool ) ) @ ( fun @ ( fun @ X_a @ X_b ) @ bool ) @ ( hAPP @ ( fun @ X_a @ bool ) @ ( fun @ ( fun @ X_a @ ( fun @ X_b @ bool ) ) @ ( fun @ ( fun @ X_a @ X_b ) @ bool ) ) @ ( pi @ X_a @ X_b ) @ A_1 ) @ ( hAPP @ ( fun @ X_b @ bool ) @ ( fun @ X_a @ ( fun @ X_b @ bool ) ) @ ( combk @ ( fun @ X_b @ bool ) @ X_a ) @ B ) ) ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ X_a @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( member @ X_a ) @ X_2 ) @ A_1 ) )
=> ( hBOOL @ ( hAPP @ ( fun @ X_b @ bool ) @ bool @ ( hAPP @ X_b @ ( fun @ ( fun @ X_b @ bool ) @ bool ) @ ( member @ X_b ) @ ( hAPP @ X_a @ X_b @ F @ X_2 ) ) @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_89_funcset__mem) ).
thf(37,axiom,
( arrow_1834574746e_Prof
= ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) ) @ ( pi @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( top_top @ ( fun @ arrow_1384031255e_indi @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( combk @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ arrow_1384031255e_indi ) @ arrow_638930832le_Lin ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_88_Prof__def) ).
thf(38,axiom,
! [X_a: $i,X_b: $i,X_2: $i,F: $i,A_1: $i,B: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ X_a @ X_b ) @ bool ) @ bool @ ( hAPP @ ( fun @ X_a @ X_b ) @ ( fun @ ( fun @ ( fun @ X_a @ X_b ) @ bool ) @ bool ) @ ( member @ ( fun @ X_a @ X_b ) ) @ F ) @ ( hAPP @ ( fun @ X_a @ ( fun @ X_b @ bool ) ) @ ( fun @ ( fun @ X_a @ X_b ) @ bool ) @ ( hAPP @ ( fun @ X_a @ bool ) @ ( fun @ ( fun @ X_a @ ( fun @ X_b @ bool ) ) @ ( fun @ ( fun @ X_a @ X_b ) @ bool ) ) @ ( pi @ X_a @ X_b ) @ A_1 ) @ B ) ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ X_a @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( member @ X_a ) @ X_2 ) @ A_1 ) )
=> ( hBOOL @ ( hAPP @ ( fun @ X_b @ bool ) @ bool @ ( hAPP @ X_b @ ( fun @ ( fun @ X_b @ bool ) @ bool ) @ ( member @ X_b ) @ ( hAPP @ X_a @ X_b @ F @ X_2 ) ) @ ( hAPP @ X_a @ ( fun @ X_b @ bool ) @ B @ X_2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_87_Pi__mem) ).
thf(39,axiom,
! [Na: $i] : ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combc @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( ord_less @ nat ) ) @ h ) ) @ Na ) ) ) @ lab ) ) @ lba ) ) @ arrow_1834574746e_Prof ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_86_PiProf) ).
thf(40,axiom,
! [Aa: $i,Ba: $i] :
( ( ( ti @ arrow_1212486748le_alt @ Aa )
!= ( ti @ arrow_1212486748le_alt @ Ba ) )
=> ? [X_1: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ X_1 ) @ arrow_638930832le_Lin ) )
& ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ Aa ) @ Ba ) ) @ X_1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_85_complete__Lin) ).
thf(41,axiom,
! [X_a: $i,X_b: $i,X_2: $i,F: $i,A_1: $i,B: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ X_a @ X_b ) @ bool ) @ bool @ ( hAPP @ ( fun @ X_a @ X_b ) @ ( fun @ ( fun @ ( fun @ X_a @ X_b ) @ bool ) @ bool ) @ ( member @ ( fun @ X_a @ X_b ) ) @ F ) @ ( hAPP @ ( fun @ X_a @ ( fun @ X_b @ bool ) ) @ ( fun @ ( fun @ X_a @ X_b ) @ bool ) @ ( hAPP @ ( fun @ X_a @ bool ) @ ( fun @ ( fun @ X_a @ ( fun @ X_b @ bool ) ) @ ( fun @ ( fun @ X_a @ X_b ) @ bool ) ) @ ( pi @ X_a @ X_b ) @ A_1 ) @ B ) ) )
=> ( ~ ( hBOOL @ ( hAPP @ ( fun @ X_b @ bool ) @ bool @ ( hAPP @ X_b @ ( fun @ ( fun @ X_b @ bool ) @ bool ) @ ( member @ X_b ) @ ( hAPP @ X_a @ X_b @ F @ X_2 ) ) @ ( hAPP @ X_a @ ( fun @ X_b @ bool ) @ B @ X_2 ) ) )
=> ~ ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ X_a @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( member @ X_a ) @ X_2 ) @ A_1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_84_PiE) ).
thf(42,axiom,
! [I_1: $i,Fa: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ Fa ) @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) ) @ ( pi @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1834574746e_Prof ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( combk @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_638930832le_Lin ) ) ) )
=> ( ! [X_1: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ X_1 ) @ arrow_1834574746e_Prof ) )
=> ! [A_2: $i,B_1: $i] :
( ( ( ti @ arrow_1212486748le_alt @ A_2 )
!= ( ti @ arrow_1212486748le_alt @ B_1 ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ A_2 ) @ B_1 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ X_1 @ I_1 ) ) )
=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ A_2 ) @ B_1 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ Fa @ X_1 ) ) ) ) ) )
=> ( hBOOL @ ( hAPP @ arrow_1384031255e_indi @ bool @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ bool ) @ arrow_1990387629ctator @ Fa ) @ I_1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_83_dictatorI) ).
thf(43,axiom,
! [X_2: $i,Y_1: $i,L: $i,Aa: $i,Ba: $i] :
( ( ( ti @ arrow_1212486748le_alt @ Aa )
!= ( ti @ arrow_1212486748le_alt @ Ba ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ L ) @ arrow_638930832le_Lin ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ X_2 ) @ Y_1 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ L ) @ Aa ) @ Ba ) ) )
<=> ( ( ( ti @ arrow_1212486748le_alt @ X_2 )
!= ( ti @ arrow_1212486748le_alt @ Y_1 ) )
& ( ( ( ti @ arrow_1212486748le_alt @ X_2 )
= ( ti @ arrow_1212486748le_alt @ Ba ) )
=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ Aa ) @ Y_1 ) ) @ L ) ) )
& ( ( ( ti @ arrow_1212486748le_alt @ X_2 )
!= ( ti @ arrow_1212486748le_alt @ Ba ) )
=> ( ( ( ( ti @ arrow_1212486748le_alt @ Y_1 )
= ( ti @ arrow_1212486748le_alt @ Ba ) )
=> ( ( ( ti @ arrow_1212486748le_alt @ X_2 )
= ( ti @ arrow_1212486748le_alt @ Aa ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ X_2 ) @ Aa ) ) @ L ) ) ) )
& ( ( ( ti @ arrow_1212486748le_alt @ Y_1 )
!= ( ti @ arrow_1212486748le_alt @ Ba ) )
=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ X_2 ) @ Y_1 ) ) @ L ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_82_in__above) ).
thf(44,axiom,
! [L: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ L ) @ arrow_638930832le_Lin ) )
=> ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( combk @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ arrow_1384031255e_indi ) @ L ) ) @ arrow_1834574746e_Prof ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_81_const__Lin__Prof) ).
thf(45,axiom,
! [L: $i,X_2: $i,Y_1: $i] :
( ( ( ti @ arrow_1212486748le_alt @ X_2 )
!= ( ti @ arrow_1212486748le_alt @ Y_1 ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ L ) @ arrow_638930832le_Lin ) )
=> ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ L ) @ X_2 ) @ Y_1 ) ) @ arrow_638930832le_Lin ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_80_above__Lin) ).
thf(46,axiom,
! [X_2: $i,L: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ L ) @ arrow_638930832le_Lin ) )
=> ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ L ) @ X_2 ) ) @ arrow_638930832le_Lin ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_79_mkbot__Lin) ).
thf(47,axiom,
! [X_2: $i,L: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ L ) @ arrow_638930832le_Lin ) )
=> ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ L ) @ X_2 ) ) @ arrow_638930832le_Lin ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_78_mktop__Lin) ).
thf(48,axiom,
! [X_a: $i,Pa: $i] :
( ( hAPP @ ( fun @ X_a @ bool ) @ ( fun @ X_a @ bool ) @ ( collect @ X_a ) @ Pa )
= ( ti @ ( fun @ X_a @ bool ) @ Pa ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_77_Collect__def) ).
thf(49,axiom,
! [X_a: $i,X_2: $i,A_1: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ X_a @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( member @ X_a ) @ X_2 ) @ A_1 ) )
<=> ( hBOOL @ ( hAPP @ X_a @ bool @ A_1 @ X_2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_76_mem__def) ).
thf(50,axiom,
! [X_a: $i,X_b: $i,F: $i,G: $i] :
( ! [X_1: $i] :
( ( hAPP @ X_a @ X_b @ F @ X_1 )
= ( hAPP @ X_a @ X_b @ G @ X_1 ) )
=> ( ( ti @ ( fun @ X_a @ X_b ) @ F )
= ( ti @ ( fun @ X_a @ X_b ) @ G ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_75_ext) ).
thf(51,axiom,
! [X_2: $i,Y_1: $i,L: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ L ) @ arrow_638930832le_Lin ) )
=> ( ( ( ti @ arrow_1212486748le_alt @ X_2 )
!= ( ti @ arrow_1212486748le_alt @ Y_1 ) )
=> ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ X_2 ) @ Y_1 ) ) @ L ) )
<=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ Y_1 ) @ X_2 ) ) @ L ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_74_notin__Lin__iff) ).
thf(52,axiom,
! [Aa: $i,Ba: $i,L: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ L ) @ arrow_638930832le_Lin ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ Aa ) @ Ba ) ) @ L ) )
=> ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ Ba ) @ Aa ) ) @ L ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_73_Lin__irrefl) ).
thf(53,axiom,
hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ lab ) @ arrow_638930832le_Lin ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_72__096Lab_A_058_ALin_096) ).
thf(54,axiom,
hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ lba ) @ arrow_638930832le_Lin ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_71__096Lba_A_058_ALin_096) ).
thf(55,axiom,
hBOOL @ ( hAPP @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ f ) @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) ) @ ( pi @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1834574746e_Prof ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( combk @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_638930832le_Lin ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_70_assms_I1_J) ).
thf(56,axiom,
! [X_a: $i,X_b: $i,F: $i] :
( ! [X_1: $i,Y_2: $i] :
( ( ( hAPP @ X_a @ X_b @ F @ X_1 )
= ( hAPP @ X_a @ X_b @ F @ Y_2 ) )
=> ( ( ti @ X_a @ X_1 )
= ( ti @ X_a @ Y_2 ) ) )
=> ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ ( fun @ X_a @ X_b ) @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( inj_on @ X_a @ X_b ) @ F ) @ ( top_top @ ( fun @ X_a @ bool ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_69_injI) ).
thf(57,axiom,
! [X_a: $i,X_b: $i,G: $i,F: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ ( fun @ X_a @ X_b ) @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( inj_on @ X_a @ X_b ) @ F ) @ ( top_top @ ( fun @ X_a @ bool ) ) ) )
=> ( ! [X_1: $i] :
( ( hAPP @ X_a @ X_b @ F @ ( hAPP @ X_b @ X_a @ G @ X_1 ) )
= ( ti @ X_b @ X_1 ) )
=> ( ( hAPP @ ( fun @ X_a @ X_b ) @ ( fun @ X_b @ X_a ) @ ( hAPP @ ( fun @ X_a @ bool ) @ ( fun @ ( fun @ X_a @ X_b ) @ ( fun @ X_b @ X_a ) ) @ ( hilbert_inv_into @ X_a @ X_b ) @ ( top_top @ ( fun @ X_a @ bool ) ) ) @ F )
= ( ti @ ( fun @ X_b @ X_a ) @ G ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_68_inj__imp__inv__eq) ).
thf(58,axiom,
! [X_a: $i,X_b: $i,X_2: $i,Y_1: $i,F: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ ( fun @ X_a @ X_b ) @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( inj_on @ X_a @ X_b ) @ F ) @ ( top_top @ ( fun @ X_a @ bool ) ) ) )
=> ( ( ( hAPP @ X_a @ X_b @ F @ X_2 )
= ( hAPP @ X_a @ X_b @ F @ Y_1 ) )
=> ( ( ti @ X_a @ X_2 )
= ( ti @ X_a @ Y_1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_67_injD) ).
thf(59,axiom,
! [X_a: $i,A_1: $i] : ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ ( fun @ X_a @ X_a ) @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( inj_on @ X_a @ X_a ) @ ( combi @ X_a ) ) @ A_1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_66_inj__on__id2) ).
thf(60,axiom,
! [X_a: $i,X_b: $i,X_2: $i,Y_1: $i,F: $i,A_1: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ ( fun @ X_a @ X_b ) @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( inj_on @ X_a @ X_b ) @ F ) @ A_1 ) )
=> ( ( ( hAPP @ X_a @ X_b @ F @ X_2 )
= ( hAPP @ X_a @ X_b @ F @ Y_1 ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ X_a @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( member @ X_a ) @ X_2 ) @ A_1 ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ X_a @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( member @ X_a ) @ Y_1 ) @ A_1 ) )
=> ( ( ti @ X_a @ X_2 )
= ( ti @ X_a @ Y_1 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_65_inj__onD) ).
thf(61,axiom,
! [X_a: $i,X_b: $i,Y_1: $i,X_2: $i,F: $i,A_1: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ ( fun @ X_a @ X_b ) @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( inj_on @ X_a @ X_b ) @ F ) @ A_1 ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ X_a @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( member @ X_a ) @ X_2 ) @ A_1 ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ X_a @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( member @ X_a ) @ Y_1 ) @ A_1 ) )
=> ( ( ( hAPP @ X_a @ X_b @ F @ X_2 )
= ( hAPP @ X_a @ X_b @ F @ Y_1 ) )
<=> ( ( ti @ X_a @ X_2 )
= ( ti @ X_a @ Y_1 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_64_inj__on__iff) ).
thf(62,axiom,
! [X_a: $i,X_b: $i,X_2: $i,Y_1: $i,F: $i,A_1: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ ( fun @ X_a @ X_b ) @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( inj_on @ X_a @ X_b ) @ F ) @ A_1 ) )
=> ( ( ( ti @ X_a @ X_2 )
!= ( ti @ X_a @ Y_1 ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ X_a @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( member @ X_a ) @ X_2 ) @ A_1 ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ X_a @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( member @ X_a ) @ Y_1 ) @ A_1 ) )
=> ( ( hAPP @ X_a @ X_b @ F @ X_2 )
!= ( hAPP @ X_a @ X_b @ F @ Y_1 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_63_inj__on__contraD) ).
thf(63,axiom,
! [X_a: $i,X_b: $i,F: $i,A_1: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ ( fun @ X_a @ X_b ) @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( inj_on @ X_a @ X_b ) @ F ) @ A_1 ) )
<=> ! [X_1: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ X_a @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( member @ X_a ) @ X_1 ) @ A_1 ) )
=> ! [Xa: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ X_a @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( member @ X_a ) @ Xa ) @ A_1 ) )
=> ( ( ( hAPP @ X_a @ X_b @ F @ X_1 )
= ( hAPP @ X_a @ X_b @ F @ Xa ) )
=> ( ( ti @ X_a @ X_1 )
= ( ti @ X_a @ Xa ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_62_inj__on__def) ).
thf(64,axiom,
! [X_a: $i,X_b: $i,X_2: $i,Y_1: $i,F: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ ( fun @ X_a @ X_b ) @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( inj_on @ X_a @ X_b ) @ F ) @ ( top_top @ ( fun @ X_a @ bool ) ) ) )
=> ( ( ( hAPP @ X_a @ X_b @ F @ X_2 )
= ( hAPP @ X_a @ X_b @ F @ Y_1 ) )
<=> ( ( ti @ X_a @ X_2 )
= ( ti @ X_a @ Y_1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_61_inj__eq) ).
thf(65,axiom,
! [X_a: $i,X_b: $i,Y_1: $i,X_2: $i,F: $i,A_1: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ ( fun @ X_a @ X_b ) @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( inj_on @ X_a @ X_b ) @ F ) @ A_1 ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ X_a @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( member @ X_a ) @ X_2 ) @ A_1 ) )
=> ( ( ( hAPP @ X_a @ X_b @ F @ X_2 )
= ( ti @ X_b @ Y_1 ) )
=> ( ( hAPP @ X_b @ X_a @ ( hAPP @ ( fun @ X_a @ X_b ) @ ( fun @ X_b @ X_a ) @ ( hAPP @ ( fun @ X_a @ bool ) @ ( fun @ ( fun @ X_a @ X_b ) @ ( fun @ X_b @ X_a ) ) @ ( hilbert_inv_into @ X_a @ X_b ) @ A_1 ) @ F ) @ Y_1 )
= ( ti @ X_a @ X_2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_60_inv__into__f__eq) ).
thf(66,axiom,
! [X_a: $i,X_b: $i,X_2: $i,F: $i,A_1: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ ( fun @ X_a @ X_b ) @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( inj_on @ X_a @ X_b ) @ F ) @ A_1 ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ X_a @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( member @ X_a ) @ X_2 ) @ A_1 ) )
=> ( ( hAPP @ X_b @ X_a @ ( hAPP @ ( fun @ X_a @ X_b ) @ ( fun @ X_b @ X_a ) @ ( hAPP @ ( fun @ X_a @ bool ) @ ( fun @ ( fun @ X_a @ X_b ) @ ( fun @ X_b @ X_a ) ) @ ( hilbert_inv_into @ X_a @ X_b ) @ A_1 ) @ F ) @ ( hAPP @ X_a @ X_b @ F @ X_2 ) )
= ( ti @ X_a @ X_2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_59_inv__into__f__f) ).
thf(67,axiom,
! [X_c: $i,X_a: $i,X_b: $i,F: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ ( fun @ X_a @ X_b ) @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( inj_on @ X_a @ X_b ) @ F ) @ ( top_top @ ( fun @ X_a @ bool ) ) ) )
=> ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ ( fun @ X_a @ ( fun @ X_c @ X_b ) ) @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( inj_on @ X_a @ ( fun @ X_c @ X_b ) ) @ ( hAPP @ ( fun @ X_a @ X_b ) @ ( fun @ X_a @ ( fun @ X_c @ X_b ) ) @ ( hAPP @ ( fun @ X_b @ ( fun @ X_c @ X_b ) ) @ ( fun @ ( fun @ X_a @ X_b ) @ ( fun @ X_a @ ( fun @ X_c @ X_b ) ) ) @ ( combb @ X_b @ ( fun @ X_c @ X_b ) @ X_a ) @ ( combk @ X_b @ X_c ) ) @ F ) ) @ ( top_top @ ( fun @ X_a @ bool ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_58_inj__fun) ).
thf(68,axiom,
! [X_a: $i,X_b: $i,X_2: $i,F: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ ( fun @ X_a @ X_b ) @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( inj_on @ X_a @ X_b ) @ F ) @ ( top_top @ ( fun @ X_a @ bool ) ) ) )
=> ( ( hAPP @ X_b @ X_a @ ( hAPP @ ( fun @ X_a @ X_b ) @ ( fun @ X_b @ X_a ) @ ( hAPP @ ( fun @ X_a @ bool ) @ ( fun @ ( fun @ X_a @ X_b ) @ ( fun @ X_b @ X_a ) ) @ ( hilbert_inv_into @ X_a @ X_b ) @ ( top_top @ ( fun @ X_a @ bool ) ) ) @ F ) @ ( hAPP @ X_a @ X_b @ F @ X_2 ) )
= ( ti @ X_a @ X_2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_57_inv__f__f) ).
thf(69,axiom,
! [X_a: $i,X_b: $i,X_2: $i,Y_1: $i,F: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ ( fun @ X_a @ X_b ) @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( inj_on @ X_a @ X_b ) @ F ) @ ( top_top @ ( fun @ X_a @ bool ) ) ) )
=> ( ( ( hAPP @ X_a @ X_b @ F @ X_2 )
= ( ti @ X_b @ Y_1 ) )
=> ( ( hAPP @ X_b @ X_a @ ( hAPP @ ( fun @ X_a @ X_b ) @ ( fun @ X_b @ X_a ) @ ( hAPP @ ( fun @ X_a @ bool ) @ ( fun @ ( fun @ X_a @ X_b ) @ ( fun @ X_b @ X_a ) ) @ ( hilbert_inv_into @ X_a @ X_b ) @ ( top_top @ ( fun @ X_a @ bool ) ) ) @ F ) @ Y_1 )
= ( ti @ X_a @ X_2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_56_inv__f__eq) ).
thf(70,axiom,
! [X_a: $i] :
( ( top @ X_a )
=> ! [Aa: $i] :
( ( ( ti @ X_a @ Aa )
!= ( top_top @ X_a ) )
<=> ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ Aa ) @ ( top_top @ X_a ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_55_less__top) ).
thf(71,axiom,
! [X_a: $i,X_b: $i,S: $i,R_1: $i] :
( ! [X_1: $i,Xa: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ X_a @ X_b ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ X_a @ X_b ) @ ( fun @ ( fun @ ( product_prod @ X_a @ X_b ) @ bool ) @ bool ) @ ( member @ ( product_prod @ X_a @ X_b ) ) @ ( hAPP @ X_b @ ( product_prod @ X_a @ X_b ) @ ( hAPP @ X_a @ ( fun @ X_b @ ( product_prod @ X_a @ X_b ) ) @ ( product_Pair @ X_a @ X_b ) @ X_1 ) @ Xa ) ) @ R_1 ) )
<=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ X_a @ X_b ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ X_a @ X_b ) @ ( fun @ ( fun @ ( product_prod @ X_a @ X_b ) @ bool ) @ bool ) @ ( member @ ( product_prod @ X_a @ X_b ) ) @ ( hAPP @ X_b @ ( product_prod @ X_a @ X_b ) @ ( hAPP @ X_a @ ( fun @ X_b @ ( product_prod @ X_a @ X_b ) ) @ ( product_Pair @ X_a @ X_b ) @ X_1 ) @ Xa ) ) @ S ) ) )
<=> ( ( ti @ ( fun @ ( product_prod @ X_a @ X_b ) @ bool ) @ R_1 )
= ( ti @ ( fun @ ( product_prod @ X_a @ X_b ) @ bool ) @ S ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_54_pred__equals__eq2) ).
thf(72,axiom,
! [X_a: $i] :
( ( top_top @ ( fun @ X_a @ bool ) )
= ( hAPP @ ( fun @ X_a @ bool ) @ ( fun @ X_a @ bool ) @ ( collect @ X_a ) @ ( hAPP @ bool @ ( fun @ X_a @ bool ) @ ( combk @ bool @ X_a ) @ fTrue ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_53_UNIV__def) ).
thf(73,axiom,
! [X_a: $i] :
( ( preorder @ X_a )
=> ! [X: $i] :
~ ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ X ) @ X ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_52_order__less__irrefl) ).
thf(74,axiom,
! [X_a: $i] :
( ( linorder @ X_a )
=> ! [X_2: $i,Y_1: $i] :
( ( ( ti @ X_a @ X_2 )
!= ( ti @ X_a @ Y_1 ) )
<=> ( ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ X_2 ) @ Y_1 ) )
| ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ Y_1 ) @ X_2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_51_linorder__neq__iff) ).
thf(75,axiom,
! [X_a: $i] :
( ( linorder @ X_a )
=> ! [X_2: $i,Y_1: $i] :
( ~ ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ X_2 ) @ Y_1 ) )
<=> ( ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ Y_1 ) @ X_2 ) )
| ( ( ti @ X_a @ X_2 )
= ( ti @ X_a @ Y_1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_50_not__less__iff__gr__or__eq) ).
thf(76,axiom,
! [X_a: $i] :
( ( linorder @ X_a )
=> ! [X: $i,Y: $i] :
( ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ X ) @ Y ) )
| ( ( ti @ X_a @ X )
= ( ti @ X_a @ Y ) )
| ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ Y ) @ X ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_49_linorder__less__linear) ).
thf(77,axiom,
! [X_a: $i] :
( ( linorder @ X_a )
=> ! [Y_1: $i,X_2: $i] :
( ~ ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ Y_1 ) @ X_2 ) )
=> ( ~ ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ X_2 ) @ Y_1 ) )
<=> ( ( ti @ X_a @ X_2 )
= ( ti @ X_a @ Y_1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_48_linorder__antisym__conv3) ).
thf(78,axiom,
! [X_a: $i] :
( ( linorder @ X_a )
=> ! [X: $i,Y: $i] :
( ( ( ti @ X_a @ X )
!= ( ti @ X_a @ Y ) )
=> ( ~ ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ X ) @ Y ) )
=> ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ Y ) @ X ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_47_linorder__neqE) ).
thf(79,axiom,
! [X_a: $i] :
( ( order @ X_a )
=> ! [X: $i,Y: $i] :
( ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ X ) @ Y ) )
=> ( X != Y ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_46_less__imp__neq) ).
thf(80,axiom,
! [X_a: $i] :
( ( preorder @ X_a )
=> ! [X: $i,Y: $i] :
( ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ X ) @ Y ) )
=> ~ ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ Y ) @ X ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_45_order__less__not__sym) ).
thf(81,axiom,
! [X_a: $i] :
( ( preorder @ X_a )
=> ! [X: $i,Y: $i] :
( ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ X ) @ Y ) )
=> ~ ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ Y ) @ X ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_44_order__less__imp__not__less) ).
thf(82,axiom,
! [X_a: $i] :
( ( order @ X_a )
=> ! [X: $i,Y: $i] :
( ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ X ) @ Y ) )
=> ( X != Y ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_43_order__less__imp__not__eq) ).
thf(83,axiom,
! [X_a: $i] :
( ( order @ X_a )
=> ! [X: $i,Y: $i] :
( ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ X ) @ Y ) )
=> ( Y != X ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_42_order__less__imp__not__eq2) ).
thf(84,axiom,
! [X_a: $i] :
( ( preorder @ X_a )
=> ! [Pa: $i,X_2: $i,Y_1: $i] :
( ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ X_2 ) @ Y_1 ) )
=> ( ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ Y_1 ) @ X_2 ) )
=> ( hBOOL @ Pa ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_41_order__less__imp__triv) ).
thf(85,axiom,
! [X_a: $i] :
( ( preorder @ X_a )
=> ! [A_3: $i,B_2: $i] :
( ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ A_3 ) @ B_2 ) )
=> ~ ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ B_2 ) @ A_3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_40_order__less__asym_H) ).
thf(86,axiom,
! [X_a: $i] :
( ( order @ X_a )
=> ! [B_2: $i,A_3: $i] :
( ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ B_2 ) @ A_3 ) )
=> ~ ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ A_3 ) @ B_2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_39_xt1_I9_J) ).
thf(87,axiom,
! [X_a: $i] :
( ( ord @ X_a )
=> ! [C: $i,A_3: $i,B_2: $i] :
( ( A_3 = B_2 )
=> ( ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ B_2 ) @ C ) )
=> ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ A_3 ) @ C ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_38_ord__eq__less__trans) ).
thf(88,axiom,
! [X_a: $i] :
( ( order @ X_a )
=> ! [C: $i,A_3: $i,B_2: $i] :
( ( A_3 = B_2 )
=> ( ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ C ) @ B_2 ) )
=> ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ C ) @ A_3 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_37_xt1_I1_J) ).
thf(89,axiom,
! [X_a: $i] :
( ( ord @ X_a )
=> ! [C: $i,A_3: $i,B_2: $i] :
( ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ A_3 ) @ B_2 ) )
=> ( ( B_2 = C )
=> ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ A_3 ) @ C ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_36_ord__less__eq__trans) ).
thf(90,axiom,
! [X_a: $i] :
( ( order @ X_a )
=> ! [C: $i,B_2: $i,A_3: $i] :
( ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ B_2 ) @ A_3 ) )
=> ( ( B_2 = C )
=> ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ C ) @ A_3 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_35_xt1_I2_J) ).
thf(91,axiom,
! [X_a: $i] :
( ( preorder @ X_a )
=> ! [Z: $i,X: $i,Y: $i] :
( ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ X ) @ Y ) )
=> ( ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ Y ) @ Z ) )
=> ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ X ) @ Z ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_34_order__less__trans) ).
thf(92,axiom,
! [X_a: $i] :
( ( order @ X_a )
=> ! [Z: $i,Y: $i,X: $i] :
( ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ Y ) @ X ) )
=> ( ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ Z ) @ Y ) )
=> ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ Z ) @ X ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_33_xt1_I10_J) ).
thf(93,axiom,
! [X_a: $i] :
( ( preorder @ X_a )
=> ! [X: $i,Y: $i] :
( ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ X ) @ Y ) )
=> ~ ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ Y ) @ X ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_32_order__less__asym) ).
thf(94,axiom,
! [X_a: $i] :
( ( linorder @ X_a )
=> ! [X: $i,Y: $i] :
( ~ ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ X ) @ Y ) )
=> ( ( ( ti @ X_a @ X )
!= ( ti @ X_a @ Y ) )
=> ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ Y ) @ X ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_31_linorder__cases) ).
thf(95,axiom,
! [X_a: $i] :
( ( top @ X_a )
=> ! [A_3: $i] :
~ ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ ( top_top @ X_a ) ) @ A_3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_30_not__top__less) ).
thf(96,axiom,
! [X_b: $i,X_a: $i] :
( ( top @ X_a )
=> ! [X_2: $i] :
( ( hAPP @ X_b @ X_a @ ( top_top @ ( fun @ X_b @ X_a ) ) @ X_2 )
= ( top_top @ X_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_29_top__apply) ).
thf(97,axiom,
! [X_b: $i,X_c: $i,X_a: $i,F1: $i,Aa: $i,Ba: $i] :
( ( hAPP @ ( product_prod @ X_b @ X_c ) @ X_a @ ( hAPP @ ( fun @ X_b @ ( fun @ X_c @ X_a ) ) @ ( fun @ ( product_prod @ X_b @ X_c ) @ X_a ) @ ( product_prod_rec @ X_b @ X_c @ X_a ) @ F1 ) @ ( hAPP @ X_c @ ( product_prod @ X_b @ X_c ) @ ( hAPP @ X_b @ ( fun @ X_c @ ( product_prod @ X_b @ X_c ) ) @ ( product_Pair @ X_b @ X_c ) @ Aa ) @ Ba ) )
= ( hAPP @ X_c @ X_a @ ( hAPP @ X_b @ ( fun @ X_c @ X_a ) @ F1 @ Aa ) @ Ba ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_28_prod_Orecs) ).
thf(98,axiom,
! [X_a: $i,X_2: $i] : ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ X_a @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( member @ X_a ) @ X_2 ) @ ( top_top @ ( fun @ X_a @ bool ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_27_iso__tuple__UNIV__I) ).
thf(99,axiom,
! [X_a: $i,X_2: $i] : ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ X_a @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( member @ X_a ) @ X_2 ) @ ( top_top @ ( fun @ X_a @ bool ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_26_UNIV__I) ).
thf(100,axiom,
! [X_a: $i,X_2: $i] : ( hBOOL @ ( hAPP @ X_a @ bool @ ( top_top @ ( fun @ X_a @ bool ) ) @ X_2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_25_top1I) ).
thf(101,axiom,
! [Fa: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_1932713123nimity @ Fa ) )
<=> ! [X_1: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ X_1 ) @ arrow_1834574746e_Prof ) )
=> ! [A_2: $i,B_1: $i] :
( ! [I: $i] : ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ A_2 ) @ B_1 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ X_1 @ I ) ) )
=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ A_2 ) @ B_1 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ Fa @ X_1 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_24_unanimity__def) ).
thf(102,axiom,
! [Fa: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ Fa ) )
<=> ! [X_1: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ X_1 ) @ arrow_1834574746e_Prof ) )
=> ! [Xa: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ Xa ) @ arrow_1834574746e_Prof ) )
=> ! [A_2: $i,B_1: $i] :
( ! [I: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ A_2 ) @ B_1 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ X_1 @ I ) ) )
<=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ A_2 ) @ B_1 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ Xa @ I ) ) ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ A_2 ) @ B_1 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ Fa @ X_1 ) ) )
<=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ A_2 ) @ B_1 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ Fa @ Xa ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_23_IIA__def) ).
thf(103,axiom,
! [X_b: $i,X_a: $i,Aa: $i,Ba: $i,A_4: $i,B_3: $i] :
( ( ( hAPP @ X_b @ ( product_prod @ X_a @ X_b ) @ ( hAPP @ X_a @ ( fun @ X_b @ ( product_prod @ X_a @ X_b ) ) @ ( product_Pair @ X_a @ X_b ) @ Aa ) @ Ba )
= ( hAPP @ X_b @ ( product_prod @ X_a @ X_b ) @ ( hAPP @ X_a @ ( fun @ X_b @ ( product_prod @ X_a @ X_b ) ) @ ( product_Pair @ X_a @ X_b ) @ A_4 ) @ B_3 ) )
<=> ( ( ( ti @ X_a @ Aa )
= ( ti @ X_a @ A_4 ) )
& ( ( ti @ X_b @ Ba )
= ( ti @ X_b @ B_3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_22_Pair__eq) ).
thf(104,axiom,
! [X_b: $i,X_a: $i,A_3: $i,B_2: $i,A_5: $i,B_4: $i] :
( ( ( hAPP @ X_b @ ( product_prod @ X_a @ X_b ) @ ( hAPP @ X_a @ ( fun @ X_b @ ( product_prod @ X_a @ X_b ) ) @ ( product_Pair @ X_a @ X_b ) @ A_3 ) @ B_2 )
= ( hAPP @ X_b @ ( product_prod @ X_a @ X_b ) @ ( hAPP @ X_a @ ( fun @ X_b @ ( product_prod @ X_a @ X_b ) ) @ ( product_Pair @ X_a @ X_b ) @ A_5 ) @ B_4 ) )
=> ~ ( ( ( ti @ X_a @ A_3 )
= ( ti @ X_a @ A_5 ) )
=> ( ( ti @ X_b @ B_2 )
!= ( ti @ X_b @ B_4 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_21_Pair__inject) ).
thf(105,axiom,
hBOOL @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ bool ) @ ( inj_on @ arrow_1384031255e_indi @ nat ) @ h ) @ ( top_top @ ( fun @ arrow_1384031255e_indi @ bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_20_injh) ).
thf(106,axiom,
hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ n ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ nat @ ( finite_card @ arrow_1384031255e_indi ) @ ( top_top @ ( fun @ arrow_1384031255e_indi @ bool ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_19_n_I1_J) ).
thf(107,axiom,
hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( ord_less @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_992993526_mktop ) @ p ) ) @ e ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( fequal @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ arrow_1726925404_above ) @ p ) ) @ c ) ) @ e ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_844286440_mkbot ) @ p ) ) @ e ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_18__096e_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto) ).
thf(108,axiom,
hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ e ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( ord_less @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_992993526_mktop ) @ p ) ) @ e ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( fequal @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ arrow_1726925404_above ) @ p ) ) @ c ) ) @ e ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_844286440_mkbot ) @ p ) ) @ e ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_17__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto) ).
thf(109,axiom,
hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( ord_less @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_992993526_mktop ) @ p ) ) @ e ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( fequal @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ arrow_1726925404_above ) @ p ) ) @ c ) ) @ e ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_844286440_mkbot ) @ p ) ) @ e ) ) ) ) @ arrow_1834574746e_Prof ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_16__096_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amktop_A_IP_Ai_J_Ae_Aelse_Aif_Ah_Ai) ).
thf(110,axiom,
! [X_a: $i,X_b: $i,Pa: $i] :
( ! [X1: $i] : ( hBOOL @ ( hAPP @ ( product_prod @ X_a @ X_b ) @ bool @ Pa @ X1 ) )
<=> ! [A_2: $i,B_1: $i] : ( hBOOL @ ( hAPP @ ( product_prod @ X_a @ X_b ) @ bool @ Pa @ ( hAPP @ X_b @ ( product_prod @ X_a @ X_b ) @ ( hAPP @ X_a @ ( fun @ X_b @ ( product_prod @ X_a @ X_b ) ) @ ( product_Pair @ X_a @ X_b ) @ A_2 ) @ B_1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_15_split__paired__All) ).
thf(111,axiom,
( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ p ) ) )
<=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( ord_less @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_992993526_mktop ) @ p ) ) @ e ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( fequal @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ arrow_1726925404_above ) @ p ) ) @ c ) ) @ e ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_844286440_mkbot ) @ p ) ) @ e ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_14_PW) ).
thf(112,axiom,
hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( ord_less @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_992993526_mktop ) @ p ) ) @ e ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( fequal @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ arrow_1726925404_above ) @ p ) ) @ c ) ) @ e ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_844286440_mkbot ) @ p ) ) @ e ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_13__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto) ).
thf(113,axiom,
hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ ( hAPP @ nat @ arrow_1384031255e_indi @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ nat @ arrow_1384031255e_indi ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ nat @ arrow_1384031255e_indi ) ) @ ( hilbert_inv_into @ arrow_1384031255e_indi @ nat ) @ ( top_top @ ( fun @ arrow_1384031255e_indi @ bool ) ) ) @ h ) @ n ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_12__096c_A_060_092_060_094bsub_062P_A_Iinv_Ah_An_J_092_060_094esub_062_Ad_0) ).
thf(114,axiom,
! [I: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ I ) ) )
<=> ( ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ I ) ) @ n ) )
=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ I ) ) @ e ) ) ) )
& ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ I ) ) @ n ) )
=> ( ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ I )
= n )
=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ I ) ) @ c ) @ e ) ) ) )
& ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ I )
!= n )
=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ I ) ) @ e ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_11__096ALL_Ai_O_A_Ic_A_060_092_060_094bsub_062P_Ai_092_060_094esub_062_Ad_J) ).
thf(115,axiom,
! [P_1: $i,Pa: $i,Aa: $i,Ba: $i] :
( ( ( ti @ arrow_1212486748le_alt @ Aa )
!= ( ti @ arrow_1212486748le_alt @ Ba ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ Pa ) @ arrow_1834574746e_Prof ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ P_1 ) @ arrow_1834574746e_Prof ) )
=> ( ! [I: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ Aa ) @ Ba ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ Pa @ I ) ) )
<=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ Ba ) @ Aa ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ P_1 @ I ) ) ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ Aa ) @ Ba ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ Pa ) ) )
<=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ Ba ) @ Aa ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ P_1 ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_10__C3_C) ).
thf(116,axiom,
! [P_1: $i,Pa: $i,A_4: $i,B_3: $i,Aa: $i,Ba: $i] :
( ( ( ti @ arrow_1212486748le_alt @ Aa )
!= ( ti @ arrow_1212486748le_alt @ Ba ) )
=> ( ( ( ti @ arrow_1212486748le_alt @ A_4 )
!= ( ti @ arrow_1212486748le_alt @ B_3 ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ Pa ) @ arrow_1834574746e_Prof ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ P_1 ) @ arrow_1834574746e_Prof ) )
=> ( ! [I: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ Aa ) @ Ba ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ Pa @ I ) ) )
<=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ A_4 ) @ B_3 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ P_1 @ I ) ) ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ Aa ) @ Ba ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ Pa ) ) )
<=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ A_4 ) @ B_3 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ P_1 ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9_pairwise__neutrality) ).
thf(117,axiom,
! [P_1: $i,Pa: $i,Ca: $i,Aa: $i,Ba: $i] :
( ( ( ti @ arrow_1212486748le_alt @ Aa )
!= ( ti @ arrow_1212486748le_alt @ Ba ) )
=> ( ( ( ti @ arrow_1212486748le_alt @ Ba )
!= ( ti @ arrow_1212486748le_alt @ Ca ) )
=> ( ( ( ti @ arrow_1212486748le_alt @ Aa )
!= ( ti @ arrow_1212486748le_alt @ Ca ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ Pa ) @ arrow_1834574746e_Prof ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ P_1 ) @ arrow_1834574746e_Prof ) )
=> ( ! [I: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ Aa ) @ Ba ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ Pa @ I ) ) )
<=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ Ba ) @ Ca ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ P_1 @ I ) ) ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ Aa ) @ Ba ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ Pa ) ) )
<=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ Ba ) @ Ca ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ P_1 ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8__C4_C) ).
thf(118,axiom,
! [P_1: $i,Pa: $i,A_4: $i,B_3: $i,Aa: $i,Ba: $i] :
( ( ( ti @ arrow_1212486748le_alt @ Aa )
!= ( ti @ arrow_1212486748le_alt @ Ba ) )
=> ( ( ( ti @ arrow_1212486748le_alt @ A_4 )
!= ( ti @ arrow_1212486748le_alt @ B_3 ) )
=> ( ( ( ti @ arrow_1212486748le_alt @ Aa )
!= ( ti @ arrow_1212486748le_alt @ B_3 ) )
=> ( ( ( ti @ arrow_1212486748le_alt @ Ba )
!= ( ti @ arrow_1212486748le_alt @ A_4 ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ Pa ) @ arrow_1834574746e_Prof ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ P_1 ) @ arrow_1834574746e_Prof ) )
=> ( ! [I: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ Aa ) @ Ba ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ Pa @ I ) ) )
<=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ A_4 ) @ B_3 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ P_1 @ I ) ) ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ Aa ) @ Ba ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ Pa ) ) )
=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ A_4 ) @ B_3 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ P_1 ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7__C1_C) ).
thf(119,axiom,
! [P_1: $i,Pa: $i,A_4: $i,B_3: $i,Aa: $i,Ba: $i] :
( ( ( ti @ arrow_1212486748le_alt @ Aa )
!= ( ti @ arrow_1212486748le_alt @ Ba ) )
=> ( ( ( ti @ arrow_1212486748le_alt @ A_4 )
!= ( ti @ arrow_1212486748le_alt @ B_3 ) )
=> ( ( ( ti @ arrow_1212486748le_alt @ Aa )
!= ( ti @ arrow_1212486748le_alt @ B_3 ) )
=> ( ( ( ti @ arrow_1212486748le_alt @ Ba )
!= ( ti @ arrow_1212486748le_alt @ A_4 ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ Pa ) @ arrow_1834574746e_Prof ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ P_1 ) @ arrow_1834574746e_Prof ) )
=> ( ! [I: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ Aa ) @ Ba ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ Pa @ I ) ) )
<=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ A_4 ) @ B_3 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ P_1 @ I ) ) ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ Aa ) @ Ba ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ Pa ) ) )
<=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ A_4 ) @ B_3 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ P_1 ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6__C2_C) ).
thf(120,axiom,
! [X_2: $i,Y_1: $i,L: $i,Z_1: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ X_2 ) @ Y_1 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ L ) @ Z_1 ) ) )
<=> ( ( ( ti @ arrow_1212486748le_alt @ X_2 )
!= ( ti @ arrow_1212486748le_alt @ Z_1 ) )
& ( ( ( ti @ arrow_1212486748le_alt @ Y_1 )
= ( ti @ arrow_1212486748le_alt @ Z_1 ) )
=> ( ( ti @ arrow_1212486748le_alt @ X_2 )
!= ( ti @ arrow_1212486748le_alt @ Y_1 ) ) )
& ( ( ( ti @ arrow_1212486748le_alt @ Y_1 )
!= ( ti @ arrow_1212486748le_alt @ Z_1 ) )
=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ X_2 ) @ Y_1 ) ) @ L ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5_in__mktop) ).
thf(121,axiom,
! [X_2: $i,Y_1: $i,L: $i,Z_1: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ X_2 ) @ Y_1 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ L ) @ Z_1 ) ) )
<=> ( ( ( ti @ arrow_1212486748le_alt @ Y_1 )
!= ( ti @ arrow_1212486748le_alt @ Z_1 ) )
& ( ( ( ti @ arrow_1212486748le_alt @ X_2 )
= ( ti @ arrow_1212486748le_alt @ Z_1 ) )
=> ( ( ti @ arrow_1212486748le_alt @ X_2 )
!= ( ti @ arrow_1212486748le_alt @ Y_1 ) ) )
& ( ( ( ti @ arrow_1212486748le_alt @ X_2 )
!= ( ti @ arrow_1212486748le_alt @ Z_1 ) )
=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ X_2 ) @ Y_1 ) ) @ L ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_in__mkbot) ).
thf(122,axiom,
hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ p ) @ arrow_1834574746e_Prof ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3__096P_A_058_AProf_096) ).
thf(123,axiom,
c != d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2__096c_A_126_061_Ad_096) ).
thf(124,axiom,
hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_1932713123nimity @ f ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_u) ).
thf(125,axiom,
hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ f ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_assms_I3_J) ).
thf(126,axiom,
( ( ti @ nat @ n )
= n ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tsy_v_n_____res) ).
thf(127,axiom,
( ( ti @ ( fun @ arrow_1384031255e_indi @ nat ) @ h )
= h ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tsy_v_h_____res) ).
thf(128,axiom,
( ( ti @ arrow_1212486748le_alt @ e )
= e ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tsy_v_e_____res) ).
thf(129,axiom,
( ( ti @ arrow_1212486748le_alt @ b )
= b ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tsy_v_b_____res) ).
thf(130,axiom,
( ( ti @ arrow_1212486748le_alt @ a )
= a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tsy_v_a_____res) ).
thf(131,axiom,
( ( ti @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ lba )
= lba ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tsy_v_Lba_____res) ).
thf(132,axiom,
( ( ti @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ lab )
= lab ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tsy_v_Lab_____res) ).
thf(133,axiom,
! [X_a: $i] :
( ( ti @ ( fun @ X_a @ ( fun @ ( fun @ X_a @ bool ) @ bool ) ) @ ( member @ X_a ) )
= ( member @ X_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tsy_c_member_res) ).
thf(134,axiom,
! [X_c: $i,X_a: $i,B_1_1: $i,B_2_1: $i] :
( ( ti @ X_c @ ( hAPP @ X_a @ X_c @ B_1_1 @ B_2_1 ) )
= ( hAPP @ X_a @ X_c @ B_1_1 @ B_2_1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tsy_c_hAPP_res) ).
thf(135,axiom,
! [X_a: $i,X_c: $i,B_1_1: $i,B_2_1: $i] :
( ( hAPP @ X_a @ X_c @ B_1_1 @ ( ti @ X_a @ B_2_1 ) )
= ( hAPP @ X_a @ X_c @ B_1_1 @ B_2_1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tsy_c_hAPP_arg2) ).
thf(136,axiom,
! [X_a: $i,X_c: $i,B_1_1: $i,B_2_1: $i] :
( ( hAPP @ X_a @ X_c @ ( ti @ ( fun @ X_a @ X_c ) @ B_1_1 ) @ B_2_1 )
= ( hAPP @ X_a @ X_c @ B_1_1 @ B_2_1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tsy_c_hAPP_arg1) ).
thf(137,axiom,
! [X_a: $i] :
( ( ti @ ( fun @ X_a @ ( fun @ X_a @ bool ) ) @ ( fequal @ X_a ) )
= ( fequal @ X_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tsy_c_fequal_res) ).
thf(138,axiom,
( ( ti @ bool @ fTrue )
= fTrue ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tsy_c_fTrue_res) ).
thf(139,axiom,
( ( ti @ bool @ fFalse )
= fFalse ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tsy_c_fFalse_res) ).
thf(140,axiom,
! [X_a: $i] :
( ( ti @ ( fun @ ( fun @ X_a @ bool ) @ ( fun @ X_a @ bool ) ) @ ( collect @ X_a ) )
= ( collect @ X_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tsy_c_Set_OCollect_res) ).
thf(141,axiom,
! [X_b: $i,X_c: $i,X_a: $i] :
( ( ti @ ( fun @ ( fun @ X_b @ ( fun @ X_c @ X_a ) ) @ ( fun @ ( product_prod @ X_b @ X_c ) @ X_a ) ) @ ( product_prod_rec @ X_b @ X_c @ X_a ) )
= ( product_prod_rec @ X_b @ X_c @ X_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tsy_c_Product__Type_Oprod_Oprod__rec_res) ).
thf(142,axiom,
! [X_a: $i,X_b: $i] :
( ( ti @ ( fun @ X_a @ ( fun @ X_b @ ( product_prod @ X_a @ X_b ) ) ) @ ( product_Pair @ X_a @ X_b ) )
= ( product_Pair @ X_a @ X_b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tsy_c_Product__Type_OPair_res) ).
thf(143,axiom,
! [X_a: $i] :
( ( top @ X_a )
=> ( ( ti @ X_a @ ( top_top @ X_a ) )
= ( top_top @ X_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tsy_c_Orderings_Otop__class_Otop_res) ).
thf(144,axiom,
! [X_a: $i] :
( ( ord @ X_a )
=> ( ( ti @ ( fun @ X_a @ ( fun @ X_a @ bool ) ) @ ( ord_less @ X_a ) )
= ( ord_less @ X_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tsy_c_Orderings_Oord__class_Oless_res) ).
thf(145,axiom,
! [X_a: $i] :
( ( ti @ ( fun @ bool @ ( fun @ X_a @ ( fun @ X_a @ X_a ) ) ) @ ( if @ X_a ) )
= ( if @ X_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tsy_c_If_res) ).
thf(146,axiom,
! [X_a: $i,X_b: $i] :
( ( ti @ ( fun @ ( fun @ X_a @ bool ) @ ( fun @ ( fun @ X_a @ X_b ) @ ( fun @ X_b @ X_a ) ) ) @ ( hilbert_inv_into @ X_a @ X_b ) )
= ( hilbert_inv_into @ X_a @ X_b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tsy_c_Hilbert__Choice_Oinv__into_res) ).
thf(147,axiom,
! [X_a: $i] :
( ( ti @ X_a @ ( undefined @ X_a ) )
= ( undefined @ X_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tsy_c_HOL_Oundefined_res) ).
thf(148,axiom,
! [X_a: $i,X_b: $i] :
( ( ti @ ( fun @ ( fun @ X_a @ bool ) @ ( fun @ ( fun @ X_a @ ( fun @ X_b @ bool ) ) @ ( fun @ ( fun @ X_a @ X_b ) @ bool ) ) ) @ ( pi @ X_a @ X_b ) )
= ( pi @ X_a @ X_b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tsy_c_FuncSet_OPi_res) ).
thf(149,axiom,
! [X_a: $i,X_b: $i] :
( ( ti @ ( fun @ ( fun @ X_a @ X_b ) @ ( fun @ ( fun @ X_a @ bool ) @ bool ) ) @ ( inj_on @ X_a @ X_b ) )
= ( inj_on @ X_a @ X_b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tsy_c_Fun_Oinj__on_res) ).
thf(150,axiom,
( ( ti @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ nat ) @ ( finite_card @ arrow_1384031255e_indi ) )
= ( finite_card @ arrow_1384031255e_indi ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tsy_c_Finite__Set_Ocard_res) ).
thf(151,axiom,
! [X_a: $i,X_b: $i,X_c: $i] :
( ( ti @ ( fun @ ( fun @ X_a @ ( fun @ X_b @ X_c ) ) @ ( fun @ ( fun @ X_a @ X_b ) @ ( fun @ X_a @ X_c ) ) ) @ ( combs @ X_a @ X_b @ X_c ) )
= ( combs @ X_a @ X_b @ X_c ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tsy_c_COMBS_res) ).
thf(152,axiom,
! [X_a: $i,X_b: $i] :
( ( ti @ ( fun @ X_a @ ( fun @ X_b @ X_a ) ) @ ( combk @ X_a @ X_b ) )
= ( combk @ X_a @ X_b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tsy_c_COMBK_res) ).
thf(153,axiom,
! [X_a: $i] :
( ( ti @ ( fun @ X_a @ X_a ) @ ( combi @ X_a ) )
= ( combi @ X_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tsy_c_COMBI_res) ).
thf(154,axiom,
! [X_a: $i,X_b: $i,X_c: $i] :
( ( ti @ ( fun @ ( fun @ X_a @ ( fun @ X_b @ X_c ) ) @ ( fun @ X_b @ ( fun @ X_a @ X_c ) ) ) @ ( combc @ X_a @ X_b @ X_c ) )
= ( combc @ X_a @ X_b @ X_c ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tsy_c_COMBC_res) ).
thf(155,axiom,
! [X_b: $i,X_c: $i,X_a: $i] :
( ( ti @ ( fun @ ( fun @ X_b @ X_c ) @ ( fun @ ( fun @ X_a @ X_b ) @ ( fun @ X_a @ X_c ) ) ) @ ( combb @ X_b @ X_c @ X_a ) )
= ( combb @ X_b @ X_c @ X_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tsy_c_COMBB_res) ).
thf(156,axiom,
( ( ti @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ arrow_1932713123nimity )
= arrow_1932713123nimity ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tsy_c_Arrow__Order__Mirabelle__rvjphhsdgg_Ounanimity_res) ).
thf(157,axiom,
( ( ti @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_992993526_mktop )
= arrow_992993526_mktop ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tsy_c_Arrow__Order__Mirabelle__rvjphhsdgg_Omktop_res) ).
thf(158,axiom,
( ( ti @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_844286440_mkbot )
= arrow_844286440_mkbot ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tsy_c_Arrow__Order__Mirabelle__rvjphhsdgg_Omkbot_res) ).
thf(159,axiom,
( ( ti @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ arrow_1990387629ctator )
= arrow_1990387629ctator ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tsy_c_Arrow__Order__Mirabelle__rvjphhsdgg_Odictator_res) ).
thf(160,axiom,
( ( ti @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ arrow_1726925404_above )
= arrow_1726925404_above ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tsy_c_Arrow__Order__Mirabelle__rvjphhsdgg_Oabove_res) ).
thf(161,axiom,
( ( ti @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ arrow_1834574746e_Prof )
= arrow_1834574746e_Prof ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tsy_c_Arrow__Order__Mirabelle__rvjphhsdgg_OProf_res) ).
thf(162,axiom,
( ( ti @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ arrow_638930832le_Lin )
= arrow_638930832le_Lin ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tsy_c_Arrow__Order__Mirabelle__rvjphhsdgg_OLin_res) ).
thf(163,axiom,
( ( ti @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ arrow_612047104le_IIA )
= arrow_612047104le_IIA ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tsy_c_Arrow__Order__Mirabelle__rvjphhsdgg_OIIA_res) ).
thf(164,axiom,
( ( ti @ arrow_1212486748le_alt @ d )
= d ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tsy_v_d_____res) ).
thf(165,axiom,
( ( ti @ arrow_1212486748le_alt @ c )
= c ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tsy_v_c_____res) ).
thf(166,axiom,
( ( ti @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ p )
= p ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tsy_v_P_____res) ).
thf(167,axiom,
( ( ti @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ f )
= f ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tsy_v_F_res) ).
thf(168,axiom,
! [B_1_1: $i] :
( ( hBOOL @ ( ti @ bool @ B_1_1 ) )
<=> ( hBOOL @ B_1_1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tsy_c_hBOOL_arg1) ).
thf(169,conjecture,
hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ p ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(170,negated_conjecture,
( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ p ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[169]) ).
thf(171,plain,
( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ p ) ) )
= $false ),
inference(unfold_def,[status(thm)],[170]) ).
thf(172,plain,
( ( ! [X_a: $i,X: $i,Y: $i] :
( ( ( ti @ X_a @ X )
!= ( ti @ X_a @ Y ) )
| ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( fequal @ X_a ) @ X ) @ Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(173,plain,
( ( ! [X_a: $i,X: $i,Y: $i] :
( ~ ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( fequal @ X_a ) @ X ) @ Y ) )
| ( ( ti @ X_a @ X )
= ( ti @ X_a @ Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(174,plain,
( ( ! [P: $i] :
( ( ( ti @ bool @ P )
= fTrue )
| ( ( ti @ bool @ P )
= fFalse ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(175,plain,
( ( hBOOL @ fTrue )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(176,plain,
( ( ! [X_a: $i,X_c: $i,X_b: $i,P: $i,Q: $i,R: $i] :
( ( hAPP @ X_a @ X_c @ ( hAPP @ ( fun @ X_a @ X_b ) @ ( fun @ X_a @ X_c ) @ ( hAPP @ ( fun @ X_a @ ( fun @ X_b @ X_c ) ) @ ( fun @ ( fun @ X_a @ X_b ) @ ( fun @ X_a @ X_c ) ) @ ( combs @ X_a @ X_b @ X_c ) @ P ) @ Q ) @ R )
= ( hAPP @ X_b @ X_c @ ( hAPP @ X_a @ ( fun @ X_b @ X_c ) @ P @ R ) @ ( hAPP @ X_a @ X_b @ Q @ R ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(177,plain,
( ( ! [X_b: $i,X_a: $i,P: $i,Q: $i] :
( ( hAPP @ X_b @ X_a @ ( hAPP @ X_a @ ( fun @ X_b @ X_a ) @ ( combk @ X_a @ X_b ) @ P ) @ Q )
= ( ti @ X_a @ P ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(178,plain,
( ( ! [X_a: $i,P: $i] :
( ( hAPP @ X_a @ X_a @ ( combi @ X_a ) @ P )
= ( ti @ X_a @ P ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(179,plain,
( ( ! [X_a: $i,X_c: $i,X_b: $i,P: $i,Q: $i,R: $i] :
( ( hAPP @ X_a @ X_c @ ( hAPP @ X_b @ ( fun @ X_a @ X_c ) @ ( hAPP @ ( fun @ X_a @ ( fun @ X_b @ X_c ) ) @ ( fun @ X_b @ ( fun @ X_a @ X_c ) ) @ ( combc @ X_a @ X_b @ X_c ) @ P ) @ Q ) @ R )
= ( hAPP @ X_b @ X_c @ ( hAPP @ X_a @ ( fun @ X_b @ X_c ) @ P @ R ) @ Q ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(180,plain,
( ( ! [X_a: $i,X_c: $i,X_b: $i,P: $i,Q: $i,R: $i] :
( ( hAPP @ X_a @ X_c @ ( hAPP @ ( fun @ X_a @ X_b ) @ ( fun @ X_a @ X_c ) @ ( hAPP @ ( fun @ X_b @ X_c ) @ ( fun @ ( fun @ X_a @ X_b ) @ ( fun @ X_a @ X_c ) ) @ ( combb @ X_b @ X_c @ X_a ) @ P ) @ Q ) @ R )
= ( hAPP @ X_b @ X_c @ P @ ( hAPP @ X_a @ X_b @ Q @ R ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(181,plain,
( ( ! [P: $i] :
( ( ( ti @ bool @ P )
= fTrue )
| ( ( ti @ bool @ P )
= fFalse ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(182,plain,
( ( ! [X_a: $i,X: $i,Y: $i] :
( ( hAPP @ X_a @ X_a @ ( hAPP @ X_a @ ( fun @ X_a @ X_a ) @ ( hAPP @ bool @ ( fun @ X_a @ ( fun @ X_a @ X_a ) ) @ ( if @ X_a ) @ fFalse ) @ X ) @ Y )
= ( ti @ X_a @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(183,plain,
( ( ! [X_a: $i,X: $i,Y: $i] :
( ( hAPP @ X_a @ X_a @ ( hAPP @ X_a @ ( fun @ X_a @ X_a ) @ ( hAPP @ bool @ ( fun @ X_a @ ( fun @ X_a @ X_a ) ) @ ( if @ X_a ) @ fTrue ) @ X ) @ Y )
= ( ti @ X_a @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(184,plain,
( ( ! [T: $i,A: $i] :
( ( ti @ T @ ( ti @ T @ A ) )
= ( ti @ T @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(185,plain,
( ( ord @ bool )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(186,plain,
( ( top @ bool )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(187,plain,
( ( order @ bool )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(188,plain,
( ( preorder @ bool )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(189,plain,
( ( ord @ nat )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(190,plain,
( ( order @ nat )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(191,plain,
( ( linorder @ nat )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(192,plain,
( ( preorder @ nat )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(193,plain,
( ( ! [T_2: $i,T_1: $i] :
( ( ord @ T_1 )
=> ( ord @ ( fun @ T_2 @ T_1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(194,plain,
( ( ! [T_2: $i,T_1: $i] :
( ( top @ T_1 )
=> ( top @ ( fun @ T_2 @ T_1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(195,plain,
( ( ! [T_2: $i,T_1: $i] :
( ( order @ T_1 )
=> ( order @ ( fun @ T_2 @ T_1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(196,plain,
( ( ! [T_2: $i,T_1: $i] :
( ( preorder @ T_1 )
=> ( preorder @ ( fun @ T_2 @ T_1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(197,plain,
( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(198,plain,
( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ a ) @ b ) ) @ lba ) ) )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(199,plain,
( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ a ) @ b ) ) @ lab ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(200,plain,
( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(201,plain,
( ( a != b )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(202,plain,
( ( ! [I: $i] :
( ( ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ I ) ) @ n ) )
=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ I ) ) @ e ) ) ) )
& ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ I ) ) @ n ) )
=> ( ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ I )
= n )
=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ I ) ) @ c ) @ e ) ) ) )
& ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ I )
!= n )
=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ I ) ) @ e ) ) ) ) ) ) )
<=> ( ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ I ) ) @ n ) )
=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
& ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ I ) ) @ n ) )
=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(203,plain,
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( ord_less @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_992993526_mktop ) @ p ) ) @ e ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( fequal @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ arrow_1726925404_above ) @ p ) ) @ c ) ) @ e ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_844286440_mkbot ) @ p ) ) @ e ) ) ) ) ) )
<=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combc @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( ord_less @ nat ) ) @ h ) ) @ n ) ) ) @ lab ) ) @ lba ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(204,plain,
( ( ! [X_a: $i,X_b: $i,A_1: $i] :
( ( hAPP @ ( fun @ X_a @ ( fun @ X_b @ bool ) ) @ ( fun @ ( fun @ X_a @ X_b ) @ bool ) @ ( hAPP @ ( fun @ X_a @ bool ) @ ( fun @ ( fun @ X_a @ ( fun @ X_b @ bool ) ) @ ( fun @ ( fun @ X_a @ X_b ) @ bool ) ) @ ( pi @ X_a @ X_b ) @ A_1 ) @ ( hAPP @ ( fun @ X_b @ bool ) @ ( fun @ X_a @ ( fun @ X_b @ bool ) ) @ ( combk @ ( fun @ X_b @ bool ) @ X_a ) @ ( top_top @ ( fun @ X_b @ bool ) ) ) )
= ( top_top @ ( fun @ ( fun @ X_a @ X_b ) @ bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(205,plain,
( ( ! [Fa: $i,I_1: $i] :
( ( hBOOL @ ( hAPP @ arrow_1384031255e_indi @ bool @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ bool ) @ arrow_1990387629ctator @ Fa ) @ I_1 ) )
<=> ! [X_1: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ X_1 ) @ arrow_1834574746e_Prof ) )
=> ( ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ Fa @ X_1 )
= ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ X_1 @ I_1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(206,plain,
( ( ! [X_a: $i,A_1: $i] : ( hBOOL @ ( hAPP @ ( fun @ ( fun @ X_a @ X_a ) @ bool ) @ bool @ ( hAPP @ ( fun @ X_a @ X_a ) @ ( fun @ ( fun @ ( fun @ X_a @ X_a ) @ bool ) @ bool ) @ ( member @ ( fun @ X_a @ X_a ) ) @ ( combi @ X_a ) ) @ ( hAPP @ ( fun @ X_a @ ( fun @ X_a @ bool ) ) @ ( fun @ ( fun @ X_a @ X_a ) @ bool ) @ ( hAPP @ ( fun @ X_a @ bool ) @ ( fun @ ( fun @ X_a @ ( fun @ X_a @ bool ) ) @ ( fun @ ( fun @ X_a @ X_a ) @ bool ) ) @ ( pi @ X_a @ X_a ) @ A_1 ) @ ( hAPP @ ( fun @ X_a @ bool ) @ ( fun @ X_a @ ( fun @ X_a @ bool ) ) @ ( combk @ ( fun @ X_a @ bool ) @ X_a ) @ A_1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(207,plain,
( ( ! [X_a: $i,X_b: $i,X_2: $i,F: $i,A_1: $i,B: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ X_a @ X_b ) @ bool ) @ bool @ ( hAPP @ ( fun @ X_a @ X_b ) @ ( fun @ ( fun @ ( fun @ X_a @ X_b ) @ bool ) @ bool ) @ ( member @ ( fun @ X_a @ X_b ) ) @ F ) @ ( hAPP @ ( fun @ X_a @ ( fun @ X_b @ bool ) ) @ ( fun @ ( fun @ X_a @ X_b ) @ bool ) @ ( hAPP @ ( fun @ X_a @ bool ) @ ( fun @ ( fun @ X_a @ ( fun @ X_b @ bool ) ) @ ( fun @ ( fun @ X_a @ X_b ) @ bool ) ) @ ( pi @ X_a @ X_b ) @ A_1 ) @ ( hAPP @ ( fun @ X_b @ bool ) @ ( fun @ X_a @ ( fun @ X_b @ bool ) ) @ ( combk @ ( fun @ X_b @ bool ) @ X_a ) @ B ) ) ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ X_a @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( member @ X_a ) @ X_2 ) @ A_1 ) )
=> ( hBOOL @ ( hAPP @ ( fun @ X_b @ bool ) @ bool @ ( hAPP @ X_b @ ( fun @ ( fun @ X_b @ bool ) @ bool ) @ ( member @ X_b ) @ ( hAPP @ X_a @ X_b @ F @ X_2 ) ) @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(208,plain,
( ( arrow_1834574746e_Prof
= ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) ) @ ( pi @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( top_top @ ( fun @ arrow_1384031255e_indi @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( combk @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ arrow_1384031255e_indi ) @ arrow_638930832le_Lin ) ) )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(209,plain,
( ( ! [X_a: $i,X_b: $i,X_2: $i,F: $i,A_1: $i,B: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ X_a @ X_b ) @ bool ) @ bool @ ( hAPP @ ( fun @ X_a @ X_b ) @ ( fun @ ( fun @ ( fun @ X_a @ X_b ) @ bool ) @ bool ) @ ( member @ ( fun @ X_a @ X_b ) ) @ F ) @ ( hAPP @ ( fun @ X_a @ ( fun @ X_b @ bool ) ) @ ( fun @ ( fun @ X_a @ X_b ) @ bool ) @ ( hAPP @ ( fun @ X_a @ bool ) @ ( fun @ ( fun @ X_a @ ( fun @ X_b @ bool ) ) @ ( fun @ ( fun @ X_a @ X_b ) @ bool ) ) @ ( pi @ X_a @ X_b ) @ A_1 ) @ B ) ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ X_a @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( member @ X_a ) @ X_2 ) @ A_1 ) )
=> ( hBOOL @ ( hAPP @ ( fun @ X_b @ bool ) @ bool @ ( hAPP @ X_b @ ( fun @ ( fun @ X_b @ bool ) @ bool ) @ ( member @ X_b ) @ ( hAPP @ X_a @ X_b @ F @ X_2 ) ) @ ( hAPP @ X_a @ ( fun @ X_b @ bool ) @ B @ X_2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(210,plain,
( ( ! [Na: $i] : ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combc @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( ord_less @ nat ) ) @ h ) ) @ Na ) ) ) @ lab ) ) @ lba ) ) @ arrow_1834574746e_Prof ) ) )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(211,plain,
( ( ! [Aa: $i,Ba: $i] :
( ( ( ti @ arrow_1212486748le_alt @ Aa )
!= ( ti @ arrow_1212486748le_alt @ Ba ) )
=> ? [X_1: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ X_1 ) @ arrow_638930832le_Lin ) )
& ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ Aa ) @ Ba ) ) @ X_1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(212,plain,
( ( ! [X_a: $i,X_b: $i,X_2: $i,F: $i,A_1: $i,B: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ X_a @ X_b ) @ bool ) @ bool @ ( hAPP @ ( fun @ X_a @ X_b ) @ ( fun @ ( fun @ ( fun @ X_a @ X_b ) @ bool ) @ bool ) @ ( member @ ( fun @ X_a @ X_b ) ) @ F ) @ ( hAPP @ ( fun @ X_a @ ( fun @ X_b @ bool ) ) @ ( fun @ ( fun @ X_a @ X_b ) @ bool ) @ ( hAPP @ ( fun @ X_a @ bool ) @ ( fun @ ( fun @ X_a @ ( fun @ X_b @ bool ) ) @ ( fun @ ( fun @ X_a @ X_b ) @ bool ) ) @ ( pi @ X_a @ X_b ) @ A_1 ) @ B ) ) )
=> ( ~ ( hBOOL @ ( hAPP @ ( fun @ X_b @ bool ) @ bool @ ( hAPP @ X_b @ ( fun @ ( fun @ X_b @ bool ) @ bool ) @ ( member @ X_b ) @ ( hAPP @ X_a @ X_b @ F @ X_2 ) ) @ ( hAPP @ X_a @ ( fun @ X_b @ bool ) @ B @ X_2 ) ) )
=> ~ ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ X_a @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( member @ X_a ) @ X_2 ) @ A_1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[41]) ).
thf(213,plain,
( ( ! [I_1: $i,Fa: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ Fa ) @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) ) @ ( pi @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1834574746e_Prof ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( combk @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_638930832le_Lin ) ) ) )
=> ( ! [X_1: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ X_1 ) @ arrow_1834574746e_Prof ) )
=> ! [A_2: $i,B_1: $i] :
( ( ( ti @ arrow_1212486748le_alt @ A_2 )
!= ( ti @ arrow_1212486748le_alt @ B_1 ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ A_2 ) @ B_1 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ X_1 @ I_1 ) ) )
=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ A_2 ) @ B_1 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ Fa @ X_1 ) ) ) ) ) )
=> ( hBOOL @ ( hAPP @ arrow_1384031255e_indi @ bool @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ bool ) @ arrow_1990387629ctator @ Fa ) @ I_1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[42]) ).
thf(214,plain,
( ( ! [X_2: $i,Y_1: $i,L: $i,Aa: $i,Ba: $i] :
( ( ( ti @ arrow_1212486748le_alt @ Aa )
!= ( ti @ arrow_1212486748le_alt @ Ba ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ L ) @ arrow_638930832le_Lin ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ X_2 ) @ Y_1 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ L ) @ Aa ) @ Ba ) ) )
<=> ( ( ( ti @ arrow_1212486748le_alt @ X_2 )
!= ( ti @ arrow_1212486748le_alt @ Y_1 ) )
& ( ( ( ti @ arrow_1212486748le_alt @ X_2 )
= ( ti @ arrow_1212486748le_alt @ Ba ) )
=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ Aa ) @ Y_1 ) ) @ L ) ) )
& ( ( ( ti @ arrow_1212486748le_alt @ X_2 )
!= ( ti @ arrow_1212486748le_alt @ Ba ) )
=> ( ( ( ( ti @ arrow_1212486748le_alt @ Y_1 )
= ( ti @ arrow_1212486748le_alt @ Ba ) )
=> ( ( ( ti @ arrow_1212486748le_alt @ X_2 )
= ( ti @ arrow_1212486748le_alt @ Aa ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ X_2 ) @ Aa ) ) @ L ) ) ) )
& ( ( ( ti @ arrow_1212486748le_alt @ Y_1 )
!= ( ti @ arrow_1212486748le_alt @ Ba ) )
=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ X_2 ) @ Y_1 ) ) @ L ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[43]) ).
thf(215,plain,
( ( ! [L: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ L ) @ arrow_638930832le_Lin ) )
=> ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( combk @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ arrow_1384031255e_indi ) @ L ) ) @ arrow_1834574746e_Prof ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[44]) ).
thf(216,plain,
( ( ! [L: $i,X_2: $i,Y_1: $i] :
( ( ( ti @ arrow_1212486748le_alt @ X_2 )
!= ( ti @ arrow_1212486748le_alt @ Y_1 ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ L ) @ arrow_638930832le_Lin ) )
=> ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ L ) @ X_2 ) @ Y_1 ) ) @ arrow_638930832le_Lin ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[45]) ).
thf(217,plain,
( ( ! [X_2: $i,L: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ L ) @ arrow_638930832le_Lin ) )
=> ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ L ) @ X_2 ) ) @ arrow_638930832le_Lin ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[46]) ).
thf(218,plain,
( ( ! [X_2: $i,L: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ L ) @ arrow_638930832le_Lin ) )
=> ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ L ) @ X_2 ) ) @ arrow_638930832le_Lin ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[47]) ).
thf(219,plain,
( ( ! [X_a: $i,Pa: $i] :
( ( hAPP @ ( fun @ X_a @ bool ) @ ( fun @ X_a @ bool ) @ ( collect @ X_a ) @ Pa )
= ( ti @ ( fun @ X_a @ bool ) @ Pa ) ) )
= $true ),
inference(unfold_def,[status(thm)],[48]) ).
thf(220,plain,
( ( ! [X_a: $i,X_2: $i,A_1: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ X_a @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( member @ X_a ) @ X_2 ) @ A_1 ) )
<=> ( hBOOL @ ( hAPP @ X_a @ bool @ A_1 @ X_2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[49]) ).
thf(221,plain,
( ( ! [X_a: $i,X_b: $i,F: $i,G: $i] :
( ! [X_1: $i] :
( ( hAPP @ X_a @ X_b @ F @ X_1 )
= ( hAPP @ X_a @ X_b @ G @ X_1 ) )
=> ( ( ti @ ( fun @ X_a @ X_b ) @ F )
= ( ti @ ( fun @ X_a @ X_b ) @ G ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[50]) ).
thf(222,plain,
( ( ! [X_2: $i,Y_1: $i,L: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ L ) @ arrow_638930832le_Lin ) )
=> ( ( ( ti @ arrow_1212486748le_alt @ X_2 )
!= ( ti @ arrow_1212486748le_alt @ Y_1 ) )
=> ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ X_2 ) @ Y_1 ) ) @ L ) )
<=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ Y_1 ) @ X_2 ) ) @ L ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[51]) ).
thf(223,plain,
( ( ! [Aa: $i,Ba: $i,L: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ L ) @ arrow_638930832le_Lin ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ Aa ) @ Ba ) ) @ L ) )
=> ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ Ba ) @ Aa ) ) @ L ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[52]) ).
thf(224,plain,
( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ lab ) @ arrow_638930832le_Lin ) )
= $true ),
inference(unfold_def,[status(thm)],[53]) ).
thf(225,plain,
( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ lba ) @ arrow_638930832le_Lin ) )
= $true ),
inference(unfold_def,[status(thm)],[54]) ).
thf(226,plain,
( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ f ) @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) ) @ ( pi @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1834574746e_Prof ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( combk @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_638930832le_Lin ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[55]) ).
thf(227,plain,
( ( ! [X_a: $i,X_b: $i,F: $i] :
( ! [X_1: $i,Y_2: $i] :
( ( ( hAPP @ X_a @ X_b @ F @ X_1 )
= ( hAPP @ X_a @ X_b @ F @ Y_2 ) )
=> ( ( ti @ X_a @ X_1 )
= ( ti @ X_a @ Y_2 ) ) )
=> ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ ( fun @ X_a @ X_b ) @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( inj_on @ X_a @ X_b ) @ F ) @ ( top_top @ ( fun @ X_a @ bool ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[56]) ).
thf(228,plain,
( ( ! [X_a: $i,X_b: $i,G: $i,F: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ ( fun @ X_a @ X_b ) @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( inj_on @ X_a @ X_b ) @ F ) @ ( top_top @ ( fun @ X_a @ bool ) ) ) )
=> ( ! [X_1: $i] :
( ( hAPP @ X_a @ X_b @ F @ ( hAPP @ X_b @ X_a @ G @ X_1 ) )
= ( ti @ X_b @ X_1 ) )
=> ( ( hAPP @ ( fun @ X_a @ X_b ) @ ( fun @ X_b @ X_a ) @ ( hAPP @ ( fun @ X_a @ bool ) @ ( fun @ ( fun @ X_a @ X_b ) @ ( fun @ X_b @ X_a ) ) @ ( hilbert_inv_into @ X_a @ X_b ) @ ( top_top @ ( fun @ X_a @ bool ) ) ) @ F )
= ( ti @ ( fun @ X_b @ X_a ) @ G ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[57]) ).
thf(229,plain,
( ( ! [X_a: $i,X_b: $i,X_2: $i,Y_1: $i,F: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ ( fun @ X_a @ X_b ) @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( inj_on @ X_a @ X_b ) @ F ) @ ( top_top @ ( fun @ X_a @ bool ) ) ) )
=> ( ( ( hAPP @ X_a @ X_b @ F @ X_2 )
= ( hAPP @ X_a @ X_b @ F @ Y_1 ) )
=> ( ( ti @ X_a @ X_2 )
= ( ti @ X_a @ Y_1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[58]) ).
thf(230,plain,
( ( ! [X_a: $i,A_1: $i] : ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ ( fun @ X_a @ X_a ) @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( inj_on @ X_a @ X_a ) @ ( combi @ X_a ) ) @ A_1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[59]) ).
thf(231,plain,
( ( ! [X_a: $i,X_b: $i,X_2: $i,Y_1: $i,F: $i,A_1: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ ( fun @ X_a @ X_b ) @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( inj_on @ X_a @ X_b ) @ F ) @ A_1 ) )
=> ( ( ( hAPP @ X_a @ X_b @ F @ X_2 )
= ( hAPP @ X_a @ X_b @ F @ Y_1 ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ X_a @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( member @ X_a ) @ X_2 ) @ A_1 ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ X_a @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( member @ X_a ) @ Y_1 ) @ A_1 ) )
=> ( ( ti @ X_a @ X_2 )
= ( ti @ X_a @ Y_1 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[60]) ).
thf(232,plain,
( ( ! [X_a: $i,X_b: $i,Y_1: $i,X_2: $i,F: $i,A_1: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ ( fun @ X_a @ X_b ) @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( inj_on @ X_a @ X_b ) @ F ) @ A_1 ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ X_a @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( member @ X_a ) @ X_2 ) @ A_1 ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ X_a @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( member @ X_a ) @ Y_1 ) @ A_1 ) )
=> ( ( ( hAPP @ X_a @ X_b @ F @ X_2 )
= ( hAPP @ X_a @ X_b @ F @ Y_1 ) )
<=> ( ( ti @ X_a @ X_2 )
= ( ti @ X_a @ Y_1 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[61]) ).
thf(233,plain,
( ( ! [X_a: $i,X_b: $i,X_2: $i,Y_1: $i,F: $i,A_1: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ ( fun @ X_a @ X_b ) @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( inj_on @ X_a @ X_b ) @ F ) @ A_1 ) )
=> ( ( ( ti @ X_a @ X_2 )
!= ( ti @ X_a @ Y_1 ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ X_a @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( member @ X_a ) @ X_2 ) @ A_1 ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ X_a @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( member @ X_a ) @ Y_1 ) @ A_1 ) )
=> ( ( hAPP @ X_a @ X_b @ F @ X_2 )
!= ( hAPP @ X_a @ X_b @ F @ Y_1 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[62]) ).
thf(234,plain,
( ( ! [X_a: $i,X_b: $i,F: $i,A_1: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ ( fun @ X_a @ X_b ) @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( inj_on @ X_a @ X_b ) @ F ) @ A_1 ) )
<=> ! [X_1: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ X_a @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( member @ X_a ) @ X_1 ) @ A_1 ) )
=> ! [Xa: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ X_a @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( member @ X_a ) @ Xa ) @ A_1 ) )
=> ( ( ( hAPP @ X_a @ X_b @ F @ X_1 )
= ( hAPP @ X_a @ X_b @ F @ Xa ) )
=> ( ( ti @ X_a @ X_1 )
= ( ti @ X_a @ Xa ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[63]) ).
thf(235,plain,
( ( ! [X_a: $i,X_b: $i,X_2: $i,Y_1: $i,F: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ ( fun @ X_a @ X_b ) @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( inj_on @ X_a @ X_b ) @ F ) @ ( top_top @ ( fun @ X_a @ bool ) ) ) )
=> ( ( ( hAPP @ X_a @ X_b @ F @ X_2 )
= ( hAPP @ X_a @ X_b @ F @ Y_1 ) )
<=> ( ( ti @ X_a @ X_2 )
= ( ti @ X_a @ Y_1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[64]) ).
thf(236,plain,
( ( ! [X_a: $i,X_b: $i,Y_1: $i,X_2: $i,F: $i,A_1: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ ( fun @ X_a @ X_b ) @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( inj_on @ X_a @ X_b ) @ F ) @ A_1 ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ X_a @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( member @ X_a ) @ X_2 ) @ A_1 ) )
=> ( ( ( hAPP @ X_a @ X_b @ F @ X_2 )
= ( ti @ X_b @ Y_1 ) )
=> ( ( hAPP @ X_b @ X_a @ ( hAPP @ ( fun @ X_a @ X_b ) @ ( fun @ X_b @ X_a ) @ ( hAPP @ ( fun @ X_a @ bool ) @ ( fun @ ( fun @ X_a @ X_b ) @ ( fun @ X_b @ X_a ) ) @ ( hilbert_inv_into @ X_a @ X_b ) @ A_1 ) @ F ) @ Y_1 )
= ( ti @ X_a @ X_2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[65]) ).
thf(237,plain,
( ( ! [X_a: $i,X_b: $i,X_2: $i,F: $i,A_1: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ ( fun @ X_a @ X_b ) @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( inj_on @ X_a @ X_b ) @ F ) @ A_1 ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ X_a @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( member @ X_a ) @ X_2 ) @ A_1 ) )
=> ( ( hAPP @ X_b @ X_a @ ( hAPP @ ( fun @ X_a @ X_b ) @ ( fun @ X_b @ X_a ) @ ( hAPP @ ( fun @ X_a @ bool ) @ ( fun @ ( fun @ X_a @ X_b ) @ ( fun @ X_b @ X_a ) ) @ ( hilbert_inv_into @ X_a @ X_b ) @ A_1 ) @ F ) @ ( hAPP @ X_a @ X_b @ F @ X_2 ) )
= ( ti @ X_a @ X_2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[66]) ).
thf(238,plain,
( ( ! [X_c: $i,X_a: $i,X_b: $i,F: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ ( fun @ X_a @ X_b ) @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( inj_on @ X_a @ X_b ) @ F ) @ ( top_top @ ( fun @ X_a @ bool ) ) ) )
=> ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ ( fun @ X_a @ ( fun @ X_c @ X_b ) ) @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( inj_on @ X_a @ ( fun @ X_c @ X_b ) ) @ ( hAPP @ ( fun @ X_a @ X_b ) @ ( fun @ X_a @ ( fun @ X_c @ X_b ) ) @ ( hAPP @ ( fun @ X_b @ ( fun @ X_c @ X_b ) ) @ ( fun @ ( fun @ X_a @ X_b ) @ ( fun @ X_a @ ( fun @ X_c @ X_b ) ) ) @ ( combb @ X_b @ ( fun @ X_c @ X_b ) @ X_a ) @ ( combk @ X_b @ X_c ) ) @ F ) ) @ ( top_top @ ( fun @ X_a @ bool ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[67]) ).
thf(239,plain,
( ( ! [X_a: $i,X_b: $i,X_2: $i,F: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ ( fun @ X_a @ X_b ) @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( inj_on @ X_a @ X_b ) @ F ) @ ( top_top @ ( fun @ X_a @ bool ) ) ) )
=> ( ( hAPP @ X_b @ X_a @ ( hAPP @ ( fun @ X_a @ X_b ) @ ( fun @ X_b @ X_a ) @ ( hAPP @ ( fun @ X_a @ bool ) @ ( fun @ ( fun @ X_a @ X_b ) @ ( fun @ X_b @ X_a ) ) @ ( hilbert_inv_into @ X_a @ X_b ) @ ( top_top @ ( fun @ X_a @ bool ) ) ) @ F ) @ ( hAPP @ X_a @ X_b @ F @ X_2 ) )
= ( ti @ X_a @ X_2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[68]) ).
thf(240,plain,
( ( ! [X_a: $i,X_b: $i,X_2: $i,Y_1: $i,F: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ ( fun @ X_a @ X_b ) @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( inj_on @ X_a @ X_b ) @ F ) @ ( top_top @ ( fun @ X_a @ bool ) ) ) )
=> ( ( ( hAPP @ X_a @ X_b @ F @ X_2 )
= ( ti @ X_b @ Y_1 ) )
=> ( ( hAPP @ X_b @ X_a @ ( hAPP @ ( fun @ X_a @ X_b ) @ ( fun @ X_b @ X_a ) @ ( hAPP @ ( fun @ X_a @ bool ) @ ( fun @ ( fun @ X_a @ X_b ) @ ( fun @ X_b @ X_a ) ) @ ( hilbert_inv_into @ X_a @ X_b ) @ ( top_top @ ( fun @ X_a @ bool ) ) ) @ F ) @ Y_1 )
= ( ti @ X_a @ X_2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[69]) ).
thf(241,plain,
( ( ! [X_a: $i] :
( ( top @ X_a )
=> ! [Aa: $i] :
( ( ( ti @ X_a @ Aa )
!= ( top_top @ X_a ) )
<=> ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ Aa ) @ ( top_top @ X_a ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[70]) ).
thf(242,plain,
( ( ! [X_a: $i,X_b: $i,S: $i,R_1: $i] :
( ! [X_1: $i,Xa: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ X_a @ X_b ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ X_a @ X_b ) @ ( fun @ ( fun @ ( product_prod @ X_a @ X_b ) @ bool ) @ bool ) @ ( member @ ( product_prod @ X_a @ X_b ) ) @ ( hAPP @ X_b @ ( product_prod @ X_a @ X_b ) @ ( hAPP @ X_a @ ( fun @ X_b @ ( product_prod @ X_a @ X_b ) ) @ ( product_Pair @ X_a @ X_b ) @ X_1 ) @ Xa ) ) @ R_1 ) )
<=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ X_a @ X_b ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ X_a @ X_b ) @ ( fun @ ( fun @ ( product_prod @ X_a @ X_b ) @ bool ) @ bool ) @ ( member @ ( product_prod @ X_a @ X_b ) ) @ ( hAPP @ X_b @ ( product_prod @ X_a @ X_b ) @ ( hAPP @ X_a @ ( fun @ X_b @ ( product_prod @ X_a @ X_b ) ) @ ( product_Pair @ X_a @ X_b ) @ X_1 ) @ Xa ) ) @ S ) ) )
<=> ( ( ti @ ( fun @ ( product_prod @ X_a @ X_b ) @ bool ) @ R_1 )
= ( ti @ ( fun @ ( product_prod @ X_a @ X_b ) @ bool ) @ S ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[71]) ).
thf(243,plain,
( ( ! [X_a: $i] :
( ( top_top @ ( fun @ X_a @ bool ) )
= ( hAPP @ ( fun @ X_a @ bool ) @ ( fun @ X_a @ bool ) @ ( collect @ X_a ) @ ( hAPP @ bool @ ( fun @ X_a @ bool ) @ ( combk @ bool @ X_a ) @ fTrue ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[72]) ).
thf(244,plain,
( ( ! [X_a: $i] :
( ( preorder @ X_a )
=> ! [X: $i] :
~ ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ X ) @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[73]) ).
thf(245,plain,
( ( ! [X_a: $i] :
( ( linorder @ X_a )
=> ! [X_2: $i,Y_1: $i] :
( ( ( ti @ X_a @ X_2 )
!= ( ti @ X_a @ Y_1 ) )
<=> ( ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ X_2 ) @ Y_1 ) )
| ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ Y_1 ) @ X_2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[74]) ).
thf(246,plain,
( ( ! [X_a: $i] :
( ( linorder @ X_a )
=> ! [X_2: $i,Y_1: $i] :
( ~ ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ X_2 ) @ Y_1 ) )
<=> ( ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ Y_1 ) @ X_2 ) )
| ( ( ti @ X_a @ X_2 )
= ( ti @ X_a @ Y_1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[75]) ).
thf(247,plain,
( ( ! [X_a: $i] :
( ( linorder @ X_a )
=> ! [X: $i,Y: $i] :
( ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ X ) @ Y ) )
| ( ( ti @ X_a @ X )
= ( ti @ X_a @ Y ) )
| ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ Y ) @ X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[76]) ).
thf(248,plain,
( ( ! [X_a: $i] :
( ( linorder @ X_a )
=> ! [Y_1: $i,X_2: $i] :
( ~ ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ Y_1 ) @ X_2 ) )
=> ( ~ ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ X_2 ) @ Y_1 ) )
<=> ( ( ti @ X_a @ X_2 )
= ( ti @ X_a @ Y_1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[77]) ).
thf(249,plain,
( ( ! [X_a: $i] :
( ( linorder @ X_a )
=> ! [X: $i,Y: $i] :
( ( ( ti @ X_a @ X )
!= ( ti @ X_a @ Y ) )
=> ( ~ ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ X ) @ Y ) )
=> ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ Y ) @ X ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[78]) ).
thf(250,plain,
( ( ! [X_a: $i] :
( ( order @ X_a )
=> ! [X: $i,Y: $i] :
( ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ X ) @ Y ) )
=> ( X != Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[79]) ).
thf(251,plain,
( ( ! [X_a: $i] :
( ( preorder @ X_a )
=> ! [X: $i,Y: $i] :
( ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ X ) @ Y ) )
=> ~ ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ Y ) @ X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[80]) ).
thf(252,plain,
( ( ! [X_a: $i] :
( ( preorder @ X_a )
=> ! [X: $i,Y: $i] :
( ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ X ) @ Y ) )
=> ~ ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ Y ) @ X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[81]) ).
thf(253,plain,
( ( ! [X_a: $i] :
( ( order @ X_a )
=> ! [X: $i,Y: $i] :
( ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ X ) @ Y ) )
=> ( X != Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[82]) ).
thf(254,plain,
( ( ! [X_a: $i] :
( ( order @ X_a )
=> ! [X: $i,Y: $i] :
( ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ X ) @ Y ) )
=> ( Y != X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[83]) ).
thf(255,plain,
( ( ! [X_a: $i] :
( ( preorder @ X_a )
=> ! [Pa: $i,X_2: $i,Y_1: $i] :
( ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ X_2 ) @ Y_1 ) )
=> ( ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ Y_1 ) @ X_2 ) )
=> ( hBOOL @ Pa ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[84]) ).
thf(256,plain,
( ( ! [X_a: $i] :
( ( preorder @ X_a )
=> ! [A_3: $i,B_2: $i] :
( ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ A_3 ) @ B_2 ) )
=> ~ ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ B_2 ) @ A_3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[85]) ).
thf(257,plain,
( ( ! [X_a: $i] :
( ( order @ X_a )
=> ! [B_2: $i,A_3: $i] :
( ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ B_2 ) @ A_3 ) )
=> ~ ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ A_3 ) @ B_2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[86]) ).
thf(258,plain,
( ( ! [X_a: $i] :
( ( ord @ X_a )
=> ! [C: $i,A_3: $i,B_2: $i] :
( ( A_3 = B_2 )
=> ( ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ B_2 ) @ C ) )
=> ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ A_3 ) @ C ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[87]) ).
thf(259,plain,
( ( ! [X_a: $i] :
( ( order @ X_a )
=> ! [C: $i,A_3: $i,B_2: $i] :
( ( A_3 = B_2 )
=> ( ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ C ) @ B_2 ) )
=> ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ C ) @ A_3 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[88]) ).
thf(260,plain,
( ( ! [X_a: $i] :
( ( ord @ X_a )
=> ! [C: $i,A_3: $i,B_2: $i] :
( ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ A_3 ) @ B_2 ) )
=> ( ( B_2 = C )
=> ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ A_3 ) @ C ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[89]) ).
thf(261,plain,
( ( ! [X_a: $i] :
( ( order @ X_a )
=> ! [C: $i,B_2: $i,A_3: $i] :
( ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ B_2 ) @ A_3 ) )
=> ( ( B_2 = C )
=> ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ C ) @ A_3 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[90]) ).
thf(262,plain,
( ( ! [X_a: $i] :
( ( preorder @ X_a )
=> ! [Z: $i,X: $i,Y: $i] :
( ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ X ) @ Y ) )
=> ( ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ Y ) @ Z ) )
=> ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ X ) @ Z ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[91]) ).
thf(263,plain,
( ( ! [X_a: $i] :
( ( order @ X_a )
=> ! [Z: $i,Y: $i,X: $i] :
( ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ Y ) @ X ) )
=> ( ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ Z ) @ Y ) )
=> ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ Z ) @ X ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[92]) ).
thf(264,plain,
( ( ! [X_a: $i] :
( ( preorder @ X_a )
=> ! [X: $i,Y: $i] :
( ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ X ) @ Y ) )
=> ~ ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ Y ) @ X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[93]) ).
thf(265,plain,
( ( ! [X_a: $i] :
( ( linorder @ X_a )
=> ! [X: $i,Y: $i] :
( ~ ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ X ) @ Y ) )
=> ( ( ( ti @ X_a @ X )
!= ( ti @ X_a @ Y ) )
=> ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ Y ) @ X ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[94]) ).
thf(266,plain,
( ( ! [X_a: $i] :
( ( top @ X_a )
=> ! [A_3: $i] :
~ ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ ( top_top @ X_a ) ) @ A_3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[95]) ).
thf(267,plain,
( ( ! [X_b: $i,X_a: $i] :
( ( top @ X_a )
=> ! [X_2: $i] :
( ( hAPP @ X_b @ X_a @ ( top_top @ ( fun @ X_b @ X_a ) ) @ X_2 )
= ( top_top @ X_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[96]) ).
thf(268,plain,
( ( ! [X_b: $i,X_c: $i,X_a: $i,F1: $i,Aa: $i,Ba: $i] :
( ( hAPP @ ( product_prod @ X_b @ X_c ) @ X_a @ ( hAPP @ ( fun @ X_b @ ( fun @ X_c @ X_a ) ) @ ( fun @ ( product_prod @ X_b @ X_c ) @ X_a ) @ ( product_prod_rec @ X_b @ X_c @ X_a ) @ F1 ) @ ( hAPP @ X_c @ ( product_prod @ X_b @ X_c ) @ ( hAPP @ X_b @ ( fun @ X_c @ ( product_prod @ X_b @ X_c ) ) @ ( product_Pair @ X_b @ X_c ) @ Aa ) @ Ba ) )
= ( hAPP @ X_c @ X_a @ ( hAPP @ X_b @ ( fun @ X_c @ X_a ) @ F1 @ Aa ) @ Ba ) ) )
= $true ),
inference(unfold_def,[status(thm)],[97]) ).
thf(269,plain,
( ( ! [X_a: $i,X_2: $i] : ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ X_a @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( member @ X_a ) @ X_2 ) @ ( top_top @ ( fun @ X_a @ bool ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[98]) ).
thf(270,plain,
( ( ! [X_a: $i,X_2: $i] : ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ X_a @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( member @ X_a ) @ X_2 ) @ ( top_top @ ( fun @ X_a @ bool ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[99]) ).
thf(271,plain,
( ( ! [X_a: $i,X_2: $i] : ( hBOOL @ ( hAPP @ X_a @ bool @ ( top_top @ ( fun @ X_a @ bool ) ) @ X_2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[100]) ).
thf(272,plain,
( ( ! [Fa: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_1932713123nimity @ Fa ) )
<=> ! [X_1: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ X_1 ) @ arrow_1834574746e_Prof ) )
=> ! [A_2: $i,B_1: $i] :
( ! [I: $i] : ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ A_2 ) @ B_1 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ X_1 @ I ) ) )
=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ A_2 ) @ B_1 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ Fa @ X_1 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[101]) ).
thf(273,plain,
( ( ! [Fa: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ Fa ) )
<=> ! [X_1: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ X_1 ) @ arrow_1834574746e_Prof ) )
=> ! [Xa: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ Xa ) @ arrow_1834574746e_Prof ) )
=> ! [A_2: $i,B_1: $i] :
( ! [I: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ A_2 ) @ B_1 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ X_1 @ I ) ) )
<=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ A_2 ) @ B_1 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ Xa @ I ) ) ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ A_2 ) @ B_1 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ Fa @ X_1 ) ) )
<=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ A_2 ) @ B_1 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ Fa @ Xa ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[102]) ).
thf(274,plain,
( ( ! [X_b: $i,X_a: $i,Aa: $i,Ba: $i,A_4: $i,B_3: $i] :
( ( ( hAPP @ X_b @ ( product_prod @ X_a @ X_b ) @ ( hAPP @ X_a @ ( fun @ X_b @ ( product_prod @ X_a @ X_b ) ) @ ( product_Pair @ X_a @ X_b ) @ Aa ) @ Ba )
= ( hAPP @ X_b @ ( product_prod @ X_a @ X_b ) @ ( hAPP @ X_a @ ( fun @ X_b @ ( product_prod @ X_a @ X_b ) ) @ ( product_Pair @ X_a @ X_b ) @ A_4 ) @ B_3 ) )
<=> ( ( ( ti @ X_a @ Aa )
= ( ti @ X_a @ A_4 ) )
& ( ( ti @ X_b @ Ba )
= ( ti @ X_b @ B_3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[103]) ).
thf(275,plain,
( ( ! [X_b: $i,X_a: $i,A_3: $i,B_2: $i,A_5: $i,B_4: $i] :
( ( ( hAPP @ X_b @ ( product_prod @ X_a @ X_b ) @ ( hAPP @ X_a @ ( fun @ X_b @ ( product_prod @ X_a @ X_b ) ) @ ( product_Pair @ X_a @ X_b ) @ A_3 ) @ B_2 )
= ( hAPP @ X_b @ ( product_prod @ X_a @ X_b ) @ ( hAPP @ X_a @ ( fun @ X_b @ ( product_prod @ X_a @ X_b ) ) @ ( product_Pair @ X_a @ X_b ) @ A_5 ) @ B_4 ) )
=> ~ ( ( ( ti @ X_a @ A_3 )
= ( ti @ X_a @ A_5 ) )
=> ( ( ti @ X_b @ B_2 )
!= ( ti @ X_b @ B_4 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[104]) ).
thf(276,plain,
( ( hBOOL @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ bool ) @ ( inj_on @ arrow_1384031255e_indi @ nat ) @ h ) @ ( top_top @ ( fun @ arrow_1384031255e_indi @ bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[105]) ).
thf(277,plain,
( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ n ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ nat @ ( finite_card @ arrow_1384031255e_indi ) @ ( top_top @ ( fun @ arrow_1384031255e_indi @ bool ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[106]) ).
thf(278,plain,
( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( ord_less @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_992993526_mktop ) @ p ) ) @ e ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( fequal @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ arrow_1726925404_above ) @ p ) ) @ c ) ) @ e ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_844286440_mkbot ) @ p ) ) @ e ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[107]) ).
thf(279,plain,
( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ e ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( ord_less @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_992993526_mktop ) @ p ) ) @ e ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( fequal @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ arrow_1726925404_above ) @ p ) ) @ c ) ) @ e ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_844286440_mkbot ) @ p ) ) @ e ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[108]) ).
thf(280,plain,
( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( ord_less @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_992993526_mktop ) @ p ) ) @ e ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( fequal @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ arrow_1726925404_above ) @ p ) ) @ c ) ) @ e ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_844286440_mkbot ) @ p ) ) @ e ) ) ) ) @ arrow_1834574746e_Prof ) )
= $true ),
inference(unfold_def,[status(thm)],[109]) ).
thf(281,plain,
( ( ! [X_a: $i,X_b: $i,Pa: $i] :
( ! [X1: $i] : ( hBOOL @ ( hAPP @ ( product_prod @ X_a @ X_b ) @ bool @ Pa @ X1 ) )
<=> ! [A_2: $i,B_1: $i] : ( hBOOL @ ( hAPP @ ( product_prod @ X_a @ X_b ) @ bool @ Pa @ ( hAPP @ X_b @ ( product_prod @ X_a @ X_b ) @ ( hAPP @ X_a @ ( fun @ X_b @ ( product_prod @ X_a @ X_b ) ) @ ( product_Pair @ X_a @ X_b ) @ A_2 ) @ B_1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[110]) ).
thf(282,plain,
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ p ) ) )
<=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( ord_less @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_992993526_mktop ) @ p ) ) @ e ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( fequal @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ arrow_1726925404_above ) @ p ) ) @ c ) ) @ e ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_844286440_mkbot ) @ p ) ) @ e ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[111]) ).
thf(283,plain,
( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( ord_less @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_992993526_mktop ) @ p ) ) @ e ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( fequal @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ arrow_1726925404_above ) @ p ) ) @ c ) ) @ e ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_844286440_mkbot ) @ p ) ) @ e ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[112]) ).
thf(284,plain,
( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ ( hAPP @ nat @ arrow_1384031255e_indi @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ nat @ arrow_1384031255e_indi ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ nat @ arrow_1384031255e_indi ) ) @ ( hilbert_inv_into @ arrow_1384031255e_indi @ nat ) @ ( top_top @ ( fun @ arrow_1384031255e_indi @ bool ) ) ) @ h ) @ n ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[113]) ).
thf(285,plain,
( ( ! [I: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ I ) ) )
<=> ( ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ I ) ) @ n ) )
=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ I ) ) @ e ) ) ) )
& ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ I ) ) @ n ) )
=> ( ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ I )
= n )
=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ I ) ) @ c ) @ e ) ) ) )
& ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ I )
!= n )
=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ I ) ) @ e ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[114]) ).
thf(286,plain,
( ( ! [P_1: $i,Pa: $i,Aa: $i,Ba: $i] :
( ( ( ti @ arrow_1212486748le_alt @ Aa )
!= ( ti @ arrow_1212486748le_alt @ Ba ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ Pa ) @ arrow_1834574746e_Prof ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ P_1 ) @ arrow_1834574746e_Prof ) )
=> ( ! [I: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ Aa ) @ Ba ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ Pa @ I ) ) )
<=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ Ba ) @ Aa ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ P_1 @ I ) ) ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ Aa ) @ Ba ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ Pa ) ) )
<=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ Ba ) @ Aa ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ P_1 ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[115]) ).
thf(287,plain,
( ( ! [P_1: $i,Pa: $i,A_4: $i,B_3: $i,Aa: $i,Ba: $i] :
( ( ( ti @ arrow_1212486748le_alt @ Aa )
!= ( ti @ arrow_1212486748le_alt @ Ba ) )
=> ( ( ( ti @ arrow_1212486748le_alt @ A_4 )
!= ( ti @ arrow_1212486748le_alt @ B_3 ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ Pa ) @ arrow_1834574746e_Prof ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ P_1 ) @ arrow_1834574746e_Prof ) )
=> ( ! [I: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ Aa ) @ Ba ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ Pa @ I ) ) )
<=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ A_4 ) @ B_3 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ P_1 @ I ) ) ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ Aa ) @ Ba ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ Pa ) ) )
<=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ A_4 ) @ B_3 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ P_1 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[116]) ).
thf(288,plain,
( ( ! [P_1: $i,Pa: $i,Ca: $i,Aa: $i,Ba: $i] :
( ( ( ti @ arrow_1212486748le_alt @ Aa )
!= ( ti @ arrow_1212486748le_alt @ Ba ) )
=> ( ( ( ti @ arrow_1212486748le_alt @ Ba )
!= ( ti @ arrow_1212486748le_alt @ Ca ) )
=> ( ( ( ti @ arrow_1212486748le_alt @ Aa )
!= ( ti @ arrow_1212486748le_alt @ Ca ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ Pa ) @ arrow_1834574746e_Prof ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ P_1 ) @ arrow_1834574746e_Prof ) )
=> ( ! [I: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ Aa ) @ Ba ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ Pa @ I ) ) )
<=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ Ba ) @ Ca ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ P_1 @ I ) ) ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ Aa ) @ Ba ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ Pa ) ) )
<=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ Ba ) @ Ca ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ P_1 ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[117]) ).
thf(289,plain,
( ( ! [P_1: $i,Pa: $i,A_4: $i,B_3: $i,Aa: $i,Ba: $i] :
( ( ( ti @ arrow_1212486748le_alt @ Aa )
!= ( ti @ arrow_1212486748le_alt @ Ba ) )
=> ( ( ( ti @ arrow_1212486748le_alt @ A_4 )
!= ( ti @ arrow_1212486748le_alt @ B_3 ) )
=> ( ( ( ti @ arrow_1212486748le_alt @ Aa )
!= ( ti @ arrow_1212486748le_alt @ B_3 ) )
=> ( ( ( ti @ arrow_1212486748le_alt @ Ba )
!= ( ti @ arrow_1212486748le_alt @ A_4 ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ Pa ) @ arrow_1834574746e_Prof ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ P_1 ) @ arrow_1834574746e_Prof ) )
=> ( ! [I: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ Aa ) @ Ba ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ Pa @ I ) ) )
<=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ A_4 ) @ B_3 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ P_1 @ I ) ) ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ Aa ) @ Ba ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ Pa ) ) )
=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ A_4 ) @ B_3 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ P_1 ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[118]) ).
thf(290,plain,
( ( ! [P_1: $i,Pa: $i,A_4: $i,B_3: $i,Aa: $i,Ba: $i] :
( ( ( ti @ arrow_1212486748le_alt @ Aa )
!= ( ti @ arrow_1212486748le_alt @ Ba ) )
=> ( ( ( ti @ arrow_1212486748le_alt @ A_4 )
!= ( ti @ arrow_1212486748le_alt @ B_3 ) )
=> ( ( ( ti @ arrow_1212486748le_alt @ Aa )
!= ( ti @ arrow_1212486748le_alt @ B_3 ) )
=> ( ( ( ti @ arrow_1212486748le_alt @ Ba )
!= ( ti @ arrow_1212486748le_alt @ A_4 ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ Pa ) @ arrow_1834574746e_Prof ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ P_1 ) @ arrow_1834574746e_Prof ) )
=> ( ! [I: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ Aa ) @ Ba ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ Pa @ I ) ) )
<=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ A_4 ) @ B_3 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ P_1 @ I ) ) ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ Aa ) @ Ba ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ Pa ) ) )
<=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ A_4 ) @ B_3 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ P_1 ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[119]) ).
thf(291,plain,
( ( ! [X_2: $i,Y_1: $i,L: $i,Z_1: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ X_2 ) @ Y_1 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ L ) @ Z_1 ) ) )
<=> ( ( ( ti @ arrow_1212486748le_alt @ X_2 )
!= ( ti @ arrow_1212486748le_alt @ Z_1 ) )
& ( ( ( ti @ arrow_1212486748le_alt @ Y_1 )
= ( ti @ arrow_1212486748le_alt @ Z_1 ) )
=> ( ( ti @ arrow_1212486748le_alt @ X_2 )
!= ( ti @ arrow_1212486748le_alt @ Y_1 ) ) )
& ( ( ( ti @ arrow_1212486748le_alt @ Y_1 )
!= ( ti @ arrow_1212486748le_alt @ Z_1 ) )
=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ X_2 ) @ Y_1 ) ) @ L ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[120]) ).
thf(292,plain,
( ( ! [X_2: $i,Y_1: $i,L: $i,Z_1: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ X_2 ) @ Y_1 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ L ) @ Z_1 ) ) )
<=> ( ( ( ti @ arrow_1212486748le_alt @ Y_1 )
!= ( ti @ arrow_1212486748le_alt @ Z_1 ) )
& ( ( ( ti @ arrow_1212486748le_alt @ X_2 )
= ( ti @ arrow_1212486748le_alt @ Z_1 ) )
=> ( ( ti @ arrow_1212486748le_alt @ X_2 )
!= ( ti @ arrow_1212486748le_alt @ Y_1 ) ) )
& ( ( ( ti @ arrow_1212486748le_alt @ X_2 )
!= ( ti @ arrow_1212486748le_alt @ Z_1 ) )
=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ X_2 ) @ Y_1 ) ) @ L ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[121]) ).
thf(293,plain,
( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ p ) @ arrow_1834574746e_Prof ) )
= $true ),
inference(unfold_def,[status(thm)],[122]) ).
thf(294,plain,
( ( c != d )
= $true ),
inference(unfold_def,[status(thm)],[123]) ).
thf(295,plain,
( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_1932713123nimity @ f ) )
= $true ),
inference(unfold_def,[status(thm)],[124]) ).
thf(296,plain,
( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ f ) )
= $true ),
inference(unfold_def,[status(thm)],[125]) ).
thf(297,plain,
( ( ( ti @ nat @ n )
= n )
= $true ),
inference(unfold_def,[status(thm)],[126]) ).
thf(298,plain,
( ( ( ti @ ( fun @ arrow_1384031255e_indi @ nat ) @ h )
= h )
= $true ),
inference(unfold_def,[status(thm)],[127]) ).
thf(299,plain,
( ( ( ti @ arrow_1212486748le_alt @ e )
= e )
= $true ),
inference(unfold_def,[status(thm)],[128]) ).
thf(300,plain,
( ( ( ti @ arrow_1212486748le_alt @ b )
= b )
= $true ),
inference(unfold_def,[status(thm)],[129]) ).
thf(301,plain,
( ( ( ti @ arrow_1212486748le_alt @ a )
= a )
= $true ),
inference(unfold_def,[status(thm)],[130]) ).
thf(302,plain,
( ( ( ti @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ lba )
= lba )
= $true ),
inference(unfold_def,[status(thm)],[131]) ).
thf(303,plain,
( ( ( ti @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ lab )
= lab )
= $true ),
inference(unfold_def,[status(thm)],[132]) ).
thf(304,plain,
( ( ! [X_a: $i] :
( ( ti @ ( fun @ X_a @ ( fun @ ( fun @ X_a @ bool ) @ bool ) ) @ ( member @ X_a ) )
= ( member @ X_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[133]) ).
thf(305,plain,
( ( ! [X_c: $i,X_a: $i,B_1_1: $i,B_2_1: $i] :
( ( ti @ X_c @ ( hAPP @ X_a @ X_c @ B_1_1 @ B_2_1 ) )
= ( hAPP @ X_a @ X_c @ B_1_1 @ B_2_1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[134]) ).
thf(306,plain,
( ( ! [X_a: $i,X_c: $i,B_1_1: $i,B_2_1: $i] :
( ( hAPP @ X_a @ X_c @ B_1_1 @ ( ti @ X_a @ B_2_1 ) )
= ( hAPP @ X_a @ X_c @ B_1_1 @ B_2_1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[135]) ).
thf(307,plain,
( ( ! [X_a: $i,X_c: $i,B_1_1: $i,B_2_1: $i] :
( ( hAPP @ X_a @ X_c @ ( ti @ ( fun @ X_a @ X_c ) @ B_1_1 ) @ B_2_1 )
= ( hAPP @ X_a @ X_c @ B_1_1 @ B_2_1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[136]) ).
thf(308,plain,
( ( ! [X_a: $i] :
( ( ti @ ( fun @ X_a @ ( fun @ X_a @ bool ) ) @ ( fequal @ X_a ) )
= ( fequal @ X_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[137]) ).
thf(309,plain,
( ( ( ti @ bool @ fTrue )
= fTrue )
= $true ),
inference(unfold_def,[status(thm)],[138]) ).
thf(310,plain,
( ( ( ti @ bool @ fFalse )
= fFalse )
= $true ),
inference(unfold_def,[status(thm)],[139]) ).
thf(311,plain,
( ( ! [X_a: $i] :
( ( ti @ ( fun @ ( fun @ X_a @ bool ) @ ( fun @ X_a @ bool ) ) @ ( collect @ X_a ) )
= ( collect @ X_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[140]) ).
thf(312,plain,
( ( ! [X_b: $i,X_c: $i,X_a: $i] :
( ( ti @ ( fun @ ( fun @ X_b @ ( fun @ X_c @ X_a ) ) @ ( fun @ ( product_prod @ X_b @ X_c ) @ X_a ) ) @ ( product_prod_rec @ X_b @ X_c @ X_a ) )
= ( product_prod_rec @ X_b @ X_c @ X_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[141]) ).
thf(313,plain,
( ( ! [X_a: $i,X_b: $i] :
( ( ti @ ( fun @ X_a @ ( fun @ X_b @ ( product_prod @ X_a @ X_b ) ) ) @ ( product_Pair @ X_a @ X_b ) )
= ( product_Pair @ X_a @ X_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[142]) ).
thf(314,plain,
( ( ! [X_a: $i] :
( ( top @ X_a )
=> ( ( ti @ X_a @ ( top_top @ X_a ) )
= ( top_top @ X_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[143]) ).
thf(315,plain,
( ( ! [X_a: $i] :
( ( ord @ X_a )
=> ( ( ti @ ( fun @ X_a @ ( fun @ X_a @ bool ) ) @ ( ord_less @ X_a ) )
= ( ord_less @ X_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[144]) ).
thf(316,plain,
( ( ! [X_a: $i] :
( ( ti @ ( fun @ bool @ ( fun @ X_a @ ( fun @ X_a @ X_a ) ) ) @ ( if @ X_a ) )
= ( if @ X_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[145]) ).
thf(317,plain,
( ( ! [X_a: $i,X_b: $i] :
( ( ti @ ( fun @ ( fun @ X_a @ bool ) @ ( fun @ ( fun @ X_a @ X_b ) @ ( fun @ X_b @ X_a ) ) ) @ ( hilbert_inv_into @ X_a @ X_b ) )
= ( hilbert_inv_into @ X_a @ X_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[146]) ).
thf(318,plain,
( ( ! [X_a: $i] :
( ( ti @ X_a @ ( undefined @ X_a ) )
= ( undefined @ X_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[147]) ).
thf(319,plain,
( ( ! [X_a: $i,X_b: $i] :
( ( ti @ ( fun @ ( fun @ X_a @ bool ) @ ( fun @ ( fun @ X_a @ ( fun @ X_b @ bool ) ) @ ( fun @ ( fun @ X_a @ X_b ) @ bool ) ) ) @ ( pi @ X_a @ X_b ) )
= ( pi @ X_a @ X_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[148]) ).
thf(320,plain,
( ( ! [X_a: $i,X_b: $i] :
( ( ti @ ( fun @ ( fun @ X_a @ X_b ) @ ( fun @ ( fun @ X_a @ bool ) @ bool ) ) @ ( inj_on @ X_a @ X_b ) )
= ( inj_on @ X_a @ X_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[149]) ).
thf(321,plain,
( ( ( ti @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ nat ) @ ( finite_card @ arrow_1384031255e_indi ) )
= ( finite_card @ arrow_1384031255e_indi ) )
= $true ),
inference(unfold_def,[status(thm)],[150]) ).
thf(322,plain,
( ( ! [X_a: $i,X_b: $i,X_c: $i] :
( ( ti @ ( fun @ ( fun @ X_a @ ( fun @ X_b @ X_c ) ) @ ( fun @ ( fun @ X_a @ X_b ) @ ( fun @ X_a @ X_c ) ) ) @ ( combs @ X_a @ X_b @ X_c ) )
= ( combs @ X_a @ X_b @ X_c ) ) )
= $true ),
inference(unfold_def,[status(thm)],[151]) ).
thf(323,plain,
( ( ! [X_a: $i,X_b: $i] :
( ( ti @ ( fun @ X_a @ ( fun @ X_b @ X_a ) ) @ ( combk @ X_a @ X_b ) )
= ( combk @ X_a @ X_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[152]) ).
thf(324,plain,
( ( ! [X_a: $i] :
( ( ti @ ( fun @ X_a @ X_a ) @ ( combi @ X_a ) )
= ( combi @ X_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[153]) ).
thf(325,plain,
( ( ! [X_a: $i,X_b: $i,X_c: $i] :
( ( ti @ ( fun @ ( fun @ X_a @ ( fun @ X_b @ X_c ) ) @ ( fun @ X_b @ ( fun @ X_a @ X_c ) ) ) @ ( combc @ X_a @ X_b @ X_c ) )
= ( combc @ X_a @ X_b @ X_c ) ) )
= $true ),
inference(unfold_def,[status(thm)],[154]) ).
thf(326,plain,
( ( ! [X_b: $i,X_c: $i,X_a: $i] :
( ( ti @ ( fun @ ( fun @ X_b @ X_c ) @ ( fun @ ( fun @ X_a @ X_b ) @ ( fun @ X_a @ X_c ) ) ) @ ( combb @ X_b @ X_c @ X_a ) )
= ( combb @ X_b @ X_c @ X_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[155]) ).
thf(327,plain,
( ( ( ti @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ arrow_1932713123nimity )
= arrow_1932713123nimity )
= $true ),
inference(unfold_def,[status(thm)],[156]) ).
thf(328,plain,
( ( ( ti @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_992993526_mktop )
= arrow_992993526_mktop )
= $true ),
inference(unfold_def,[status(thm)],[157]) ).
thf(329,plain,
( ( ( ti @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_844286440_mkbot )
= arrow_844286440_mkbot )
= $true ),
inference(unfold_def,[status(thm)],[158]) ).
thf(330,plain,
( ( ( ti @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ arrow_1990387629ctator )
= arrow_1990387629ctator )
= $true ),
inference(unfold_def,[status(thm)],[159]) ).
thf(331,plain,
( ( ( ti @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ arrow_1726925404_above )
= arrow_1726925404_above )
= $true ),
inference(unfold_def,[status(thm)],[160]) ).
thf(332,plain,
( ( ( ti @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ arrow_1834574746e_Prof )
= arrow_1834574746e_Prof )
= $true ),
inference(unfold_def,[status(thm)],[161]) ).
thf(333,plain,
( ( ( ti @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ arrow_638930832le_Lin )
= arrow_638930832le_Lin )
= $true ),
inference(unfold_def,[status(thm)],[162]) ).
thf(334,plain,
( ( ( ti @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ arrow_612047104le_IIA )
= arrow_612047104le_IIA )
= $true ),
inference(unfold_def,[status(thm)],[163]) ).
thf(335,plain,
( ( ( ti @ arrow_1212486748le_alt @ d )
= d )
= $true ),
inference(unfold_def,[status(thm)],[164]) ).
thf(336,plain,
( ( ( ti @ arrow_1212486748le_alt @ c )
= c )
= $true ),
inference(unfold_def,[status(thm)],[165]) ).
thf(337,plain,
( ( ( ti @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ p )
= p )
= $true ),
inference(unfold_def,[status(thm)],[166]) ).
thf(338,plain,
( ( ( ti @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ f )
= f )
= $true ),
inference(unfold_def,[status(thm)],[167]) ).
thf(339,plain,
( ( ! [B_1_1: $i] :
( ( hBOOL @ ( ti @ bool @ B_1_1 ) )
<=> ( hBOOL @ B_1_1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[168]) ).
thf(340,plain,
( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ p ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[171]) ).
thf(341,plain,
( ( ! [B_1_1: $i] :
( ( hBOOL @ ( ti @ bool @ B_1_1 ) )
<=> ( hBOOL @ B_1_1 ) ) )
= $true ),
inference(copy,[status(thm)],[339]) ).
thf(342,plain,
( ( ( ti @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ f )
= f )
= $true ),
inference(copy,[status(thm)],[338]) ).
thf(343,plain,
( ( ( ti @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ p )
= p )
= $true ),
inference(copy,[status(thm)],[337]) ).
thf(344,plain,
( ( ( ti @ arrow_1212486748le_alt @ c )
= c )
= $true ),
inference(copy,[status(thm)],[336]) ).
thf(345,plain,
( ( ( ti @ arrow_1212486748le_alt @ d )
= d )
= $true ),
inference(copy,[status(thm)],[335]) ).
thf(346,plain,
( ( ( ti @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ arrow_612047104le_IIA )
= arrow_612047104le_IIA )
= $true ),
inference(copy,[status(thm)],[334]) ).
thf(347,plain,
( ( ( ti @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ arrow_638930832le_Lin )
= arrow_638930832le_Lin )
= $true ),
inference(copy,[status(thm)],[333]) ).
thf(348,plain,
( ( ( ti @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ arrow_1834574746e_Prof )
= arrow_1834574746e_Prof )
= $true ),
inference(copy,[status(thm)],[332]) ).
thf(349,plain,
( ( ( ti @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ arrow_1726925404_above )
= arrow_1726925404_above )
= $true ),
inference(copy,[status(thm)],[331]) ).
thf(350,plain,
( ( ( ti @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ arrow_1990387629ctator )
= arrow_1990387629ctator )
= $true ),
inference(copy,[status(thm)],[330]) ).
thf(351,plain,
( ( ( ti @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_844286440_mkbot )
= arrow_844286440_mkbot )
= $true ),
inference(copy,[status(thm)],[329]) ).
thf(352,plain,
( ( ( ti @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_992993526_mktop )
= arrow_992993526_mktop )
= $true ),
inference(copy,[status(thm)],[328]) ).
thf(353,plain,
( ( ( ti @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ arrow_1932713123nimity )
= arrow_1932713123nimity )
= $true ),
inference(copy,[status(thm)],[327]) ).
thf(354,plain,
( ( ! [X_b: $i,X_c: $i,X_a: $i] :
( ( ti @ ( fun @ ( fun @ X_b @ X_c ) @ ( fun @ ( fun @ X_a @ X_b ) @ ( fun @ X_a @ X_c ) ) ) @ ( combb @ X_b @ X_c @ X_a ) )
= ( combb @ X_b @ X_c @ X_a ) ) )
= $true ),
inference(copy,[status(thm)],[326]) ).
thf(355,plain,
( ( ! [X_a: $i,X_b: $i,X_c: $i] :
( ( ti @ ( fun @ ( fun @ X_a @ ( fun @ X_b @ X_c ) ) @ ( fun @ X_b @ ( fun @ X_a @ X_c ) ) ) @ ( combc @ X_a @ X_b @ X_c ) )
= ( combc @ X_a @ X_b @ X_c ) ) )
= $true ),
inference(copy,[status(thm)],[325]) ).
thf(356,plain,
( ( ! [X_a: $i] :
( ( ti @ ( fun @ X_a @ X_a ) @ ( combi @ X_a ) )
= ( combi @ X_a ) ) )
= $true ),
inference(copy,[status(thm)],[324]) ).
thf(357,plain,
( ( ! [X_a: $i,X_b: $i] :
( ( ti @ ( fun @ X_a @ ( fun @ X_b @ X_a ) ) @ ( combk @ X_a @ X_b ) )
= ( combk @ X_a @ X_b ) ) )
= $true ),
inference(copy,[status(thm)],[323]) ).
thf(358,plain,
( ( ! [X_a: $i,X_b: $i,X_c: $i] :
( ( ti @ ( fun @ ( fun @ X_a @ ( fun @ X_b @ X_c ) ) @ ( fun @ ( fun @ X_a @ X_b ) @ ( fun @ X_a @ X_c ) ) ) @ ( combs @ X_a @ X_b @ X_c ) )
= ( combs @ X_a @ X_b @ X_c ) ) )
= $true ),
inference(copy,[status(thm)],[322]) ).
thf(359,plain,
( ( ( ti @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ nat ) @ ( finite_card @ arrow_1384031255e_indi ) )
= ( finite_card @ arrow_1384031255e_indi ) )
= $true ),
inference(copy,[status(thm)],[321]) ).
thf(360,plain,
( ( ! [X_a: $i,X_b: $i] :
( ( ti @ ( fun @ ( fun @ X_a @ X_b ) @ ( fun @ ( fun @ X_a @ bool ) @ bool ) ) @ ( inj_on @ X_a @ X_b ) )
= ( inj_on @ X_a @ X_b ) ) )
= $true ),
inference(copy,[status(thm)],[320]) ).
thf(361,plain,
( ( ! [X_a: $i,X_b: $i] :
( ( ti @ ( fun @ ( fun @ X_a @ bool ) @ ( fun @ ( fun @ X_a @ ( fun @ X_b @ bool ) ) @ ( fun @ ( fun @ X_a @ X_b ) @ bool ) ) ) @ ( pi @ X_a @ X_b ) )
= ( pi @ X_a @ X_b ) ) )
= $true ),
inference(copy,[status(thm)],[319]) ).
thf(362,plain,
( ( ! [X_a: $i] :
( ( ti @ X_a @ ( undefined @ X_a ) )
= ( undefined @ X_a ) ) )
= $true ),
inference(copy,[status(thm)],[318]) ).
thf(363,plain,
( ( ! [X_a: $i,X_b: $i] :
( ( ti @ ( fun @ ( fun @ X_a @ bool ) @ ( fun @ ( fun @ X_a @ X_b ) @ ( fun @ X_b @ X_a ) ) ) @ ( hilbert_inv_into @ X_a @ X_b ) )
= ( hilbert_inv_into @ X_a @ X_b ) ) )
= $true ),
inference(copy,[status(thm)],[317]) ).
thf(364,plain,
( ( ! [X_a: $i] :
( ( ti @ ( fun @ bool @ ( fun @ X_a @ ( fun @ X_a @ X_a ) ) ) @ ( if @ X_a ) )
= ( if @ X_a ) ) )
= $true ),
inference(copy,[status(thm)],[316]) ).
thf(365,plain,
( ( ! [X_a: $i] :
( ( ord @ X_a )
=> ( ( ti @ ( fun @ X_a @ ( fun @ X_a @ bool ) ) @ ( ord_less @ X_a ) )
= ( ord_less @ X_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[315]) ).
thf(366,plain,
( ( ! [X_a: $i] :
( ( top @ X_a )
=> ( ( ti @ X_a @ ( top_top @ X_a ) )
= ( top_top @ X_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[314]) ).
thf(367,plain,
( ( ! [X_a: $i,X_b: $i] :
( ( ti @ ( fun @ X_a @ ( fun @ X_b @ ( product_prod @ X_a @ X_b ) ) ) @ ( product_Pair @ X_a @ X_b ) )
= ( product_Pair @ X_a @ X_b ) ) )
= $true ),
inference(copy,[status(thm)],[313]) ).
thf(368,plain,
( ( ! [X_b: $i,X_c: $i,X_a: $i] :
( ( ti @ ( fun @ ( fun @ X_b @ ( fun @ X_c @ X_a ) ) @ ( fun @ ( product_prod @ X_b @ X_c ) @ X_a ) ) @ ( product_prod_rec @ X_b @ X_c @ X_a ) )
= ( product_prod_rec @ X_b @ X_c @ X_a ) ) )
= $true ),
inference(copy,[status(thm)],[312]) ).
thf(369,plain,
( ( ! [X_a: $i] :
( ( ti @ ( fun @ ( fun @ X_a @ bool ) @ ( fun @ X_a @ bool ) ) @ ( collect @ X_a ) )
= ( collect @ X_a ) ) )
= $true ),
inference(copy,[status(thm)],[311]) ).
thf(370,plain,
( ( ( ti @ bool @ fFalse )
= fFalse )
= $true ),
inference(copy,[status(thm)],[310]) ).
thf(371,plain,
( ( ( ti @ bool @ fTrue )
= fTrue )
= $true ),
inference(copy,[status(thm)],[309]) ).
thf(372,plain,
( ( ! [X_a: $i] :
( ( ti @ ( fun @ X_a @ ( fun @ X_a @ bool ) ) @ ( fequal @ X_a ) )
= ( fequal @ X_a ) ) )
= $true ),
inference(copy,[status(thm)],[308]) ).
thf(373,plain,
( ( ! [X_a: $i,X_c: $i,B_1_1: $i,B_2_1: $i] :
( ( hAPP @ X_a @ X_c @ ( ti @ ( fun @ X_a @ X_c ) @ B_1_1 ) @ B_2_1 )
= ( hAPP @ X_a @ X_c @ B_1_1 @ B_2_1 ) ) )
= $true ),
inference(copy,[status(thm)],[307]) ).
thf(374,plain,
( ( ! [X_a: $i,X_c: $i,B_1_1: $i,B_2_1: $i] :
( ( hAPP @ X_a @ X_c @ B_1_1 @ ( ti @ X_a @ B_2_1 ) )
= ( hAPP @ X_a @ X_c @ B_1_1 @ B_2_1 ) ) )
= $true ),
inference(copy,[status(thm)],[306]) ).
thf(375,plain,
( ( ! [X_c: $i,X_a: $i,B_1_1: $i,B_2_1: $i] :
( ( ti @ X_c @ ( hAPP @ X_a @ X_c @ B_1_1 @ B_2_1 ) )
= ( hAPP @ X_a @ X_c @ B_1_1 @ B_2_1 ) ) )
= $true ),
inference(copy,[status(thm)],[305]) ).
thf(376,plain,
( ( ! [X_a: $i] :
( ( ti @ ( fun @ X_a @ ( fun @ ( fun @ X_a @ bool ) @ bool ) ) @ ( member @ X_a ) )
= ( member @ X_a ) ) )
= $true ),
inference(copy,[status(thm)],[304]) ).
thf(377,plain,
( ( ( ti @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ lab )
= lab )
= $true ),
inference(copy,[status(thm)],[303]) ).
thf(378,plain,
( ( ( ti @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ lba )
= lba )
= $true ),
inference(copy,[status(thm)],[302]) ).
thf(379,plain,
( ( ( ti @ arrow_1212486748le_alt @ a )
= a )
= $true ),
inference(copy,[status(thm)],[301]) ).
thf(380,plain,
( ( ( ti @ arrow_1212486748le_alt @ b )
= b )
= $true ),
inference(copy,[status(thm)],[300]) ).
thf(381,plain,
( ( ( ti @ arrow_1212486748le_alt @ e )
= e )
= $true ),
inference(copy,[status(thm)],[299]) ).
thf(382,plain,
( ( ( ti @ ( fun @ arrow_1384031255e_indi @ nat ) @ h )
= h )
= $true ),
inference(copy,[status(thm)],[298]) ).
thf(383,plain,
( ( ( ti @ nat @ n )
= n )
= $true ),
inference(copy,[status(thm)],[297]) ).
thf(384,plain,
( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ f ) )
= $true ),
inference(copy,[status(thm)],[296]) ).
thf(385,plain,
( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_1932713123nimity @ f ) )
= $true ),
inference(copy,[status(thm)],[295]) ).
thf(386,plain,
( ( c != d )
= $true ),
inference(copy,[status(thm)],[294]) ).
thf(387,plain,
( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ p ) @ arrow_1834574746e_Prof ) )
= $true ),
inference(copy,[status(thm)],[293]) ).
thf(388,plain,
( ( ! [X_2: $i,Y_1: $i,L: $i,Z_1: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ X_2 ) @ Y_1 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ L ) @ Z_1 ) ) )
<=> ( ( ( ti @ arrow_1212486748le_alt @ Y_1 )
!= ( ti @ arrow_1212486748le_alt @ Z_1 ) )
& ( ( ( ti @ arrow_1212486748le_alt @ X_2 )
= ( ti @ arrow_1212486748le_alt @ Z_1 ) )
=> ( ( ti @ arrow_1212486748le_alt @ X_2 )
!= ( ti @ arrow_1212486748le_alt @ Y_1 ) ) )
& ( ( ( ti @ arrow_1212486748le_alt @ X_2 )
!= ( ti @ arrow_1212486748le_alt @ Z_1 ) )
=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ X_2 ) @ Y_1 ) ) @ L ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[292]) ).
thf(389,plain,
( ( ! [X_2: $i,Y_1: $i,L: $i,Z_1: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ X_2 ) @ Y_1 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ L ) @ Z_1 ) ) )
<=> ( ( ( ti @ arrow_1212486748le_alt @ X_2 )
!= ( ti @ arrow_1212486748le_alt @ Z_1 ) )
& ( ( ( ti @ arrow_1212486748le_alt @ Y_1 )
= ( ti @ arrow_1212486748le_alt @ Z_1 ) )
=> ( ( ti @ arrow_1212486748le_alt @ X_2 )
!= ( ti @ arrow_1212486748le_alt @ Y_1 ) ) )
& ( ( ( ti @ arrow_1212486748le_alt @ Y_1 )
!= ( ti @ arrow_1212486748le_alt @ Z_1 ) )
=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ X_2 ) @ Y_1 ) ) @ L ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[291]) ).
thf(390,plain,
( ( ! [P_1: $i,Pa: $i,A_4: $i,B_3: $i,Aa: $i,Ba: $i] :
( ( ( ti @ arrow_1212486748le_alt @ Aa )
!= ( ti @ arrow_1212486748le_alt @ Ba ) )
=> ( ( ( ti @ arrow_1212486748le_alt @ A_4 )
!= ( ti @ arrow_1212486748le_alt @ B_3 ) )
=> ( ( ( ti @ arrow_1212486748le_alt @ Aa )
!= ( ti @ arrow_1212486748le_alt @ B_3 ) )
=> ( ( ( ti @ arrow_1212486748le_alt @ Ba )
!= ( ti @ arrow_1212486748le_alt @ A_4 ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ Pa ) @ arrow_1834574746e_Prof ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ P_1 ) @ arrow_1834574746e_Prof ) )
=> ( ! [I: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ Aa ) @ Ba ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ Pa @ I ) ) )
<=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ A_4 ) @ B_3 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ P_1 @ I ) ) ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ Aa ) @ Ba ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ Pa ) ) )
<=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ A_4 ) @ B_3 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ P_1 ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[290]) ).
thf(391,plain,
( ( ! [P_1: $i,Pa: $i,A_4: $i,B_3: $i,Aa: $i,Ba: $i] :
( ( ( ti @ arrow_1212486748le_alt @ Aa )
!= ( ti @ arrow_1212486748le_alt @ Ba ) )
=> ( ( ( ti @ arrow_1212486748le_alt @ A_4 )
!= ( ti @ arrow_1212486748le_alt @ B_3 ) )
=> ( ( ( ti @ arrow_1212486748le_alt @ Aa )
!= ( ti @ arrow_1212486748le_alt @ B_3 ) )
=> ( ( ( ti @ arrow_1212486748le_alt @ Ba )
!= ( ti @ arrow_1212486748le_alt @ A_4 ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ Pa ) @ arrow_1834574746e_Prof ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ P_1 ) @ arrow_1834574746e_Prof ) )
=> ( ! [I: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ Aa ) @ Ba ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ Pa @ I ) ) )
<=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ A_4 ) @ B_3 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ P_1 @ I ) ) ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ Aa ) @ Ba ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ Pa ) ) )
=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ A_4 ) @ B_3 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ P_1 ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[289]) ).
thf(392,plain,
( ( ! [P_1: $i,Pa: $i,Ca: $i,Aa: $i,Ba: $i] :
( ( ( ti @ arrow_1212486748le_alt @ Aa )
!= ( ti @ arrow_1212486748le_alt @ Ba ) )
=> ( ( ( ti @ arrow_1212486748le_alt @ Ba )
!= ( ti @ arrow_1212486748le_alt @ Ca ) )
=> ( ( ( ti @ arrow_1212486748le_alt @ Aa )
!= ( ti @ arrow_1212486748le_alt @ Ca ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ Pa ) @ arrow_1834574746e_Prof ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ P_1 ) @ arrow_1834574746e_Prof ) )
=> ( ! [I: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ Aa ) @ Ba ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ Pa @ I ) ) )
<=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ Ba ) @ Ca ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ P_1 @ I ) ) ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ Aa ) @ Ba ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ Pa ) ) )
<=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ Ba ) @ Ca ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ P_1 ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[288]) ).
thf(393,plain,
( ( ! [P_1: $i,Pa: $i,A_4: $i,B_3: $i,Aa: $i,Ba: $i] :
( ( ( ti @ arrow_1212486748le_alt @ Aa )
!= ( ti @ arrow_1212486748le_alt @ Ba ) )
=> ( ( ( ti @ arrow_1212486748le_alt @ A_4 )
!= ( ti @ arrow_1212486748le_alt @ B_3 ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ Pa ) @ arrow_1834574746e_Prof ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ P_1 ) @ arrow_1834574746e_Prof ) )
=> ( ! [I: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ Aa ) @ Ba ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ Pa @ I ) ) )
<=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ A_4 ) @ B_3 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ P_1 @ I ) ) ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ Aa ) @ Ba ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ Pa ) ) )
<=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ A_4 ) @ B_3 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ P_1 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[287]) ).
thf(394,plain,
( ( ! [P_1: $i,Pa: $i,Aa: $i,Ba: $i] :
( ( ( ti @ arrow_1212486748le_alt @ Aa )
!= ( ti @ arrow_1212486748le_alt @ Ba ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ Pa ) @ arrow_1834574746e_Prof ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ P_1 ) @ arrow_1834574746e_Prof ) )
=> ( ! [I: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ Aa ) @ Ba ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ Pa @ I ) ) )
<=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ Ba ) @ Aa ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ P_1 @ I ) ) ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ Aa ) @ Ba ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ Pa ) ) )
<=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ Ba ) @ Aa ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ P_1 ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[286]) ).
thf(395,plain,
( ( ! [I: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ I ) ) )
<=> ( ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ I ) ) @ n ) )
=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ I ) ) @ e ) ) ) )
& ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ I ) ) @ n ) )
=> ( ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ I )
= n )
=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ I ) ) @ c ) @ e ) ) ) )
& ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ I )
!= n )
=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ I ) ) @ e ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[285]) ).
thf(396,plain,
( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ ( hAPP @ nat @ arrow_1384031255e_indi @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ nat @ arrow_1384031255e_indi ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ nat @ arrow_1384031255e_indi ) ) @ ( hilbert_inv_into @ arrow_1384031255e_indi @ nat ) @ ( top_top @ ( fun @ arrow_1384031255e_indi @ bool ) ) ) @ h ) @ n ) ) ) )
= $true ),
inference(copy,[status(thm)],[284]) ).
thf(397,plain,
( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( ord_less @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_992993526_mktop ) @ p ) ) @ e ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( fequal @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ arrow_1726925404_above ) @ p ) ) @ c ) ) @ e ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_844286440_mkbot ) @ p ) ) @ e ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[283]) ).
thf(398,plain,
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ p ) ) )
<=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( ord_less @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_992993526_mktop ) @ p ) ) @ e ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( fequal @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ arrow_1726925404_above ) @ p ) ) @ c ) ) @ e ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_844286440_mkbot ) @ p ) ) @ e ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[282]) ).
thf(399,plain,
( ( ! [X_a: $i,X_b: $i,Pa: $i] :
( ! [X1: $i] : ( hBOOL @ ( hAPP @ ( product_prod @ X_a @ X_b ) @ bool @ Pa @ X1 ) )
<=> ! [A_2: $i,B_1: $i] : ( hBOOL @ ( hAPP @ ( product_prod @ X_a @ X_b ) @ bool @ Pa @ ( hAPP @ X_b @ ( product_prod @ X_a @ X_b ) @ ( hAPP @ X_a @ ( fun @ X_b @ ( product_prod @ X_a @ X_b ) ) @ ( product_Pair @ X_a @ X_b ) @ A_2 ) @ B_1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[281]) ).
thf(400,plain,
( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( ord_less @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_992993526_mktop ) @ p ) ) @ e ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( fequal @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ arrow_1726925404_above ) @ p ) ) @ c ) ) @ e ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_844286440_mkbot ) @ p ) ) @ e ) ) ) ) @ arrow_1834574746e_Prof ) )
= $true ),
inference(copy,[status(thm)],[280]) ).
thf(401,plain,
( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ e ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( ord_less @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_992993526_mktop ) @ p ) ) @ e ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( fequal @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ arrow_1726925404_above ) @ p ) ) @ c ) ) @ e ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_844286440_mkbot ) @ p ) ) @ e ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[279]) ).
thf(402,plain,
( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( ord_less @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_992993526_mktop ) @ p ) ) @ e ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( fequal @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ arrow_1726925404_above ) @ p ) ) @ c ) ) @ e ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_844286440_mkbot ) @ p ) ) @ e ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[278]) ).
thf(403,plain,
( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ n ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ nat @ ( finite_card @ arrow_1384031255e_indi ) @ ( top_top @ ( fun @ arrow_1384031255e_indi @ bool ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[277]) ).
thf(404,plain,
( ( hBOOL @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ bool ) @ ( inj_on @ arrow_1384031255e_indi @ nat ) @ h ) @ ( top_top @ ( fun @ arrow_1384031255e_indi @ bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[276]) ).
thf(405,plain,
( ( ! [X_b: $i,X_a: $i,A_3: $i,B_2: $i,A_5: $i,B_4: $i] :
( ( ( hAPP @ X_b @ ( product_prod @ X_a @ X_b ) @ ( hAPP @ X_a @ ( fun @ X_b @ ( product_prod @ X_a @ X_b ) ) @ ( product_Pair @ X_a @ X_b ) @ A_3 ) @ B_2 )
= ( hAPP @ X_b @ ( product_prod @ X_a @ X_b ) @ ( hAPP @ X_a @ ( fun @ X_b @ ( product_prod @ X_a @ X_b ) ) @ ( product_Pair @ X_a @ X_b ) @ A_5 ) @ B_4 ) )
=> ~ ( ( ( ti @ X_a @ A_3 )
= ( ti @ X_a @ A_5 ) )
=> ( ( ti @ X_b @ B_2 )
!= ( ti @ X_b @ B_4 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[275]) ).
thf(406,plain,
( ( ! [X_b: $i,X_a: $i,Aa: $i,Ba: $i,A_4: $i,B_3: $i] :
( ( ( hAPP @ X_b @ ( product_prod @ X_a @ X_b ) @ ( hAPP @ X_a @ ( fun @ X_b @ ( product_prod @ X_a @ X_b ) ) @ ( product_Pair @ X_a @ X_b ) @ Aa ) @ Ba )
= ( hAPP @ X_b @ ( product_prod @ X_a @ X_b ) @ ( hAPP @ X_a @ ( fun @ X_b @ ( product_prod @ X_a @ X_b ) ) @ ( product_Pair @ X_a @ X_b ) @ A_4 ) @ B_3 ) )
<=> ( ( ( ti @ X_a @ Aa )
= ( ti @ X_a @ A_4 ) )
& ( ( ti @ X_b @ Ba )
= ( ti @ X_b @ B_3 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[274]) ).
thf(407,plain,
( ( ! [Fa: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ Fa ) )
<=> ! [X_1: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ X_1 ) @ arrow_1834574746e_Prof ) )
=> ! [Xa: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ Xa ) @ arrow_1834574746e_Prof ) )
=> ! [A_2: $i,B_1: $i] :
( ! [I: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ A_2 ) @ B_1 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ X_1 @ I ) ) )
<=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ A_2 ) @ B_1 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ Xa @ I ) ) ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ A_2 ) @ B_1 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ Fa @ X_1 ) ) )
<=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ A_2 ) @ B_1 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ Fa @ Xa ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[273]) ).
thf(408,plain,
( ( ! [Fa: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_1932713123nimity @ Fa ) )
<=> ! [X_1: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ X_1 ) @ arrow_1834574746e_Prof ) )
=> ! [A_2: $i,B_1: $i] :
( ! [I: $i] : ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ A_2 ) @ B_1 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ X_1 @ I ) ) )
=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ A_2 ) @ B_1 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ Fa @ X_1 ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[272]) ).
thf(409,plain,
( ( ! [X_a: $i,X_2: $i] : ( hBOOL @ ( hAPP @ X_a @ bool @ ( top_top @ ( fun @ X_a @ bool ) ) @ X_2 ) ) )
= $true ),
inference(copy,[status(thm)],[271]) ).
thf(410,plain,
( ( ! [X_a: $i,X_2: $i] : ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ X_a @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( member @ X_a ) @ X_2 ) @ ( top_top @ ( fun @ X_a @ bool ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[270]) ).
thf(411,plain,
( ( ! [X_a: $i,X_2: $i] : ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ X_a @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( member @ X_a ) @ X_2 ) @ ( top_top @ ( fun @ X_a @ bool ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[269]) ).
thf(412,plain,
( ( ! [X_b: $i,X_c: $i,X_a: $i,F1: $i,Aa: $i,Ba: $i] :
( ( hAPP @ ( product_prod @ X_b @ X_c ) @ X_a @ ( hAPP @ ( fun @ X_b @ ( fun @ X_c @ X_a ) ) @ ( fun @ ( product_prod @ X_b @ X_c ) @ X_a ) @ ( product_prod_rec @ X_b @ X_c @ X_a ) @ F1 ) @ ( hAPP @ X_c @ ( product_prod @ X_b @ X_c ) @ ( hAPP @ X_b @ ( fun @ X_c @ ( product_prod @ X_b @ X_c ) ) @ ( product_Pair @ X_b @ X_c ) @ Aa ) @ Ba ) )
= ( hAPP @ X_c @ X_a @ ( hAPP @ X_b @ ( fun @ X_c @ X_a ) @ F1 @ Aa ) @ Ba ) ) )
= $true ),
inference(copy,[status(thm)],[268]) ).
thf(413,plain,
( ( ! [X_b: $i,X_a: $i] :
( ( top @ X_a )
=> ! [X_2: $i] :
( ( hAPP @ X_b @ X_a @ ( top_top @ ( fun @ X_b @ X_a ) ) @ X_2 )
= ( top_top @ X_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[267]) ).
thf(414,plain,
( ( ! [X_a: $i] :
( ( top @ X_a )
=> ! [A_3: $i] :
~ ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ ( top_top @ X_a ) ) @ A_3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[266]) ).
thf(415,plain,
( ( ! [X_a: $i] :
( ( linorder @ X_a )
=> ! [X: $i,Y: $i] :
( ~ ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ X ) @ Y ) )
=> ( ( ( ti @ X_a @ X )
!= ( ti @ X_a @ Y ) )
=> ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ Y ) @ X ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[265]) ).
thf(416,plain,
( ( ! [X_a: $i] :
( ( preorder @ X_a )
=> ! [X: $i,Y: $i] :
( ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ X ) @ Y ) )
=> ~ ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ Y ) @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[264]) ).
thf(417,plain,
( ( ! [X_a: $i] :
( ( order @ X_a )
=> ! [Z: $i,Y: $i,X: $i] :
( ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ Y ) @ X ) )
=> ( ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ Z ) @ Y ) )
=> ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ Z ) @ X ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[263]) ).
thf(418,plain,
( ( ! [X_a: $i] :
( ( preorder @ X_a )
=> ! [Z: $i,X: $i,Y: $i] :
( ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ X ) @ Y ) )
=> ( ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ Y ) @ Z ) )
=> ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ X ) @ Z ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[262]) ).
thf(419,plain,
( ( ! [X_a: $i] :
( ( order @ X_a )
=> ! [C: $i,B_2: $i,A_3: $i] :
( ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ B_2 ) @ A_3 ) )
=> ( ( B_2 = C )
=> ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ C ) @ A_3 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[261]) ).
thf(420,plain,
( ( ! [X_a: $i] :
( ( ord @ X_a )
=> ! [C: $i,A_3: $i,B_2: $i] :
( ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ A_3 ) @ B_2 ) )
=> ( ( B_2 = C )
=> ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ A_3 ) @ C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[260]) ).
thf(421,plain,
( ( ! [X_a: $i] :
( ( order @ X_a )
=> ! [C: $i,A_3: $i,B_2: $i] :
( ( A_3 = B_2 )
=> ( ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ C ) @ B_2 ) )
=> ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ C ) @ A_3 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[259]) ).
thf(422,plain,
( ( ! [X_a: $i] :
( ( ord @ X_a )
=> ! [C: $i,A_3: $i,B_2: $i] :
( ( A_3 = B_2 )
=> ( ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ B_2 ) @ C ) )
=> ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ A_3 ) @ C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[258]) ).
thf(423,plain,
( ( ! [X_a: $i] :
( ( order @ X_a )
=> ! [B_2: $i,A_3: $i] :
( ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ B_2 ) @ A_3 ) )
=> ~ ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ A_3 ) @ B_2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[257]) ).
thf(424,plain,
( ( ! [X_a: $i] :
( ( preorder @ X_a )
=> ! [A_3: $i,B_2: $i] :
( ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ A_3 ) @ B_2 ) )
=> ~ ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ B_2 ) @ A_3 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[256]) ).
thf(425,plain,
( ( ! [X_a: $i] :
( ( preorder @ X_a )
=> ! [Pa: $i,X_2: $i,Y_1: $i] :
( ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ X_2 ) @ Y_1 ) )
=> ( ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ Y_1 ) @ X_2 ) )
=> ( hBOOL @ Pa ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[255]) ).
thf(426,plain,
( ( ! [X_a: $i] :
( ( order @ X_a )
=> ! [X: $i,Y: $i] :
( ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ X ) @ Y ) )
=> ( Y != X ) ) ) )
= $true ),
inference(copy,[status(thm)],[254]) ).
thf(427,plain,
( ( ! [X_a: $i] :
( ( order @ X_a )
=> ! [X: $i,Y: $i] :
( ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ X ) @ Y ) )
=> ( X != Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[253]) ).
thf(428,plain,
( ( ! [X_a: $i] :
( ( preorder @ X_a )
=> ! [X: $i,Y: $i] :
( ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ X ) @ Y ) )
=> ~ ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ Y ) @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[252]) ).
thf(429,plain,
( ( ! [X_a: $i] :
( ( preorder @ X_a )
=> ! [X: $i,Y: $i] :
( ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ X ) @ Y ) )
=> ~ ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ Y ) @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[251]) ).
thf(430,plain,
( ( ! [X_a: $i] :
( ( order @ X_a )
=> ! [X: $i,Y: $i] :
( ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ X ) @ Y ) )
=> ( X != Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[250]) ).
thf(431,plain,
( ( ! [X_a: $i] :
( ( linorder @ X_a )
=> ! [X: $i,Y: $i] :
( ( ( ti @ X_a @ X )
!= ( ti @ X_a @ Y ) )
=> ( ~ ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ X ) @ Y ) )
=> ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ Y ) @ X ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[249]) ).
thf(432,plain,
( ( ! [X_a: $i] :
( ( linorder @ X_a )
=> ! [Y_1: $i,X_2: $i] :
( ~ ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ Y_1 ) @ X_2 ) )
=> ( ~ ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ X_2 ) @ Y_1 ) )
<=> ( ( ti @ X_a @ X_2 )
= ( ti @ X_a @ Y_1 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[248]) ).
thf(433,plain,
( ( ! [X_a: $i] :
( ( linorder @ X_a )
=> ! [X: $i,Y: $i] :
( ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ X ) @ Y ) )
| ( ( ti @ X_a @ X )
= ( ti @ X_a @ Y ) )
| ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ Y ) @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[247]) ).
thf(434,plain,
( ( ! [X_a: $i] :
( ( linorder @ X_a )
=> ! [X_2: $i,Y_1: $i] :
( ~ ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ X_2 ) @ Y_1 ) )
<=> ( ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ Y_1 ) @ X_2 ) )
| ( ( ti @ X_a @ X_2 )
= ( ti @ X_a @ Y_1 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[246]) ).
thf(435,plain,
( ( ! [X_a: $i] :
( ( linorder @ X_a )
=> ! [X_2: $i,Y_1: $i] :
( ( ( ti @ X_a @ X_2 )
!= ( ti @ X_a @ Y_1 ) )
<=> ( ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ X_2 ) @ Y_1 ) )
| ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ Y_1 ) @ X_2 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[245]) ).
thf(436,plain,
( ( ! [X_a: $i] :
( ( preorder @ X_a )
=> ! [X: $i] :
~ ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ X ) @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[244]) ).
thf(437,plain,
( ( ! [X_a: $i] :
( ( top_top @ ( fun @ X_a @ bool ) )
= ( hAPP @ ( fun @ X_a @ bool ) @ ( fun @ X_a @ bool ) @ ( collect @ X_a ) @ ( hAPP @ bool @ ( fun @ X_a @ bool ) @ ( combk @ bool @ X_a ) @ fTrue ) ) ) )
= $true ),
inference(copy,[status(thm)],[243]) ).
thf(438,plain,
( ( ! [X_a: $i,X_b: $i,S: $i,R_1: $i] :
( ! [X_1: $i,Xa: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ X_a @ X_b ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ X_a @ X_b ) @ ( fun @ ( fun @ ( product_prod @ X_a @ X_b ) @ bool ) @ bool ) @ ( member @ ( product_prod @ X_a @ X_b ) ) @ ( hAPP @ X_b @ ( product_prod @ X_a @ X_b ) @ ( hAPP @ X_a @ ( fun @ X_b @ ( product_prod @ X_a @ X_b ) ) @ ( product_Pair @ X_a @ X_b ) @ X_1 ) @ Xa ) ) @ R_1 ) )
<=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ X_a @ X_b ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ X_a @ X_b ) @ ( fun @ ( fun @ ( product_prod @ X_a @ X_b ) @ bool ) @ bool ) @ ( member @ ( product_prod @ X_a @ X_b ) ) @ ( hAPP @ X_b @ ( product_prod @ X_a @ X_b ) @ ( hAPP @ X_a @ ( fun @ X_b @ ( product_prod @ X_a @ X_b ) ) @ ( product_Pair @ X_a @ X_b ) @ X_1 ) @ Xa ) ) @ S ) ) )
<=> ( ( ti @ ( fun @ ( product_prod @ X_a @ X_b ) @ bool ) @ R_1 )
= ( ti @ ( fun @ ( product_prod @ X_a @ X_b ) @ bool ) @ S ) ) ) )
= $true ),
inference(copy,[status(thm)],[242]) ).
thf(439,plain,
( ( ! [X_a: $i] :
( ( top @ X_a )
=> ! [Aa: $i] :
( ( ( ti @ X_a @ Aa )
!= ( top_top @ X_a ) )
<=> ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ Aa ) @ ( top_top @ X_a ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[241]) ).
thf(440,plain,
( ( ! [X_a: $i,X_b: $i,X_2: $i,Y_1: $i,F: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ ( fun @ X_a @ X_b ) @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( inj_on @ X_a @ X_b ) @ F ) @ ( top_top @ ( fun @ X_a @ bool ) ) ) )
=> ( ( ( hAPP @ X_a @ X_b @ F @ X_2 )
= ( ti @ X_b @ Y_1 ) )
=> ( ( hAPP @ X_b @ X_a @ ( hAPP @ ( fun @ X_a @ X_b ) @ ( fun @ X_b @ X_a ) @ ( hAPP @ ( fun @ X_a @ bool ) @ ( fun @ ( fun @ X_a @ X_b ) @ ( fun @ X_b @ X_a ) ) @ ( hilbert_inv_into @ X_a @ X_b ) @ ( top_top @ ( fun @ X_a @ bool ) ) ) @ F ) @ Y_1 )
= ( ti @ X_a @ X_2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[240]) ).
thf(441,plain,
( ( ! [X_a: $i,X_b: $i,X_2: $i,F: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ ( fun @ X_a @ X_b ) @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( inj_on @ X_a @ X_b ) @ F ) @ ( top_top @ ( fun @ X_a @ bool ) ) ) )
=> ( ( hAPP @ X_b @ X_a @ ( hAPP @ ( fun @ X_a @ X_b ) @ ( fun @ X_b @ X_a ) @ ( hAPP @ ( fun @ X_a @ bool ) @ ( fun @ ( fun @ X_a @ X_b ) @ ( fun @ X_b @ X_a ) ) @ ( hilbert_inv_into @ X_a @ X_b ) @ ( top_top @ ( fun @ X_a @ bool ) ) ) @ F ) @ ( hAPP @ X_a @ X_b @ F @ X_2 ) )
= ( ti @ X_a @ X_2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[239]) ).
thf(442,plain,
( ( ! [X_c: $i,X_a: $i,X_b: $i,F: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ ( fun @ X_a @ X_b ) @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( inj_on @ X_a @ X_b ) @ F ) @ ( top_top @ ( fun @ X_a @ bool ) ) ) )
=> ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ ( fun @ X_a @ ( fun @ X_c @ X_b ) ) @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( inj_on @ X_a @ ( fun @ X_c @ X_b ) ) @ ( hAPP @ ( fun @ X_a @ X_b ) @ ( fun @ X_a @ ( fun @ X_c @ X_b ) ) @ ( hAPP @ ( fun @ X_b @ ( fun @ X_c @ X_b ) ) @ ( fun @ ( fun @ X_a @ X_b ) @ ( fun @ X_a @ ( fun @ X_c @ X_b ) ) ) @ ( combb @ X_b @ ( fun @ X_c @ X_b ) @ X_a ) @ ( combk @ X_b @ X_c ) ) @ F ) ) @ ( top_top @ ( fun @ X_a @ bool ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[238]) ).
thf(443,plain,
( ( ! [X_a: $i,X_b: $i,X_2: $i,F: $i,A_1: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ ( fun @ X_a @ X_b ) @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( inj_on @ X_a @ X_b ) @ F ) @ A_1 ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ X_a @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( member @ X_a ) @ X_2 ) @ A_1 ) )
=> ( ( hAPP @ X_b @ X_a @ ( hAPP @ ( fun @ X_a @ X_b ) @ ( fun @ X_b @ X_a ) @ ( hAPP @ ( fun @ X_a @ bool ) @ ( fun @ ( fun @ X_a @ X_b ) @ ( fun @ X_b @ X_a ) ) @ ( hilbert_inv_into @ X_a @ X_b ) @ A_1 ) @ F ) @ ( hAPP @ X_a @ X_b @ F @ X_2 ) )
= ( ti @ X_a @ X_2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[237]) ).
thf(444,plain,
( ( ! [X_a: $i,X_b: $i,Y_1: $i,X_2: $i,F: $i,A_1: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ ( fun @ X_a @ X_b ) @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( inj_on @ X_a @ X_b ) @ F ) @ A_1 ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ X_a @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( member @ X_a ) @ X_2 ) @ A_1 ) )
=> ( ( ( hAPP @ X_a @ X_b @ F @ X_2 )
= ( ti @ X_b @ Y_1 ) )
=> ( ( hAPP @ X_b @ X_a @ ( hAPP @ ( fun @ X_a @ X_b ) @ ( fun @ X_b @ X_a ) @ ( hAPP @ ( fun @ X_a @ bool ) @ ( fun @ ( fun @ X_a @ X_b ) @ ( fun @ X_b @ X_a ) ) @ ( hilbert_inv_into @ X_a @ X_b ) @ A_1 ) @ F ) @ Y_1 )
= ( ti @ X_a @ X_2 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[236]) ).
thf(445,plain,
( ( ! [X_a: $i,X_b: $i,X_2: $i,Y_1: $i,F: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ ( fun @ X_a @ X_b ) @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( inj_on @ X_a @ X_b ) @ F ) @ ( top_top @ ( fun @ X_a @ bool ) ) ) )
=> ( ( ( hAPP @ X_a @ X_b @ F @ X_2 )
= ( hAPP @ X_a @ X_b @ F @ Y_1 ) )
<=> ( ( ti @ X_a @ X_2 )
= ( ti @ X_a @ Y_1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[235]) ).
thf(446,plain,
( ( ! [X_a: $i,X_b: $i,F: $i,A_1: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ ( fun @ X_a @ X_b ) @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( inj_on @ X_a @ X_b ) @ F ) @ A_1 ) )
<=> ! [X_1: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ X_a @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( member @ X_a ) @ X_1 ) @ A_1 ) )
=> ! [Xa: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ X_a @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( member @ X_a ) @ Xa ) @ A_1 ) )
=> ( ( ( hAPP @ X_a @ X_b @ F @ X_1 )
= ( hAPP @ X_a @ X_b @ F @ Xa ) )
=> ( ( ti @ X_a @ X_1 )
= ( ti @ X_a @ Xa ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[234]) ).
thf(447,plain,
( ( ! [X_a: $i,X_b: $i,X_2: $i,Y_1: $i,F: $i,A_1: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ ( fun @ X_a @ X_b ) @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( inj_on @ X_a @ X_b ) @ F ) @ A_1 ) )
=> ( ( ( ti @ X_a @ X_2 )
!= ( ti @ X_a @ Y_1 ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ X_a @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( member @ X_a ) @ X_2 ) @ A_1 ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ X_a @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( member @ X_a ) @ Y_1 ) @ A_1 ) )
=> ( ( hAPP @ X_a @ X_b @ F @ X_2 )
!= ( hAPP @ X_a @ X_b @ F @ Y_1 ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[233]) ).
thf(448,plain,
( ( ! [X_a: $i,X_b: $i,Y_1: $i,X_2: $i,F: $i,A_1: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ ( fun @ X_a @ X_b ) @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( inj_on @ X_a @ X_b ) @ F ) @ A_1 ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ X_a @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( member @ X_a ) @ X_2 ) @ A_1 ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ X_a @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( member @ X_a ) @ Y_1 ) @ A_1 ) )
=> ( ( ( hAPP @ X_a @ X_b @ F @ X_2 )
= ( hAPP @ X_a @ X_b @ F @ Y_1 ) )
<=> ( ( ti @ X_a @ X_2 )
= ( ti @ X_a @ Y_1 ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[232]) ).
thf(449,plain,
( ( ! [X_a: $i,X_b: $i,X_2: $i,Y_1: $i,F: $i,A_1: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ ( fun @ X_a @ X_b ) @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( inj_on @ X_a @ X_b ) @ F ) @ A_1 ) )
=> ( ( ( hAPP @ X_a @ X_b @ F @ X_2 )
= ( hAPP @ X_a @ X_b @ F @ Y_1 ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ X_a @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( member @ X_a ) @ X_2 ) @ A_1 ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ X_a @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( member @ X_a ) @ Y_1 ) @ A_1 ) )
=> ( ( ti @ X_a @ X_2 )
= ( ti @ X_a @ Y_1 ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[231]) ).
thf(450,plain,
( ( ! [X_a: $i,A_1: $i] : ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ ( fun @ X_a @ X_a ) @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( inj_on @ X_a @ X_a ) @ ( combi @ X_a ) ) @ A_1 ) ) )
= $true ),
inference(copy,[status(thm)],[230]) ).
thf(451,plain,
( ( ! [X_a: $i,X_b: $i,X_2: $i,Y_1: $i,F: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ ( fun @ X_a @ X_b ) @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( inj_on @ X_a @ X_b ) @ F ) @ ( top_top @ ( fun @ X_a @ bool ) ) ) )
=> ( ( ( hAPP @ X_a @ X_b @ F @ X_2 )
= ( hAPP @ X_a @ X_b @ F @ Y_1 ) )
=> ( ( ti @ X_a @ X_2 )
= ( ti @ X_a @ Y_1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[229]) ).
thf(452,plain,
( ( ! [X_a: $i,X_b: $i,G: $i,F: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ ( fun @ X_a @ X_b ) @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( inj_on @ X_a @ X_b ) @ F ) @ ( top_top @ ( fun @ X_a @ bool ) ) ) )
=> ( ! [X_1: $i] :
( ( hAPP @ X_a @ X_b @ F @ ( hAPP @ X_b @ X_a @ G @ X_1 ) )
= ( ti @ X_b @ X_1 ) )
=> ( ( hAPP @ ( fun @ X_a @ X_b ) @ ( fun @ X_b @ X_a ) @ ( hAPP @ ( fun @ X_a @ bool ) @ ( fun @ ( fun @ X_a @ X_b ) @ ( fun @ X_b @ X_a ) ) @ ( hilbert_inv_into @ X_a @ X_b ) @ ( top_top @ ( fun @ X_a @ bool ) ) ) @ F )
= ( ti @ ( fun @ X_b @ X_a ) @ G ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[228]) ).
thf(453,plain,
( ( ! [X_a: $i,X_b: $i,F: $i] :
( ! [X_1: $i,Y_2: $i] :
( ( ( hAPP @ X_a @ X_b @ F @ X_1 )
= ( hAPP @ X_a @ X_b @ F @ Y_2 ) )
=> ( ( ti @ X_a @ X_1 )
= ( ti @ X_a @ Y_2 ) ) )
=> ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ ( fun @ X_a @ X_b ) @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( inj_on @ X_a @ X_b ) @ F ) @ ( top_top @ ( fun @ X_a @ bool ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[227]) ).
thf(454,plain,
( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ f ) @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) ) @ ( pi @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1834574746e_Prof ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( combk @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_638930832le_Lin ) ) ) )
= $true ),
inference(copy,[status(thm)],[226]) ).
thf(455,plain,
( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ lba ) @ arrow_638930832le_Lin ) )
= $true ),
inference(copy,[status(thm)],[225]) ).
thf(456,plain,
( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ lab ) @ arrow_638930832le_Lin ) )
= $true ),
inference(copy,[status(thm)],[224]) ).
thf(457,plain,
( ( ! [Aa: $i,Ba: $i,L: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ L ) @ arrow_638930832le_Lin ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ Aa ) @ Ba ) ) @ L ) )
=> ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ Ba ) @ Aa ) ) @ L ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[223]) ).
thf(458,plain,
( ( ! [X_2: $i,Y_1: $i,L: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ L ) @ arrow_638930832le_Lin ) )
=> ( ( ( ti @ arrow_1212486748le_alt @ X_2 )
!= ( ti @ arrow_1212486748le_alt @ Y_1 ) )
=> ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ X_2 ) @ Y_1 ) ) @ L ) )
<=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ Y_1 ) @ X_2 ) ) @ L ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[222]) ).
thf(459,plain,
( ( ! [X_a: $i,X_b: $i,F: $i,G: $i] :
( ! [X_1: $i] :
( ( hAPP @ X_a @ X_b @ F @ X_1 )
= ( hAPP @ X_a @ X_b @ G @ X_1 ) )
=> ( ( ti @ ( fun @ X_a @ X_b ) @ F )
= ( ti @ ( fun @ X_a @ X_b ) @ G ) ) ) )
= $true ),
inference(copy,[status(thm)],[221]) ).
thf(460,plain,
( ( ! [X_a: $i,X_2: $i,A_1: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ X_a @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( member @ X_a ) @ X_2 ) @ A_1 ) )
<=> ( hBOOL @ ( hAPP @ X_a @ bool @ A_1 @ X_2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[220]) ).
thf(461,plain,
( ( ! [X_a: $i,Pa: $i] :
( ( hAPP @ ( fun @ X_a @ bool ) @ ( fun @ X_a @ bool ) @ ( collect @ X_a ) @ Pa )
= ( ti @ ( fun @ X_a @ bool ) @ Pa ) ) )
= $true ),
inference(copy,[status(thm)],[219]) ).
thf(462,plain,
( ( ! [X_2: $i,L: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ L ) @ arrow_638930832le_Lin ) )
=> ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ L ) @ X_2 ) ) @ arrow_638930832le_Lin ) ) ) )
= $true ),
inference(copy,[status(thm)],[218]) ).
thf(463,plain,
( ( ! [X_2: $i,L: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ L ) @ arrow_638930832le_Lin ) )
=> ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ L ) @ X_2 ) ) @ arrow_638930832le_Lin ) ) ) )
= $true ),
inference(copy,[status(thm)],[217]) ).
thf(464,plain,
( ( ! [L: $i,X_2: $i,Y_1: $i] :
( ( ( ti @ arrow_1212486748le_alt @ X_2 )
!= ( ti @ arrow_1212486748le_alt @ Y_1 ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ L ) @ arrow_638930832le_Lin ) )
=> ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ L ) @ X_2 ) @ Y_1 ) ) @ arrow_638930832le_Lin ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[216]) ).
thf(465,plain,
( ( ! [L: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ L ) @ arrow_638930832le_Lin ) )
=> ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( combk @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ arrow_1384031255e_indi ) @ L ) ) @ arrow_1834574746e_Prof ) ) ) )
= $true ),
inference(copy,[status(thm)],[215]) ).
thf(466,plain,
( ( ! [X_2: $i,Y_1: $i,L: $i,Aa: $i,Ba: $i] :
( ( ( ti @ arrow_1212486748le_alt @ Aa )
!= ( ti @ arrow_1212486748le_alt @ Ba ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ L ) @ arrow_638930832le_Lin ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ X_2 ) @ Y_1 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ L ) @ Aa ) @ Ba ) ) )
<=> ( ( ( ti @ arrow_1212486748le_alt @ X_2 )
!= ( ti @ arrow_1212486748le_alt @ Y_1 ) )
& ( ( ( ti @ arrow_1212486748le_alt @ X_2 )
= ( ti @ arrow_1212486748le_alt @ Ba ) )
=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ Aa ) @ Y_1 ) ) @ L ) ) )
& ( ( ( ti @ arrow_1212486748le_alt @ X_2 )
!= ( ti @ arrow_1212486748le_alt @ Ba ) )
=> ( ( ( ( ti @ arrow_1212486748le_alt @ Y_1 )
= ( ti @ arrow_1212486748le_alt @ Ba ) )
=> ( ( ( ti @ arrow_1212486748le_alt @ X_2 )
= ( ti @ arrow_1212486748le_alt @ Aa ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ X_2 ) @ Aa ) ) @ L ) ) ) )
& ( ( ( ti @ arrow_1212486748le_alt @ Y_1 )
!= ( ti @ arrow_1212486748le_alt @ Ba ) )
=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ X_2 ) @ Y_1 ) ) @ L ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[214]) ).
thf(467,plain,
( ( ! [I_1: $i,Fa: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ Fa ) @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) ) @ ( pi @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1834574746e_Prof ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( combk @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_638930832le_Lin ) ) ) )
=> ( ! [X_1: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ X_1 ) @ arrow_1834574746e_Prof ) )
=> ! [A_2: $i,B_1: $i] :
( ( ( ti @ arrow_1212486748le_alt @ A_2 )
!= ( ti @ arrow_1212486748le_alt @ B_1 ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ A_2 ) @ B_1 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ X_1 @ I_1 ) ) )
=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ A_2 ) @ B_1 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ Fa @ X_1 ) ) ) ) ) )
=> ( hBOOL @ ( hAPP @ arrow_1384031255e_indi @ bool @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ bool ) @ arrow_1990387629ctator @ Fa ) @ I_1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[213]) ).
thf(468,plain,
( ( ! [X_a: $i,X_b: $i,X_2: $i,F: $i,A_1: $i,B: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ X_a @ X_b ) @ bool ) @ bool @ ( hAPP @ ( fun @ X_a @ X_b ) @ ( fun @ ( fun @ ( fun @ X_a @ X_b ) @ bool ) @ bool ) @ ( member @ ( fun @ X_a @ X_b ) ) @ F ) @ ( hAPP @ ( fun @ X_a @ ( fun @ X_b @ bool ) ) @ ( fun @ ( fun @ X_a @ X_b ) @ bool ) @ ( hAPP @ ( fun @ X_a @ bool ) @ ( fun @ ( fun @ X_a @ ( fun @ X_b @ bool ) ) @ ( fun @ ( fun @ X_a @ X_b ) @ bool ) ) @ ( pi @ X_a @ X_b ) @ A_1 ) @ B ) ) )
=> ( ~ ( hBOOL @ ( hAPP @ ( fun @ X_b @ bool ) @ bool @ ( hAPP @ X_b @ ( fun @ ( fun @ X_b @ bool ) @ bool ) @ ( member @ X_b ) @ ( hAPP @ X_a @ X_b @ F @ X_2 ) ) @ ( hAPP @ X_a @ ( fun @ X_b @ bool ) @ B @ X_2 ) ) )
=> ~ ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ X_a @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( member @ X_a ) @ X_2 ) @ A_1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[212]) ).
thf(469,plain,
( ( ! [Aa: $i,Ba: $i] :
( ( ( ti @ arrow_1212486748le_alt @ Aa )
!= ( ti @ arrow_1212486748le_alt @ Ba ) )
=> ? [X_1: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ X_1 ) @ arrow_638930832le_Lin ) )
& ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ Aa ) @ Ba ) ) @ X_1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[211]) ).
thf(470,plain,
( ( ! [Na: $i] : ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combc @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( ord_less @ nat ) ) @ h ) ) @ Na ) ) ) @ lab ) ) @ lba ) ) @ arrow_1834574746e_Prof ) ) )
= $true ),
inference(copy,[status(thm)],[210]) ).
thf(471,plain,
( ( ! [X_a: $i,X_b: $i,X_2: $i,F: $i,A_1: $i,B: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ X_a @ X_b ) @ bool ) @ bool @ ( hAPP @ ( fun @ X_a @ X_b ) @ ( fun @ ( fun @ ( fun @ X_a @ X_b ) @ bool ) @ bool ) @ ( member @ ( fun @ X_a @ X_b ) ) @ F ) @ ( hAPP @ ( fun @ X_a @ ( fun @ X_b @ bool ) ) @ ( fun @ ( fun @ X_a @ X_b ) @ bool ) @ ( hAPP @ ( fun @ X_a @ bool ) @ ( fun @ ( fun @ X_a @ ( fun @ X_b @ bool ) ) @ ( fun @ ( fun @ X_a @ X_b ) @ bool ) ) @ ( pi @ X_a @ X_b ) @ A_1 ) @ B ) ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ X_a @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( member @ X_a ) @ X_2 ) @ A_1 ) )
=> ( hBOOL @ ( hAPP @ ( fun @ X_b @ bool ) @ bool @ ( hAPP @ X_b @ ( fun @ ( fun @ X_b @ bool ) @ bool ) @ ( member @ X_b ) @ ( hAPP @ X_a @ X_b @ F @ X_2 ) ) @ ( hAPP @ X_a @ ( fun @ X_b @ bool ) @ B @ X_2 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[209]) ).
thf(472,plain,
( ( arrow_1834574746e_Prof
= ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) ) @ ( pi @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( top_top @ ( fun @ arrow_1384031255e_indi @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( combk @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ arrow_1384031255e_indi ) @ arrow_638930832le_Lin ) ) )
= $true ),
inference(copy,[status(thm)],[208]) ).
thf(473,plain,
( ( ! [X_a: $i,X_b: $i,X_2: $i,F: $i,A_1: $i,B: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ X_a @ X_b ) @ bool ) @ bool @ ( hAPP @ ( fun @ X_a @ X_b ) @ ( fun @ ( fun @ ( fun @ X_a @ X_b ) @ bool ) @ bool ) @ ( member @ ( fun @ X_a @ X_b ) ) @ F ) @ ( hAPP @ ( fun @ X_a @ ( fun @ X_b @ bool ) ) @ ( fun @ ( fun @ X_a @ X_b ) @ bool ) @ ( hAPP @ ( fun @ X_a @ bool ) @ ( fun @ ( fun @ X_a @ ( fun @ X_b @ bool ) ) @ ( fun @ ( fun @ X_a @ X_b ) @ bool ) ) @ ( pi @ X_a @ X_b ) @ A_1 ) @ ( hAPP @ ( fun @ X_b @ bool ) @ ( fun @ X_a @ ( fun @ X_b @ bool ) ) @ ( combk @ ( fun @ X_b @ bool ) @ X_a ) @ B ) ) ) )
=> ( ( hBOOL @ ( hAPP @ ( fun @ X_a @ bool ) @ bool @ ( hAPP @ X_a @ ( fun @ ( fun @ X_a @ bool ) @ bool ) @ ( member @ X_a ) @ X_2 ) @ A_1 ) )
=> ( hBOOL @ ( hAPP @ ( fun @ X_b @ bool ) @ bool @ ( hAPP @ X_b @ ( fun @ ( fun @ X_b @ bool ) @ bool ) @ ( member @ X_b ) @ ( hAPP @ X_a @ X_b @ F @ X_2 ) ) @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[207]) ).
thf(474,plain,
( ( ! [X_a: $i,A_1: $i] : ( hBOOL @ ( hAPP @ ( fun @ ( fun @ X_a @ X_a ) @ bool ) @ bool @ ( hAPP @ ( fun @ X_a @ X_a ) @ ( fun @ ( fun @ ( fun @ X_a @ X_a ) @ bool ) @ bool ) @ ( member @ ( fun @ X_a @ X_a ) ) @ ( combi @ X_a ) ) @ ( hAPP @ ( fun @ X_a @ ( fun @ X_a @ bool ) ) @ ( fun @ ( fun @ X_a @ X_a ) @ bool ) @ ( hAPP @ ( fun @ X_a @ bool ) @ ( fun @ ( fun @ X_a @ ( fun @ X_a @ bool ) ) @ ( fun @ ( fun @ X_a @ X_a ) @ bool ) ) @ ( pi @ X_a @ X_a ) @ A_1 ) @ ( hAPP @ ( fun @ X_a @ bool ) @ ( fun @ X_a @ ( fun @ X_a @ bool ) ) @ ( combk @ ( fun @ X_a @ bool ) @ X_a ) @ A_1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[206]) ).
thf(475,plain,
( ( ! [Fa: $i,I_1: $i] :
( ( hBOOL @ ( hAPP @ arrow_1384031255e_indi @ bool @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ bool ) @ arrow_1990387629ctator @ Fa ) @ I_1 ) )
<=> ! [X_1: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ X_1 ) @ arrow_1834574746e_Prof ) )
=> ( ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ Fa @ X_1 )
= ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ X_1 @ I_1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[205]) ).
thf(476,plain,
( ( ! [X_a: $i,X_b: $i,A_1: $i] :
( ( hAPP @ ( fun @ X_a @ ( fun @ X_b @ bool ) ) @ ( fun @ ( fun @ X_a @ X_b ) @ bool ) @ ( hAPP @ ( fun @ X_a @ bool ) @ ( fun @ ( fun @ X_a @ ( fun @ X_b @ bool ) ) @ ( fun @ ( fun @ X_a @ X_b ) @ bool ) ) @ ( pi @ X_a @ X_b ) @ A_1 ) @ ( hAPP @ ( fun @ X_b @ bool ) @ ( fun @ X_a @ ( fun @ X_b @ bool ) ) @ ( combk @ ( fun @ X_b @ bool ) @ X_a ) @ ( top_top @ ( fun @ X_b @ bool ) ) ) )
= ( top_top @ ( fun @ ( fun @ X_a @ X_b ) @ bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[204]) ).
thf(477,plain,
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( ord_less @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_992993526_mktop ) @ p ) ) @ e ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( fequal @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ arrow_1726925404_above ) @ p ) ) @ c ) ) @ e ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_844286440_mkbot ) @ p ) ) @ e ) ) ) ) ) )
<=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combc @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( ord_less @ nat ) ) @ h ) ) @ n ) ) ) @ lab ) ) @ lba ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[203]) ).
thf(478,plain,
( ( ! [I: $i] :
( ( ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ I ) ) @ n ) )
=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ I ) ) @ e ) ) ) )
& ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ I ) ) @ n ) )
=> ( ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ I )
= n )
=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ I ) ) @ c ) @ e ) ) ) )
& ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ I )
!= n )
=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ I ) ) @ e ) ) ) ) ) ) )
<=> ( ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ I ) ) @ n ) )
=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
& ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ I ) ) @ n ) )
=> ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[202]) ).
thf(479,plain,
( ( a != b )
= $true ),
inference(copy,[status(thm)],[201]) ).
thf(480,plain,
( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) )
= $true ),
inference(copy,[status(thm)],[200]) ).
thf(481,plain,
( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ a ) @ b ) ) @ lab ) )
= $true ),
inference(copy,[status(thm)],[199]) ).
thf(482,plain,
( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ a ) @ b ) ) @ lba ) ) )
= $true ),
inference(copy,[status(thm)],[198]) ).
thf(483,plain,
( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
= $true ),
inference(copy,[status(thm)],[197]) ).
thf(484,plain,
( ( ! [T_2: $i,T_1: $i] :
( ( preorder @ T_1 )
=> ( preorder @ ( fun @ T_2 @ T_1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[196]) ).
thf(485,plain,
( ( ! [T_2: $i,T_1: $i] :
( ( order @ T_1 )
=> ( order @ ( fun @ T_2 @ T_1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[195]) ).
thf(486,plain,
( ( ! [T_2: $i,T_1: $i] :
( ( top @ T_1 )
=> ( top @ ( fun @ T_2 @ T_1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[194]) ).
thf(487,plain,
( ( ! [T_2: $i,T_1: $i] :
( ( ord @ T_1 )
=> ( ord @ ( fun @ T_2 @ T_1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[193]) ).
thf(488,plain,
( ( preorder @ nat )
= $true ),
inference(copy,[status(thm)],[192]) ).
thf(489,plain,
( ( linorder @ nat )
= $true ),
inference(copy,[status(thm)],[191]) ).
thf(490,plain,
( ( order @ nat )
= $true ),
inference(copy,[status(thm)],[190]) ).
thf(491,plain,
( ( ord @ nat )
= $true ),
inference(copy,[status(thm)],[189]) ).
thf(492,plain,
( ( preorder @ bool )
= $true ),
inference(copy,[status(thm)],[188]) ).
thf(493,plain,
( ( order @ bool )
= $true ),
inference(copy,[status(thm)],[187]) ).
thf(494,plain,
( ( top @ bool )
= $true ),
inference(copy,[status(thm)],[186]) ).
thf(495,plain,
( ( ord @ bool )
= $true ),
inference(copy,[status(thm)],[185]) ).
thf(496,plain,
( ( ! [T: $i,A: $i] :
( ( ti @ T @ ( ti @ T @ A ) )
= ( ti @ T @ A ) ) )
= $true ),
inference(copy,[status(thm)],[184]) ).
thf(497,plain,
( ( ! [X_a: $i,X: $i,Y: $i] :
( ( hAPP @ X_a @ X_a @ ( hAPP @ X_a @ ( fun @ X_a @ X_a ) @ ( hAPP @ bool @ ( fun @ X_a @ ( fun @ X_a @ X_a ) ) @ ( if @ X_a ) @ fTrue ) @ X ) @ Y )
= ( ti @ X_a @ X ) ) )
= $true ),
inference(copy,[status(thm)],[183]) ).
thf(498,plain,
( ( ! [X_a: $i,X: $i,Y: $i] :
( ( hAPP @ X_a @ X_a @ ( hAPP @ X_a @ ( fun @ X_a @ X_a ) @ ( hAPP @ bool @ ( fun @ X_a @ ( fun @ X_a @ X_a ) ) @ ( if @ X_a ) @ fFalse ) @ X ) @ Y )
= ( ti @ X_a @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[182]) ).
thf(499,plain,
( ( ! [P: $i] :
( ( ( ti @ bool @ P )
= fTrue )
| ( ( ti @ bool @ P )
= fFalse ) ) )
= $true ),
inference(copy,[status(thm)],[181]) ).
thf(500,plain,
( ( ! [X_a: $i,X_c: $i,X_b: $i,P: $i,Q: $i,R: $i] :
( ( hAPP @ X_a @ X_c @ ( hAPP @ ( fun @ X_a @ X_b ) @ ( fun @ X_a @ X_c ) @ ( hAPP @ ( fun @ X_b @ X_c ) @ ( fun @ ( fun @ X_a @ X_b ) @ ( fun @ X_a @ X_c ) ) @ ( combb @ X_b @ X_c @ X_a ) @ P ) @ Q ) @ R )
= ( hAPP @ X_b @ X_c @ P @ ( hAPP @ X_a @ X_b @ Q @ R ) ) ) )
= $true ),
inference(copy,[status(thm)],[180]) ).
thf(501,plain,
( ( ! [X_a: $i,X_c: $i,X_b: $i,P: $i,Q: $i,R: $i] :
( ( hAPP @ X_a @ X_c @ ( hAPP @ X_b @ ( fun @ X_a @ X_c ) @ ( hAPP @ ( fun @ X_a @ ( fun @ X_b @ X_c ) ) @ ( fun @ X_b @ ( fun @ X_a @ X_c ) ) @ ( combc @ X_a @ X_b @ X_c ) @ P ) @ Q ) @ R )
= ( hAPP @ X_b @ X_c @ ( hAPP @ X_a @ ( fun @ X_b @ X_c ) @ P @ R ) @ Q ) ) )
= $true ),
inference(copy,[status(thm)],[179]) ).
thf(502,plain,
( ( ! [X_a: $i,P: $i] :
( ( hAPP @ X_a @ X_a @ ( combi @ X_a ) @ P )
= ( ti @ X_a @ P ) ) )
= $true ),
inference(copy,[status(thm)],[178]) ).
thf(503,plain,
( ( ! [X_b: $i,X_a: $i,P: $i,Q: $i] :
( ( hAPP @ X_b @ X_a @ ( hAPP @ X_a @ ( fun @ X_b @ X_a ) @ ( combk @ X_a @ X_b ) @ P ) @ Q )
= ( ti @ X_a @ P ) ) )
= $true ),
inference(copy,[status(thm)],[177]) ).
thf(504,plain,
( ( ! [X_a: $i,X_c: $i,X_b: $i,P: $i,Q: $i,R: $i] :
( ( hAPP @ X_a @ X_c @ ( hAPP @ ( fun @ X_a @ X_b ) @ ( fun @ X_a @ X_c ) @ ( hAPP @ ( fun @ X_a @ ( fun @ X_b @ X_c ) ) @ ( fun @ ( fun @ X_a @ X_b ) @ ( fun @ X_a @ X_c ) ) @ ( combs @ X_a @ X_b @ X_c ) @ P ) @ Q ) @ R )
= ( hAPP @ X_b @ X_c @ ( hAPP @ X_a @ ( fun @ X_b @ X_c ) @ P @ R ) @ ( hAPP @ X_a @ X_b @ Q @ R ) ) ) )
= $true ),
inference(copy,[status(thm)],[176]) ).
thf(505,plain,
( ( hBOOL @ fTrue )
= $true ),
inference(copy,[status(thm)],[175]) ).
thf(506,plain,
( ( ! [P: $i] :
( ( ( ti @ bool @ P )
= fTrue )
| ( ( ti @ bool @ P )
= fFalse ) ) )
= $true ),
inference(copy,[status(thm)],[174]) ).
thf(507,plain,
( ( ! [X_a: $i,X: $i,Y: $i] :
( ~ ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( fequal @ X_a ) @ X ) @ Y ) )
| ( ( ti @ X_a @ X )
= ( ti @ X_a @ Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[173]) ).
thf(508,plain,
( ( ! [X_a: $i,X: $i,Y: $i] :
( ( ( ti @ X_a @ X )
!= ( ti @ X_a @ Y ) )
| ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( fequal @ X_a ) @ X ) @ Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[172]) ).
thf(509,plain,
( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ p ) ) ) )
= $true ),
inference(copy,[status(thm)],[340]) ).
thf(510,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SX0 @ bool ) @ bool @ ( hAPP @ ( fun @ SX0 @ SX1 ) @ ( fun @ ( fun @ SX0 @ bool ) @ bool ) @ ( inj_on @ SX0 @ SX1 ) @ SX4 ) @ ( top_top @ ( fun @ SX0 @ bool ) ) ) )
| ( ( hAPP @ SX0 @ SX1 @ SX4 @ SX2 )
!= ( hAPP @ SX0 @ SX1 @ SX4 @ SX3 ) )
| ( ( ti @ SX0 @ SX2 )
= ( ti @ SX0 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[451]) ).
thf(511,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( ( ( ti @ arrow_1212486748le_alt @ SX0 )
!= ( ti @ arrow_1212486748le_alt @ SX1 ) ) )
| ~ ! [SX2: $i] :
~ ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SX2 ) @ arrow_638930832le_Lin ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX0 ) @ SX1 ) ) @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[469]) ).
thf(512,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( top @ SX1 )
| ( top @ ( fun @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[486]) ).
thf(513,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_1932713123nimity @ SX0 ) )
| ! [SX1: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SX1 ) @ arrow_1834574746e_Prof ) )
| ! [SX2: $i,SX3: $i] :
( ~ ! [SX4: $i] : ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX2 ) @ SX3 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SX1 @ SX4 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX2 ) @ SX3 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SX0 @ SX1 ) ) ) ) ) )
| ~ ( ~ ! [SX1: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SX1 ) @ arrow_1834574746e_Prof ) )
| ! [SX2: $i,SX3: $i] :
( ~ ! [SX4: $i] : ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX2 ) @ SX3 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SX1 @ SX4 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX2 ) @ SX3 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SX0 @ SX1 ) ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_1932713123nimity @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[408]) ).
thf(514,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SX1 @ bool ) @ bool @ ( hAPP @ ( fun @ SX1 @ SX2 ) @ ( fun @ ( fun @ SX1 @ bool ) @ bool ) @ ( inj_on @ SX1 @ SX2 ) @ SX3 ) @ ( top_top @ ( fun @ SX1 @ bool ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ SX1 @ bool ) @ bool @ ( hAPP @ ( fun @ SX1 @ ( fun @ SX0 @ SX2 ) ) @ ( fun @ ( fun @ SX1 @ bool ) @ bool ) @ ( inj_on @ SX1 @ ( fun @ SX0 @ SX2 ) ) @ ( hAPP @ ( fun @ SX1 @ SX2 ) @ ( fun @ SX1 @ ( fun @ SX0 @ SX2 ) ) @ ( hAPP @ ( fun @ SX2 @ ( fun @ SX0 @ SX2 ) ) @ ( fun @ ( fun @ SX1 @ SX2 ) @ ( fun @ SX1 @ ( fun @ SX0 @ SX2 ) ) ) @ ( combb @ SX2 @ ( fun @ SX0 @ SX2 ) @ SX1 ) @ ( combk @ SX2 @ SX0 ) ) @ SX3 ) ) @ ( top_top @ ( fun @ SX1 @ bool ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[442]) ).
thf(515,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SX1 ) @ arrow_638930832le_Lin ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ SX1 ) @ SX0 ) ) @ arrow_638930832le_Lin ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[462]) ).
thf(516,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ SX0 @ SX1 ) @ bool ) @ bool @ ( hAPP @ ( fun @ SX0 @ SX1 ) @ ( fun @ ( fun @ ( fun @ SX0 @ SX1 ) @ bool ) @ bool ) @ ( member @ ( fun @ SX0 @ SX1 ) ) @ SX3 ) @ ( hAPP @ ( fun @ SX0 @ ( fun @ SX1 @ bool ) ) @ ( fun @ ( fun @ SX0 @ SX1 ) @ bool ) @ ( hAPP @ ( fun @ SX0 @ bool ) @ ( fun @ ( fun @ SX0 @ ( fun @ SX1 @ bool ) ) @ ( fun @ ( fun @ SX0 @ SX1 ) @ bool ) ) @ ( pi @ SX0 @ SX1 ) @ SX4 ) @ SX5 ) ) )
| ~ ~ ( hBOOL @ ( hAPP @ ( fun @ SX1 @ bool ) @ bool @ ( hAPP @ SX1 @ ( fun @ ( fun @ SX1 @ bool ) @ bool ) @ ( member @ SX1 ) @ ( hAPP @ SX0 @ SX1 @ SX3 @ SX2 ) ) @ ( hAPP @ SX0 @ ( fun @ SX1 @ bool ) @ SX5 @ SX2 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SX0 @ bool ) @ bool @ ( hAPP @ SX0 @ ( fun @ ( fun @ SX0 @ bool ) @ bool ) @ ( member @ SX0 ) @ SX2 ) @ SX4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[468]) ).
thf(517,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ SX0 @ SX1 ) @ bool ) @ bool @ ( hAPP @ ( fun @ SX0 @ SX1 ) @ ( fun @ ( fun @ ( fun @ SX0 @ SX1 ) @ bool ) @ bool ) @ ( member @ ( fun @ SX0 @ SX1 ) ) @ SX3 ) @ ( hAPP @ ( fun @ SX0 @ ( fun @ SX1 @ bool ) ) @ ( fun @ ( fun @ SX0 @ SX1 ) @ bool ) @ ( hAPP @ ( fun @ SX0 @ bool ) @ ( fun @ ( fun @ SX0 @ ( fun @ SX1 @ bool ) ) @ ( fun @ ( fun @ SX0 @ SX1 ) @ bool ) ) @ ( pi @ SX0 @ SX1 ) @ SX4 ) @ SX5 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SX0 @ bool ) @ bool @ ( hAPP @ SX0 @ ( fun @ ( fun @ SX0 @ bool ) @ bool ) @ ( member @ SX0 ) @ SX2 ) @ SX4 ) )
| ( hBOOL @ ( hAPP @ ( fun @ SX1 @ bool ) @ bool @ ( hAPP @ SX1 @ ( fun @ ( fun @ SX1 @ bool ) @ bool ) @ ( member @ SX1 ) @ ( hAPP @ SX0 @ SX1 @ SX3 @ SX2 ) ) @ ( hAPP @ SX0 @ ( fun @ SX1 @ bool ) @ SX5 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[471]) ).
thf(518,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
~ ( ~ ( ( ( hAPP @ SX0 @ ( product_prod @ SX1 @ SX0 ) @ ( hAPP @ SX1 @ ( fun @ SX0 @ ( product_prod @ SX1 @ SX0 ) ) @ ( product_Pair @ SX1 @ SX0 ) @ SX2 ) @ SX3 )
!= ( hAPP @ SX0 @ ( product_prod @ SX1 @ SX0 ) @ ( hAPP @ SX1 @ ( fun @ SX0 @ ( product_prod @ SX1 @ SX0 ) ) @ ( product_Pair @ SX1 @ SX0 ) @ SX4 ) @ SX5 ) )
| ~ ( ( ( ti @ SX1 @ SX2 )
!= ( ti @ SX1 @ SX4 ) )
| ( ( ti @ SX0 @ SX3 )
!= ( ti @ SX0 @ SX5 ) ) ) )
| ~ ( ~ ~ ( ( ( ti @ SX1 @ SX2 )
!= ( ti @ SX1 @ SX4 ) )
| ( ( ti @ SX0 @ SX3 )
!= ( ti @ SX0 @ SX5 ) ) )
| ( ( hAPP @ SX0 @ ( product_prod @ SX1 @ SX0 ) @ ( hAPP @ SX1 @ ( fun @ SX0 @ ( product_prod @ SX1 @ SX0 ) ) @ ( product_Pair @ SX1 @ SX0 ) @ SX2 ) @ SX3 )
= ( hAPP @ SX0 @ ( product_prod @ SX1 @ SX0 ) @ ( hAPP @ SX1 @ ( fun @ SX0 @ ( product_prod @ SX1 @ SX0 ) ) @ ( product_Pair @ SX1 @ SX0 ) @ SX4 ) @ SX5 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[406]) ).
thf(519,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SX1 ) @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) ) @ ( pi @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1834574746e_Prof ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( combk @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_638930832le_Lin ) ) ) )
| ~ ! [SX2: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SX2 ) @ arrow_1834574746e_Prof ) )
| ! [SX3: $i,SX4: $i] :
( ~ ( ( ( ti @ arrow_1212486748le_alt @ SX3 )
!= ( ti @ arrow_1212486748le_alt @ SX4 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX3 ) @ SX4 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SX2 @ SX0 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX3 ) @ SX4 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SX1 @ SX2 ) ) ) ) )
| ( hBOOL @ ( hAPP @ arrow_1384031255e_indi @ bool @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ bool ) @ arrow_1990387629ctator @ SX1 ) @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[467]) ).
thf(520,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
~ ( ~ ( ~ ! [SX4: $i,SX5: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SX0 @ SX1 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SX0 @ SX1 ) @ ( fun @ ( fun @ ( product_prod @ SX0 @ SX1 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SX0 @ SX1 ) ) @ ( hAPP @ SX1 @ ( product_prod @ SX0 @ SX1 ) @ ( hAPP @ SX0 @ ( fun @ SX1 @ ( product_prod @ SX0 @ SX1 ) ) @ ( product_Pair @ SX0 @ SX1 ) @ SX4 ) @ SX5 ) ) @ SX3 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SX0 @ SX1 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SX0 @ SX1 ) @ ( fun @ ( fun @ ( product_prod @ SX0 @ SX1 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SX0 @ SX1 ) ) @ ( hAPP @ SX1 @ ( product_prod @ SX0 @ SX1 ) @ ( hAPP @ SX0 @ ( fun @ SX1 @ ( product_prod @ SX0 @ SX1 ) ) @ ( product_Pair @ SX0 @ SX1 ) @ SX4 ) @ SX5 ) ) @ SX2 ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SX0 @ SX1 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SX0 @ SX1 ) @ ( fun @ ( fun @ ( product_prod @ SX0 @ SX1 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SX0 @ SX1 ) ) @ ( hAPP @ SX1 @ ( product_prod @ SX0 @ SX1 ) @ ( hAPP @ SX0 @ ( fun @ SX1 @ ( product_prod @ SX0 @ SX1 ) ) @ ( product_Pair @ SX0 @ SX1 ) @ SX4 ) @ SX5 ) ) @ SX2 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SX0 @ SX1 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SX0 @ SX1 ) @ ( fun @ ( fun @ ( product_prod @ SX0 @ SX1 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SX0 @ SX1 ) ) @ ( hAPP @ SX1 @ ( product_prod @ SX0 @ SX1 ) @ ( hAPP @ SX0 @ ( fun @ SX1 @ ( product_prod @ SX0 @ SX1 ) ) @ ( product_Pair @ SX0 @ SX1 ) @ SX4 ) @ SX5 ) ) @ SX3 ) ) ) )
| ( ( ti @ ( fun @ ( product_prod @ SX0 @ SX1 ) @ bool ) @ SX3 )
= ( ti @ ( fun @ ( product_prod @ SX0 @ SX1 ) @ bool ) @ SX2 ) ) )
| ~ ( ( ( ti @ ( fun @ ( product_prod @ SX0 @ SX1 ) @ bool ) @ SX3 )
!= ( ti @ ( fun @ ( product_prod @ SX0 @ SX1 ) @ bool ) @ SX2 ) )
| ! [SX4: $i,SX5: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SX0 @ SX1 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SX0 @ SX1 ) @ ( fun @ ( fun @ ( product_prod @ SX0 @ SX1 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SX0 @ SX1 ) ) @ ( hAPP @ SX1 @ ( product_prod @ SX0 @ SX1 ) @ ( hAPP @ SX0 @ ( fun @ SX1 @ ( product_prod @ SX0 @ SX1 ) ) @ ( product_Pair @ SX0 @ SX1 ) @ SX4 ) @ SX5 ) ) @ SX3 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SX0 @ SX1 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SX0 @ SX1 ) @ ( fun @ ( fun @ ( product_prod @ SX0 @ SX1 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SX0 @ SX1 ) ) @ ( hAPP @ SX1 @ ( product_prod @ SX0 @ SX1 ) @ ( hAPP @ SX0 @ ( fun @ SX1 @ ( product_prod @ SX0 @ SX1 ) ) @ ( product_Pair @ SX0 @ SX1 ) @ SX4 ) @ SX5 ) ) @ SX2 ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SX0 @ SX1 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SX0 @ SX1 ) @ ( fun @ ( fun @ ( product_prod @ SX0 @ SX1 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SX0 @ SX1 ) ) @ ( hAPP @ SX1 @ ( product_prod @ SX0 @ SX1 ) @ ( hAPP @ SX0 @ ( fun @ SX1 @ ( product_prod @ SX0 @ SX1 ) ) @ ( product_Pair @ SX0 @ SX1 ) @ SX4 ) @ SX5 ) ) @ SX2 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SX0 @ SX1 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SX0 @ SX1 ) @ ( fun @ ( fun @ ( product_prod @ SX0 @ SX1 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SX0 @ SX1 ) ) @ ( hAPP @ SX1 @ ( product_prod @ SX0 @ SX1 ) @ ( hAPP @ SX0 @ ( fun @ SX1 @ ( product_prod @ SX0 @ SX1 ) ) @ ( product_Pair @ SX0 @ SX1 ) @ SX4 ) @ SX5 ) ) @ SX3 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[438]) ).
thf(521,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ~ ( ( ( ti @ arrow_1212486748le_alt @ SX3 )
!= ( ti @ arrow_1212486748le_alt @ SX4 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SX2 ) @ arrow_638930832le_Lin ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX0 ) @ SX1 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SX2 ) @ SX3 ) @ SX4 ) ) )
| ~ ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SX0 )
!= ( ti @ arrow_1212486748le_alt @ SX1 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SX0 )
!= ( ti @ arrow_1212486748le_alt @ SX4 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX3 ) @ SX1 ) ) @ SX2 ) ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SX0 )
!= ( ti @ arrow_1212486748le_alt @ SX4 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SX1 )
!= ( ti @ arrow_1212486748le_alt @ SX4 ) )
| ( ( ti @ arrow_1212486748le_alt @ SX0 )
= ( ti @ arrow_1212486748le_alt @ SX3 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX0 ) @ SX3 ) ) @ SX2 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SX1 )
!= ( ti @ arrow_1212486748le_alt @ SX4 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX0 ) @ SX1 ) ) @ SX2 ) ) ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SX0 )
!= ( ti @ arrow_1212486748le_alt @ SX1 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SX0 )
!= ( ti @ arrow_1212486748le_alt @ SX4 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX3 ) @ SX1 ) ) @ SX2 ) ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SX0 )
!= ( ti @ arrow_1212486748le_alt @ SX4 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SX1 )
!= ( ti @ arrow_1212486748le_alt @ SX4 ) )
| ( ( ti @ arrow_1212486748le_alt @ SX0 )
= ( ti @ arrow_1212486748le_alt @ SX3 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX0 ) @ SX3 ) ) @ SX2 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SX1 )
!= ( ti @ arrow_1212486748le_alt @ SX4 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX0 ) @ SX1 ) ) @ SX2 ) ) ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX0 ) @ SX1 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SX2 ) @ SX3 ) @ SX4 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[466]) ).
thf(522,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SX0 @ bool ) @ bool @ ( hAPP @ ( fun @ SX0 @ SX1 ) @ ( fun @ ( fun @ SX0 @ bool ) @ bool ) @ ( inj_on @ SX0 @ SX1 ) @ SX4 ) @ ( top_top @ ( fun @ SX0 @ bool ) ) ) )
| ~ ( ~ ( ( ( hAPP @ SX0 @ SX1 @ SX4 @ SX2 )
!= ( hAPP @ SX0 @ SX1 @ SX4 @ SX3 ) )
| ( ( ti @ SX0 @ SX2 )
= ( ti @ SX0 @ SX3 ) ) )
| ~ ( ( ( ti @ SX0 @ SX2 )
!= ( ti @ SX0 @ SX3 ) )
| ( ( hAPP @ SX0 @ SX1 @ SX4 @ SX2 )
= ( hAPP @ SX0 @ SX1 @ SX4 @ SX3 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[445]) ).
thf(523,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ SX0 @ SX1 ) @ bool ) @ bool @ ( hAPP @ ( fun @ SX0 @ SX1 ) @ ( fun @ ( fun @ ( fun @ SX0 @ SX1 ) @ bool ) @ bool ) @ ( member @ ( fun @ SX0 @ SX1 ) ) @ SX3 ) @ ( hAPP @ ( fun @ SX0 @ ( fun @ SX1 @ bool ) ) @ ( fun @ ( fun @ SX0 @ SX1 ) @ bool ) @ ( hAPP @ ( fun @ SX0 @ bool ) @ ( fun @ ( fun @ SX0 @ ( fun @ SX1 @ bool ) ) @ ( fun @ ( fun @ SX0 @ SX1 ) @ bool ) ) @ ( pi @ SX0 @ SX1 ) @ SX4 ) @ ( hAPP @ ( fun @ SX1 @ bool ) @ ( fun @ SX0 @ ( fun @ SX1 @ bool ) ) @ ( combk @ ( fun @ SX1 @ bool ) @ SX0 ) @ SX5 ) ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SX0 @ bool ) @ bool @ ( hAPP @ SX0 @ ( fun @ ( fun @ SX0 @ bool ) @ bool ) @ ( member @ SX0 ) @ SX2 ) @ SX4 ) )
| ( hBOOL @ ( hAPP @ ( fun @ SX1 @ bool ) @ bool @ ( hAPP @ SX1 @ ( fun @ ( fun @ SX1 @ bool ) @ bool ) @ ( member @ SX1 ) @ ( hAPP @ SX0 @ SX1 @ SX3 @ SX2 ) ) @ SX5 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[473]) ).
thf(524,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
( ~ ( ( ( ti @ arrow_1212486748le_alt @ SX4 )
!= ( ti @ arrow_1212486748le_alt @ SX5 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SX2 )
!= ( ti @ arrow_1212486748le_alt @ SX3 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SX1 ) @ arrow_1834574746e_Prof ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SX0 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SX6: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX4 ) @ SX5 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SX1 @ SX6 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX2 ) @ SX3 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SX0 @ SX6 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX2 ) @ SX3 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SX0 @ SX6 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX4 ) @ SX5 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SX1 @ SX6 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX4 ) @ SX5 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SX1 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX2 ) @ SX3 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SX0 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX2 ) @ SX3 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SX0 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX4 ) @ SX5 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SX1 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[393]) ).
thf(525,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ( hBOOL @ ( ti @ bool @ SX0 ) )
| ( hBOOL @ SX0 ) )
| ~ ( ~ ( hBOOL @ SX0 )
| ( hBOOL @ ( ti @ bool @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[341]) ).
thf(526,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SX0 @ bool ) @ bool @ ( hAPP @ ( fun @ SX0 @ SX1 ) @ ( fun @ ( fun @ SX0 @ bool ) @ bool ) @ ( inj_on @ SX0 @ SX1 ) @ SX3 ) @ SX4 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SX0 @ bool ) @ bool @ ( hAPP @ SX0 @ ( fun @ ( fun @ SX0 @ bool ) @ bool ) @ ( member @ SX0 ) @ SX2 ) @ SX4 ) )
| ( ( hAPP @ SX1 @ SX0 @ ( hAPP @ ( fun @ SX0 @ SX1 ) @ ( fun @ SX1 @ SX0 ) @ ( hAPP @ ( fun @ SX0 @ bool ) @ ( fun @ ( fun @ SX0 @ SX1 ) @ ( fun @ SX1 @ SX0 ) ) @ ( hilbert_inv_into @ SX0 @ SX1 ) @ SX4 ) @ SX3 ) @ ( hAPP @ SX0 @ SX1 @ SX3 @ SX2 ) )
= ( ti @ SX0 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[443]) ).
thf(527,plain,
( ( ! [SX0: $i] :
( ~ ( ord @ SX0 )
| ! [SX1: $i,SX2: $i,SX3: $i] :
( ( SX2 != SX3 )
| ~ ( hBOOL @ ( hAPP @ SX0 @ bool @ ( hAPP @ SX0 @ ( fun @ SX0 @ bool ) @ ( ord_less @ SX0 ) @ SX3 ) @ SX1 ) )
| ( hBOOL @ ( hAPP @ SX0 @ bool @ ( hAPP @ SX0 @ ( fun @ SX0 @ bool ) @ ( ord_less @ SX0 ) @ SX2 ) @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[422]) ).
thf(528,plain,
( ( ! [SX0: $i] :
( ~ ( preorder @ SX0 )
| ! [SX1: $i] :
~ ( hBOOL @ ( hAPP @ SX0 @ bool @ ( hAPP @ SX0 @ ( fun @ SX0 @ bool ) @ ( ord_less @ SX0 ) @ SX1 ) @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[436]) ).
thf(529,plain,
( ( a != b )
= $true ),
inference(unfold_def,[status(thm)],[479]) ).
thf(530,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ( ( ( ti @ arrow_1212486748le_alt @ SX2 )
!= ( ti @ arrow_1212486748le_alt @ SX3 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SX1 ) @ arrow_1834574746e_Prof ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SX0 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SX4: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX2 ) @ SX3 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SX1 @ SX4 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX3 ) @ SX2 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SX0 @ SX4 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX3 ) @ SX2 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SX0 @ SX4 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX2 ) @ SX3 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SX1 @ SX4 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX2 ) @ SX3 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SX1 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX3 ) @ SX2 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SX0 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX3 ) @ SX2 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SX0 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX2 ) @ SX3 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SX1 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[394]) ).
thf(531,plain,
( ( ! [SX0: $i] :
( ~ ( preorder @ SX0 )
| ! [SX1: $i,SX2: $i] :
( ~ ( hBOOL @ ( hAPP @ SX0 @ bool @ ( hAPP @ SX0 @ ( fun @ SX0 @ bool ) @ ( ord_less @ SX0 ) @ SX1 ) @ SX2 ) )
| ~ ( hBOOL @ ( hAPP @ SX0 @ bool @ ( hAPP @ SX0 @ ( fun @ SX0 @ bool ) @ ( ord_less @ SX0 ) @ SX2 ) @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[424]) ).
thf(532,plain,
( ( ! [SX0: $i] :
( ~ ( order @ SX0 )
| ! [SX1: $i,SX2: $i] :
( ~ ( hBOOL @ ( hAPP @ SX0 @ bool @ ( hAPP @ SX0 @ ( fun @ SX0 @ bool ) @ ( ord_less @ SX0 ) @ SX1 ) @ SX2 ) )
| ~ ( hBOOL @ ( hAPP @ SX0 @ bool @ ( hAPP @ SX0 @ ( fun @ SX0 @ bool ) @ ( ord_less @ SX0 ) @ SX2 ) @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[423]) ).
thf(533,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SX0 @ bool ) @ bool @ ( hAPP @ ( fun @ SX0 @ SX1 ) @ ( fun @ ( fun @ SX0 @ bool ) @ bool ) @ ( inj_on @ SX0 @ SX1 ) @ SX4 ) @ ( top_top @ ( fun @ SX0 @ bool ) ) ) )
| ( ( hAPP @ SX0 @ SX1 @ SX4 @ SX2 )
!= ( ti @ SX1 @ SX3 ) )
| ( ( hAPP @ SX1 @ SX0 @ ( hAPP @ ( fun @ SX0 @ SX1 ) @ ( fun @ SX1 @ SX0 ) @ ( hAPP @ ( fun @ SX0 @ bool ) @ ( fun @ ( fun @ SX0 @ SX1 ) @ ( fun @ SX1 @ SX0 ) ) @ ( hilbert_inv_into @ SX0 @ SX1 ) @ ( top_top @ ( fun @ SX0 @ bool ) ) ) @ SX4 ) @ SX3 )
= ( ti @ SX0 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[440]) ).
thf(534,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( top @ SX1 )
| ! [SX2: $i] :
( ( hAPP @ SX0 @ SX1 @ ( top_top @ ( fun @ SX0 @ SX1 ) ) @ SX2 )
= ( top_top @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[413]) ).
thf(535,plain,
( ( ! [SX0: $i] :
( ~ ( preorder @ SX0 )
| ! [SX1: $i,SX2: $i,SX3: $i] :
( ~ ( hBOOL @ ( hAPP @ SX0 @ bool @ ( hAPP @ SX0 @ ( fun @ SX0 @ bool ) @ ( ord_less @ SX0 ) @ SX2 ) @ SX3 ) )
| ~ ( hBOOL @ ( hAPP @ SX0 @ bool @ ( hAPP @ SX0 @ ( fun @ SX0 @ bool ) @ ( ord_less @ SX0 ) @ SX3 ) @ SX1 ) )
| ( hBOOL @ ( hAPP @ SX0 @ bool @ ( hAPP @ SX0 @ ( fun @ SX0 @ bool ) @ ( ord_less @ SX0 ) @ SX2 ) @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[418]) ).
thf(536,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
( ( ( hAPP @ SX0 @ ( product_prod @ SX1 @ SX0 ) @ ( hAPP @ SX1 @ ( fun @ SX0 @ ( product_prod @ SX1 @ SX0 ) ) @ ( product_Pair @ SX1 @ SX0 ) @ SX2 ) @ SX3 )
!= ( hAPP @ SX0 @ ( product_prod @ SX1 @ SX0 ) @ ( hAPP @ SX1 @ ( fun @ SX0 @ ( product_prod @ SX1 @ SX0 ) ) @ ( product_Pair @ SX1 @ SX0 ) @ SX4 ) @ SX5 ) )
| ~ ( ( ( ti @ SX1 @ SX2 )
!= ( ti @ SX1 @ SX4 ) )
| ( ( ti @ SX0 @ SX3 )
!= ( ti @ SX0 @ SX5 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[405]) ).
thf(537,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SX1 ) @ arrow_638930832le_Lin ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ SX1 ) @ SX0 ) ) @ arrow_638930832le_Lin ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[463]) ).
thf(538,plain,
( ( ! [SX0: $i] :
( ~ ( linorder @ SX0 )
| ! [SX1: $i,SX2: $i] :
~ ( ~ ( ~ ( ( ( ti @ SX0 @ SX1 )
!= ( ti @ SX0 @ SX2 ) ) )
| ( hBOOL @ ( hAPP @ SX0 @ bool @ ( hAPP @ SX0 @ ( fun @ SX0 @ bool ) @ ( ord_less @ SX0 ) @ SX1 ) @ SX2 ) )
| ( hBOOL @ ( hAPP @ SX0 @ bool @ ( hAPP @ SX0 @ ( fun @ SX0 @ bool ) @ ( ord_less @ SX0 ) @ SX2 ) @ SX1 ) ) )
| ~ ( ~ ( ( hBOOL @ ( hAPP @ SX0 @ bool @ ( hAPP @ SX0 @ ( fun @ SX0 @ bool ) @ ( ord_less @ SX0 ) @ SX1 ) @ SX2 ) )
| ( hBOOL @ ( hAPP @ SX0 @ bool @ ( hAPP @ SX0 @ ( fun @ SX0 @ bool ) @ ( ord_less @ SX0 ) @ SX2 ) @ SX1 ) ) )
| ( ( ti @ SX0 @ SX1 )
!= ( ti @ SX0 @ SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[435]) ).
thf(539,plain,
( ( ! [SX0: $i] :
( ~ ( order @ SX0 )
| ! [SX1: $i,SX2: $i,SX3: $i] :
( ~ ( hBOOL @ ( hAPP @ SX0 @ bool @ ( hAPP @ SX0 @ ( fun @ SX0 @ bool ) @ ( ord_less @ SX0 ) @ SX2 ) @ SX3 ) )
| ( SX2 != SX1 )
| ( hBOOL @ ( hAPP @ SX0 @ bool @ ( hAPP @ SX0 @ ( fun @ SX0 @ bool ) @ ( ord_less @ SX0 ) @ SX1 ) @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[419]) ).
thf(540,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SX0 @ bool ) @ bool @ ( hAPP @ ( fun @ SX0 @ SX1 ) @ ( fun @ ( fun @ SX0 @ bool ) @ bool ) @ ( inj_on @ SX0 @ SX1 ) @ SX4 ) @ SX5 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SX0 @ bool ) @ bool @ ( hAPP @ SX0 @ ( fun @ ( fun @ SX0 @ bool ) @ bool ) @ ( member @ SX0 ) @ SX3 ) @ SX5 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SX0 @ bool ) @ bool @ ( hAPP @ SX0 @ ( fun @ ( fun @ SX0 @ bool ) @ bool ) @ ( member @ SX0 ) @ SX2 ) @ SX5 ) )
| ~ ( ~ ( ( ( hAPP @ SX0 @ SX1 @ SX4 @ SX3 )
!= ( hAPP @ SX0 @ SX1 @ SX4 @ SX2 ) )
| ( ( ti @ SX0 @ SX3 )
= ( ti @ SX0 @ SX2 ) ) )
| ~ ( ( ( ti @ SX0 @ SX3 )
!= ( ti @ SX0 @ SX2 ) )
| ( ( hAPP @ SX0 @ SX1 @ SX4 @ SX3 )
= ( hAPP @ SX0 @ SX1 @ SX4 @ SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[448]) ).
thf(541,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ arrow_1384031255e_indi @ bool @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ bool ) @ arrow_1990387629ctator @ SX0 ) @ SX1 ) )
| ! [SX2: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SX2 ) @ arrow_1834574746e_Prof ) )
| ( ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SX0 @ SX2 )
= ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SX2 @ SX1 ) ) ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SX2 ) @ arrow_1834574746e_Prof ) )
| ( ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SX0 @ SX2 )
= ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SX2 @ SX1 ) ) )
| ( hBOOL @ ( hAPP @ arrow_1384031255e_indi @ bool @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ bool ) @ arrow_1990387629ctator @ SX0 ) @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[475]) ).
thf(542,plain,
( ( ! [SX0: $i] :
( ~ ( linorder @ SX0 )
| ! [SX1: $i,SX2: $i] :
( ~ ( ( ( ti @ SX0 @ SX1 )
!= ( ti @ SX0 @ SX2 ) ) )
| ~ ~ ( hBOOL @ ( hAPP @ SX0 @ bool @ ( hAPP @ SX0 @ ( fun @ SX0 @ bool ) @ ( ord_less @ SX0 ) @ SX1 ) @ SX2 ) )
| ( hBOOL @ ( hAPP @ SX0 @ bool @ ( hAPP @ SX0 @ ( fun @ SX0 @ bool ) @ ( ord_less @ SX0 ) @ SX2 ) @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[431]) ).
thf(543,plain,
( ( ! [SX0: $i] :
( ~ ( order @ SX0 )
| ! [SX1: $i,SX2: $i] :
( ~ ( hBOOL @ ( hAPP @ SX0 @ bool @ ( hAPP @ SX0 @ ( fun @ SX0 @ bool ) @ ( ord_less @ SX0 ) @ SX1 ) @ SX2 ) )
| ( SX2 != SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[426]) ).
thf(544,plain,
( ( ! [SX0: $i] :
( ~ ( top @ SX0 )
| ! [SX1: $i] :
~ ( hBOOL @ ( hAPP @ SX0 @ bool @ ( hAPP @ SX0 @ ( fun @ SX0 @ bool ) @ ( ord_less @ SX0 ) @ ( top_top @ SX0 ) ) @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[414]) ).
thf(545,plain,
( ( ! [SX0: $i] :
( ~ ( preorder @ SX0 )
| ! [SX1: $i,SX2: $i] :
( ~ ( hBOOL @ ( hAPP @ SX0 @ bool @ ( hAPP @ SX0 @ ( fun @ SX0 @ bool ) @ ( ord_less @ SX0 ) @ SX1 ) @ SX2 ) )
| ~ ( hBOOL @ ( hAPP @ SX0 @ bool @ ( hAPP @ SX0 @ ( fun @ SX0 @ bool ) @ ( ord_less @ SX0 ) @ SX2 ) @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[428]) ).
thf(546,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SX0 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SX0 ) ) @ e ) ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SX0 ) ) @ n ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SX0 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SX0 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SX0 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SX0 ) ) @ e ) ) ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SX0 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SX0 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) ) )
| ~ ( ~ ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SX0 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SX0 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SX0 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SX0 ) ) @ e ) ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SX0 ) ) @ n ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SX0 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SX0 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SX0 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SX0 ) ) @ e ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[478]) ).
thf(547,plain,
( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( ord_less @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_992993526_mktop ) @ p ) ) @ e ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( fequal @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ arrow_1726925404_above ) @ p ) ) @ c ) ) @ e ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_844286440_mkbot ) @ p ) ) @ e ) ) ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combc @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( ord_less @ nat ) ) @ h ) ) @ n ) ) ) @ lab ) ) @ lba ) ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combc @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( ord_less @ nat ) ) @ h ) ) @ n ) ) ) @ lab ) ) @ lba ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( ord_less @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_992993526_mktop ) @ p ) ) @ e ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( fequal @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ arrow_1726925404_above ) @ p ) ) @ c ) ) @ e ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_844286440_mkbot ) @ p ) ) @ e ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[477]) ).
thf(548,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( ( ti @ SX0 @ SX1 )
!= ( ti @ SX0 @ SX2 ) )
| ( hBOOL @ ( hAPP @ SX0 @ bool @ ( hAPP @ SX0 @ ( fun @ SX0 @ bool ) @ ( fequal @ SX0 ) @ SX1 ) @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[508]) ).
thf(549,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SX0 @ bool ) @ bool @ ( hAPP @ ( fun @ SX0 @ SX1 ) @ ( fun @ ( fun @ SX0 @ bool ) @ bool ) @ ( inj_on @ SX0 @ SX1 ) @ SX4 ) @ SX5 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SX0 @ bool ) @ bool @ ( hAPP @ SX0 @ ( fun @ ( fun @ SX0 @ bool ) @ bool ) @ ( member @ SX0 ) @ SX3 ) @ SX5 ) )
| ( ( hAPP @ SX0 @ SX1 @ SX4 @ SX3 )
!= ( ti @ SX1 @ SX2 ) )
| ( ( hAPP @ SX1 @ SX0 @ ( hAPP @ ( fun @ SX0 @ SX1 ) @ ( fun @ SX1 @ SX0 ) @ ( hAPP @ ( fun @ SX0 @ bool ) @ ( fun @ ( fun @ SX0 @ SX1 ) @ ( fun @ SX1 @ SX0 ) ) @ ( hilbert_inv_into @ SX0 @ SX1 ) @ SX5 ) @ SX4 ) @ SX2 )
= ( ti @ SX0 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[444]) ).
thf(550,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ! [SX3: $i,SX4: $i] :
( ( ( hAPP @ SX0 @ SX1 @ SX2 @ SX3 )
!= ( hAPP @ SX0 @ SX1 @ SX2 @ SX4 ) )
| ( ( ti @ SX0 @ SX3 )
= ( ti @ SX0 @ SX4 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ SX0 @ bool ) @ bool @ ( hAPP @ ( fun @ SX0 @ SX1 ) @ ( fun @ ( fun @ SX0 @ bool ) @ bool ) @ ( inj_on @ SX0 @ SX1 ) @ SX2 ) @ ( top_top @ ( fun @ SX0 @ bool ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[453]) ).
thf(551,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SX0 @ bool ) @ bool @ ( hAPP @ ( fun @ SX0 @ SX1 ) @ ( fun @ ( fun @ SX0 @ bool ) @ bool ) @ ( inj_on @ SX0 @ SX1 ) @ SX3 ) @ ( top_top @ ( fun @ SX0 @ bool ) ) ) )
| ~ ! [SX4: $i] :
( ( hAPP @ SX0 @ SX1 @ SX3 @ ( hAPP @ SX1 @ SX0 @ SX2 @ SX4 ) )
= ( ti @ SX1 @ SX4 ) )
| ( ( hAPP @ ( fun @ SX0 @ SX1 ) @ ( fun @ SX1 @ SX0 ) @ ( hAPP @ ( fun @ SX0 @ bool ) @ ( fun @ ( fun @ SX0 @ SX1 ) @ ( fun @ SX1 @ SX0 ) ) @ ( hilbert_inv_into @ SX0 @ SX1 ) @ ( top_top @ ( fun @ SX0 @ bool ) ) ) @ SX3 )
= ( ti @ ( fun @ SX1 @ SX0 ) @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[452]) ).
thf(552,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( ( ( ti @ arrow_1212486748le_alt @ SX1 )
!= ( ti @ arrow_1212486748le_alt @ SX2 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SX0 ) @ arrow_638930832le_Lin ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SX0 ) @ SX1 ) @ SX2 ) ) @ arrow_638930832le_Lin ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[464]) ).
thf(553,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SX0 @ bool ) @ bool @ ( hAPP @ ( fun @ SX0 @ SX1 ) @ ( fun @ ( fun @ SX0 @ bool ) @ bool ) @ ( inj_on @ SX0 @ SX1 ) @ SX4 ) @ SX5 ) )
| ~ ( ( ( ti @ SX0 @ SX2 )
!= ( ti @ SX0 @ SX3 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SX0 @ bool ) @ bool @ ( hAPP @ SX0 @ ( fun @ ( fun @ SX0 @ bool ) @ bool ) @ ( member @ SX0 ) @ SX2 ) @ SX5 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SX0 @ bool ) @ bool @ ( hAPP @ SX0 @ ( fun @ ( fun @ SX0 @ bool ) @ bool ) @ ( member @ SX0 ) @ SX3 ) @ SX5 ) )
| ( ( hAPP @ SX0 @ SX1 @ SX4 @ SX2 )
!= ( hAPP @ SX0 @ SX1 @ SX4 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[447]) ).
thf(554,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX0 ) @ SX1 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ SX2 ) @ SX3 ) ) )
| ~ ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SX1 )
!= ( ti @ arrow_1212486748le_alt @ SX3 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SX0 )
!= ( ti @ arrow_1212486748le_alt @ SX3 ) )
| ( ( ti @ arrow_1212486748le_alt @ SX0 )
!= ( ti @ arrow_1212486748le_alt @ SX1 ) ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SX0 )
!= ( ti @ arrow_1212486748le_alt @ SX3 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX0 ) @ SX1 ) ) @ SX2 ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SX1 )
!= ( ti @ arrow_1212486748le_alt @ SX3 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SX0 )
!= ( ti @ arrow_1212486748le_alt @ SX3 ) )
| ( ( ti @ arrow_1212486748le_alt @ SX0 )
!= ( ti @ arrow_1212486748le_alt @ SX1 ) ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SX0 )
!= ( ti @ arrow_1212486748le_alt @ SX3 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX0 ) @ SX1 ) ) @ SX2 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX0 ) @ SX1 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ SX2 ) @ SX3 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[388]) ).
thf(555,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SX2 ) @ arrow_638930832le_Lin ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX0 ) @ SX1 ) ) @ SX2 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX1 ) @ SX0 ) ) @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[457]) ).
thf(556,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
( ~ ( ( ( ti @ arrow_1212486748le_alt @ SX4 )
!= ( ti @ arrow_1212486748le_alt @ SX5 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SX2 )
!= ( ti @ arrow_1212486748le_alt @ SX3 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SX4 )
!= ( ti @ arrow_1212486748le_alt @ SX3 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SX5 )
!= ( ti @ arrow_1212486748le_alt @ SX2 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SX1 ) @ arrow_1834574746e_Prof ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SX0 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SX6: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX4 ) @ SX5 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SX1 @ SX6 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX2 ) @ SX3 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SX0 @ SX6 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX2 ) @ SX3 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SX0 @ SX6 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX4 ) @ SX5 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SX1 @ SX6 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX4 ) @ SX5 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SX1 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX2 ) @ SX3 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SX0 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX2 ) @ SX3 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SX0 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX4 ) @ SX5 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SX1 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[390]) ).
thf(557,plain,
( ( ! [SX0: $i] :
( ~ ( ord @ SX0 )
| ! [SX1: $i,SX2: $i,SX3: $i] :
( ~ ( hBOOL @ ( hAPP @ SX0 @ bool @ ( hAPP @ SX0 @ ( fun @ SX0 @ bool ) @ ( ord_less @ SX0 ) @ SX2 ) @ SX3 ) )
| ( SX3 != SX1 )
| ( hBOOL @ ( hAPP @ SX0 @ bool @ ( hAPP @ SX0 @ ( fun @ SX0 @ bool ) @ ( ord_less @ SX0 ) @ SX2 ) @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[420]) ).
thf(558,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( order @ SX1 )
| ( order @ ( fun @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[485]) ).
thf(559,plain,
( ( ! [SX0: $i] :
( ~ ( order @ SX0 )
| ! [SX1: $i,SX2: $i,SX3: $i] :
( ( SX2 != SX3 )
| ~ ( hBOOL @ ( hAPP @ SX0 @ bool @ ( hAPP @ SX0 @ ( fun @ SX0 @ bool ) @ ( ord_less @ SX0 ) @ SX1 ) @ SX3 ) )
| ( hBOOL @ ( hAPP @ SX0 @ bool @ ( hAPP @ SX0 @ ( fun @ SX0 @ bool ) @ ( ord_less @ SX0 ) @ SX1 ) @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[421]) ).
thf(560,plain,
( ( ! [SX0: $i] :
( ~ ( linorder @ SX0 )
| ! [SX1: $i,SX2: $i] :
( ~ ~ ( hBOOL @ ( hAPP @ SX0 @ bool @ ( hAPP @ SX0 @ ( fun @ SX0 @ bool ) @ ( ord_less @ SX0 ) @ SX1 ) @ SX2 ) )
| ~ ( ( ( ti @ SX0 @ SX1 )
!= ( ti @ SX0 @ SX2 ) ) )
| ( hBOOL @ ( hAPP @ SX0 @ bool @ ( hAPP @ SX0 @ ( fun @ SX0 @ bool ) @ ( ord_less @ SX0 ) @ SX2 ) @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[415]) ).
thf(561,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SX0 ) )
| ! [SX1: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SX1 ) @ arrow_1834574746e_Prof ) )
| ! [SX2: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SX2 ) @ arrow_1834574746e_Prof ) )
| ! [SX3: $i,SX4: $i] :
( ~ ! [SX5: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX3 ) @ SX4 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SX1 @ SX5 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX3 ) @ SX4 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SX2 @ SX5 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX3 ) @ SX4 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SX2 @ SX5 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX3 ) @ SX4 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SX1 @ SX5 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX3 ) @ SX4 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SX0 @ SX1 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX3 ) @ SX4 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SX0 @ SX2 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX3 ) @ SX4 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SX0 @ SX2 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX3 ) @ SX4 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SX0 @ SX1 ) ) ) ) ) ) ) ) )
| ~ ( ~ ! [SX1: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SX1 ) @ arrow_1834574746e_Prof ) )
| ! [SX2: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SX2 ) @ arrow_1834574746e_Prof ) )
| ! [SX3: $i,SX4: $i] :
( ~ ! [SX5: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX3 ) @ SX4 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SX1 @ SX5 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX3 ) @ SX4 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SX2 @ SX5 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX3 ) @ SX4 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SX2 @ SX5 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX3 ) @ SX4 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SX1 @ SX5 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX3 ) @ SX4 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SX0 @ SX1 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX3 ) @ SX4 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SX0 @ SX2 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX3 ) @ SX4 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SX0 @ SX2 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX3 ) @ SX4 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SX0 @ SX1 ) ) ) ) ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[407]) ).
thf(562,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
~ ( ~ ( ~ ! [SX3: $i] : ( hBOOL @ ( hAPP @ ( product_prod @ SX0 @ SX1 ) @ bool @ SX2 @ SX3 ) )
| ! [SX3: $i,SX4: $i] : ( hBOOL @ ( hAPP @ ( product_prod @ SX0 @ SX1 ) @ bool @ SX2 @ ( hAPP @ SX1 @ ( product_prod @ SX0 @ SX1 ) @ ( hAPP @ SX0 @ ( fun @ SX1 @ ( product_prod @ SX0 @ SX1 ) ) @ ( product_Pair @ SX0 @ SX1 ) @ SX3 ) @ SX4 ) ) ) )
| ~ ( ~ ! [SX3: $i,SX4: $i] : ( hBOOL @ ( hAPP @ ( product_prod @ SX0 @ SX1 ) @ bool @ SX2 @ ( hAPP @ SX1 @ ( product_prod @ SX0 @ SX1 ) @ ( hAPP @ SX0 @ ( fun @ SX1 @ ( product_prod @ SX0 @ SX1 ) ) @ ( product_Pair @ SX0 @ SX1 ) @ SX3 ) @ SX4 ) ) )
| ! [SX3: $i] : ( hBOOL @ ( hAPP @ ( product_prod @ SX0 @ SX1 ) @ bool @ SX2 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[399]) ).
thf(563,plain,
( ( ! [SX0: $i] :
( ~ ( top @ SX0 )
| ( ( ti @ SX0 @ ( top_top @ SX0 ) )
= ( top_top @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[366]) ).
thf(564,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( ord @ SX1 )
| ( ord @ ( fun @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[487]) ).
thf(565,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ SX0 @ bool ) @ bool @ ( hAPP @ ( fun @ SX0 @ SX1 ) @ ( fun @ ( fun @ SX0 @ bool ) @ bool ) @ ( inj_on @ SX0 @ SX1 ) @ SX2 ) @ SX3 ) )
| ! [SX4: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SX0 @ bool ) @ bool @ ( hAPP @ SX0 @ ( fun @ ( fun @ SX0 @ bool ) @ bool ) @ ( member @ SX0 ) @ SX4 ) @ SX3 ) )
| ! [SX5: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SX0 @ bool ) @ bool @ ( hAPP @ SX0 @ ( fun @ ( fun @ SX0 @ bool ) @ bool ) @ ( member @ SX0 ) @ SX5 ) @ SX3 ) )
| ( ( hAPP @ SX0 @ SX1 @ SX2 @ SX4 )
!= ( hAPP @ SX0 @ SX1 @ SX2 @ SX5 ) )
| ( ( ti @ SX0 @ SX4 )
= ( ti @ SX0 @ SX5 ) ) ) ) )
| ~ ( ~ ! [SX4: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SX0 @ bool ) @ bool @ ( hAPP @ SX0 @ ( fun @ ( fun @ SX0 @ bool ) @ bool ) @ ( member @ SX0 ) @ SX4 ) @ SX3 ) )
| ! [SX5: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SX0 @ bool ) @ bool @ ( hAPP @ SX0 @ ( fun @ ( fun @ SX0 @ bool ) @ bool ) @ ( member @ SX0 ) @ SX5 ) @ SX3 ) )
| ( ( hAPP @ SX0 @ SX1 @ SX2 @ SX4 )
!= ( hAPP @ SX0 @ SX1 @ SX2 @ SX5 ) )
| ( ( ti @ SX0 @ SX4 )
= ( ti @ SX0 @ SX5 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ SX0 @ bool ) @ bool @ ( hAPP @ ( fun @ SX0 @ SX1 ) @ ( fun @ ( fun @ SX0 @ bool ) @ bool ) @ ( inj_on @ SX0 @ SX1 ) @ SX2 ) @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[446]) ).
thf(566,plain,
( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ p ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( ord_less @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_992993526_mktop ) @ p ) ) @ e ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( fequal @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ arrow_1726925404_above ) @ p ) ) @ c ) ) @ e ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_844286440_mkbot ) @ p ) ) @ e ) ) ) ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( ord_less @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_992993526_mktop ) @ p ) ) @ e ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( fequal @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ arrow_1726925404_above ) @ p ) ) @ c ) ) @ e ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_844286440_mkbot ) @ p ) ) @ e ) ) ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ p ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[398]) ).
thf(567,plain,
( ( ! [SX0: $i] :
( ~ ( order @ SX0 )
| ! [SX1: $i,SX2: $i,SX3: $i] :
( ~ ( hBOOL @ ( hAPP @ SX0 @ bool @ ( hAPP @ SX0 @ ( fun @ SX0 @ bool ) @ ( ord_less @ SX0 ) @ SX2 ) @ SX3 ) )
| ~ ( hBOOL @ ( hAPP @ SX0 @ bool @ ( hAPP @ SX0 @ ( fun @ SX0 @ bool ) @ ( ord_less @ SX0 ) @ SX1 ) @ SX2 ) )
| ( hBOOL @ ( hAPP @ SX0 @ bool @ ( hAPP @ SX0 @ ( fun @ SX0 @ bool ) @ ( ord_less @ SX0 ) @ SX1 ) @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[417]) ).
thf(568,plain,
( ( ! [SX0: $i] :
( ~ ( ord @ SX0 )
| ( ( ti @ ( fun @ SX0 @ ( fun @ SX0 @ bool ) ) @ ( ord_less @ SX0 ) )
= ( ord_less @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[365]) ).
thf(569,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SX0 @ bool ) @ bool @ ( hAPP @ ( fun @ SX0 @ SX1 ) @ ( fun @ ( fun @ SX0 @ bool ) @ bool ) @ ( inj_on @ SX0 @ SX1 ) @ SX3 ) @ ( top_top @ ( fun @ SX0 @ bool ) ) ) )
| ( ( hAPP @ SX1 @ SX0 @ ( hAPP @ ( fun @ SX0 @ SX1 ) @ ( fun @ SX1 @ SX0 ) @ ( hAPP @ ( fun @ SX0 @ bool ) @ ( fun @ ( fun @ SX0 @ SX1 ) @ ( fun @ SX1 @ SX0 ) ) @ ( hilbert_inv_into @ SX0 @ SX1 ) @ ( top_top @ ( fun @ SX0 @ bool ) ) ) @ SX3 ) @ ( hAPP @ SX0 @ SX1 @ SX3 @ SX2 ) )
= ( ti @ SX0 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[441]) ).
thf(570,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SX2 ) @ arrow_638930832le_Lin ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SX0 )
!= ( ti @ arrow_1212486748le_alt @ SX1 ) ) )
| ~ ( ~ ( ~ ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX0 ) @ SX1 ) ) @ SX2 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX1 ) @ SX0 ) ) @ SX2 ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX1 ) @ SX0 ) ) @ SX2 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX0 ) @ SX1 ) ) @ SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[458]) ).
thf(571,plain,
( ( ! [SX0: $i] :
( ~ ( linorder @ SX0 )
| ! [SX1: $i,SX2: $i] :
( ~ ~ ( hBOOL @ ( hAPP @ SX0 @ bool @ ( hAPP @ SX0 @ ( fun @ SX0 @ bool ) @ ( ord_less @ SX0 ) @ SX1 ) @ SX2 ) )
| ~ ( ~ ( ~ ~ ( hBOOL @ ( hAPP @ SX0 @ bool @ ( hAPP @ SX0 @ ( fun @ SX0 @ bool ) @ ( ord_less @ SX0 ) @ SX2 ) @ SX1 ) )
| ( ( ti @ SX0 @ SX2 )
= ( ti @ SX0 @ SX1 ) ) )
| ~ ( ( ( ti @ SX0 @ SX2 )
!= ( ti @ SX0 @ SX1 ) )
| ~ ( hBOOL @ ( hAPP @ SX0 @ bool @ ( hAPP @ SX0 @ ( fun @ SX0 @ bool ) @ ( ord_less @ SX0 ) @ SX2 ) @ SX1 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[432]) ).
thf(572,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ SX0 @ bool ) @ bool @ ( hAPP @ SX0 @ ( fun @ ( fun @ SX0 @ bool ) @ bool ) @ ( member @ SX0 ) @ SX1 ) @ SX2 ) )
| ( hBOOL @ ( hAPP @ SX0 @ bool @ SX2 @ SX1 ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ SX0 @ bool @ SX2 @ SX1 ) )
| ( hBOOL @ ( hAPP @ ( fun @ SX0 @ bool ) @ bool @ ( hAPP @ SX0 @ ( fun @ ( fun @ SX0 @ bool ) @ bool ) @ ( member @ SX0 ) @ SX1 ) @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[460]) ).
thf(573,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SX0 ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SX0 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SX0 ) ) @ e ) ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SX0 ) ) @ n ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SX0 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SX0 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SX0 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SX0 ) ) @ e ) ) ) ) ) ) ) )
| ~ ( ~ ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SX0 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SX0 ) ) @ e ) ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SX0 ) ) @ n ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SX0 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SX0 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SX0 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SX0 ) ) @ e ) ) ) ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[395]) ).
thf(574,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX0 ) @ SX1 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ SX2 ) @ SX3 ) ) )
| ~ ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SX0 )
!= ( ti @ arrow_1212486748le_alt @ SX3 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SX1 )
!= ( ti @ arrow_1212486748le_alt @ SX3 ) )
| ( ( ti @ arrow_1212486748le_alt @ SX0 )
!= ( ti @ arrow_1212486748le_alt @ SX1 ) ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SX1 )
!= ( ti @ arrow_1212486748le_alt @ SX3 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX0 ) @ SX1 ) ) @ SX2 ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SX0 )
!= ( ti @ arrow_1212486748le_alt @ SX3 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SX1 )
!= ( ti @ arrow_1212486748le_alt @ SX3 ) )
| ( ( ti @ arrow_1212486748le_alt @ SX0 )
!= ( ti @ arrow_1212486748le_alt @ SX1 ) ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SX1 )
!= ( ti @ arrow_1212486748le_alt @ SX3 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX0 ) @ SX1 ) ) @ SX2 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX0 ) @ SX1 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ SX2 ) @ SX3 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[389]) ).
thf(575,plain,
( ( ! [SX0: $i] :
( ~ ( preorder @ SX0 )
| ! [SX1: $i,SX2: $i] :
( ~ ( hBOOL @ ( hAPP @ SX0 @ bool @ ( hAPP @ SX0 @ ( fun @ SX0 @ bool ) @ ( ord_less @ SX0 ) @ SX1 ) @ SX2 ) )
| ~ ( hBOOL @ ( hAPP @ SX0 @ bool @ ( hAPP @ SX0 @ ( fun @ SX0 @ bool ) @ ( ord_less @ SX0 ) @ SX2 ) @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[416]) ).
thf(576,plain,
( ( ! [SX0: $i] :
( ~ ( linorder @ SX0 )
| ! [SX1: $i,SX2: $i] :
~ ( ~ ( ~ ~ ( hBOOL @ ( hAPP @ SX0 @ bool @ ( hAPP @ SX0 @ ( fun @ SX0 @ bool ) @ ( ord_less @ SX0 ) @ SX1 ) @ SX2 ) )
| ( hBOOL @ ( hAPP @ SX0 @ bool @ ( hAPP @ SX0 @ ( fun @ SX0 @ bool ) @ ( ord_less @ SX0 ) @ SX2 ) @ SX1 ) )
| ( ( ti @ SX0 @ SX1 )
= ( ti @ SX0 @ SX2 ) ) )
| ~ ( ~ ( ( hBOOL @ ( hAPP @ SX0 @ bool @ ( hAPP @ SX0 @ ( fun @ SX0 @ bool ) @ ( ord_less @ SX0 ) @ SX2 ) @ SX1 ) )
| ( ( ti @ SX0 @ SX1 )
= ( ti @ SX0 @ SX2 ) ) )
| ~ ( hBOOL @ ( hAPP @ SX0 @ bool @ ( hAPP @ SX0 @ ( fun @ SX0 @ bool ) @ ( ord_less @ SX0 ) @ SX1 ) @ SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[434]) ).
thf(577,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
( ~ ( ( ( ti @ arrow_1212486748le_alt @ SX4 )
!= ( ti @ arrow_1212486748le_alt @ SX5 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SX2 )
!= ( ti @ arrow_1212486748le_alt @ SX3 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SX4 )
!= ( ti @ arrow_1212486748le_alt @ SX3 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SX5 )
!= ( ti @ arrow_1212486748le_alt @ SX2 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SX1 ) @ arrow_1834574746e_Prof ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SX0 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SX6: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX4 ) @ SX5 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SX1 @ SX6 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX2 ) @ SX3 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SX0 @ SX6 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX2 ) @ SX3 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SX0 @ SX6 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX4 ) @ SX5 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SX1 @ SX6 ) ) ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX4 ) @ SX5 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SX1 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX2 ) @ SX3 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[391]) ).
thf(578,plain,
( ( ! [SX0: $i] :
( ~ ( order @ SX0 )
| ! [SX1: $i,SX2: $i] :
( ~ ( hBOOL @ ( hAPP @ SX0 @ bool @ ( hAPP @ SX0 @ ( fun @ SX0 @ bool ) @ ( ord_less @ SX0 ) @ SX1 ) @ SX2 ) )
| ( SX1 != SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[430]) ).
thf(579,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ~ ( ( ( ti @ arrow_1212486748le_alt @ SX3 )
!= ( ti @ arrow_1212486748le_alt @ SX4 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SX4 )
!= ( ti @ arrow_1212486748le_alt @ SX2 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SX3 )
!= ( ti @ arrow_1212486748le_alt @ SX2 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SX1 ) @ arrow_1834574746e_Prof ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SX0 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SX5: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX3 ) @ SX4 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SX1 @ SX5 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX4 ) @ SX2 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SX0 @ SX5 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX4 ) @ SX2 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SX0 @ SX5 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX3 ) @ SX4 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SX1 @ SX5 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX3 ) @ SX4 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SX1 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX4 ) @ SX2 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SX0 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX4 ) @ SX2 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SX0 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SX3 ) @ SX4 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SX1 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[392]) ).
thf(580,plain,
( ( ! [SX0: $i] :
( ~ ( linorder @ SX0 )
| ! [SX1: $i,SX2: $i] :
( ( hBOOL @ ( hAPP @ SX0 @ bool @ ( hAPP @ SX0 @ ( fun @ SX0 @ bool ) @ ( ord_less @ SX0 ) @ SX1 ) @ SX2 ) )
| ( ( ti @ SX0 @ SX1 )
= ( ti @ SX0 @ SX2 ) )
| ( hBOOL @ ( hAPP @ SX0 @ bool @ ( hAPP @ SX0 @ ( fun @ SX0 @ bool ) @ ( ord_less @ SX0 ) @ SX2 ) @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[433]) ).
thf(581,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( preorder @ SX1 )
| ( preorder @ ( fun @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[484]) ).
thf(582,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SX0 @ bool ) @ bool @ ( hAPP @ ( fun @ SX0 @ SX1 ) @ ( fun @ ( fun @ SX0 @ bool ) @ bool ) @ ( inj_on @ SX0 @ SX1 ) @ SX4 ) @ SX5 ) )
| ( ( hAPP @ SX0 @ SX1 @ SX4 @ SX2 )
!= ( hAPP @ SX0 @ SX1 @ SX4 @ SX3 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SX0 @ bool ) @ bool @ ( hAPP @ SX0 @ ( fun @ ( fun @ SX0 @ bool ) @ bool ) @ ( member @ SX0 ) @ SX2 ) @ SX5 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SX0 @ bool ) @ bool @ ( hAPP @ SX0 @ ( fun @ ( fun @ SX0 @ bool ) @ bool ) @ ( member @ SX0 ) @ SX3 ) @ SX5 ) )
| ( ( ti @ SX0 @ SX2 )
= ( ti @ SX0 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[449]) ).
thf(583,plain,
( ( ! [SX0: $i] :
( ~ ( preorder @ SX0 )
| ! [SX1: $i,SX2: $i] :
( ~ ( hBOOL @ ( hAPP @ SX0 @ bool @ ( hAPP @ SX0 @ ( fun @ SX0 @ bool ) @ ( ord_less @ SX0 ) @ SX1 ) @ SX2 ) )
| ~ ( hBOOL @ ( hAPP @ SX0 @ bool @ ( hAPP @ SX0 @ ( fun @ SX0 @ bool ) @ ( ord_less @ SX0 ) @ SX2 ) @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[429]) ).
thf(584,plain,
( ( ! [SX0: $i] :
( ~ ( preorder @ SX0 )
| ! [SX1: $i,SX2: $i,SX3: $i] :
( ~ ( hBOOL @ ( hAPP @ SX0 @ bool @ ( hAPP @ SX0 @ ( fun @ SX0 @ bool ) @ ( ord_less @ SX0 ) @ SX2 ) @ SX3 ) )
| ~ ( hBOOL @ ( hAPP @ SX0 @ bool @ ( hAPP @ SX0 @ ( fun @ SX0 @ bool ) @ ( ord_less @ SX0 ) @ SX3 ) @ SX2 ) )
| ( hBOOL @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[425]) ).
thf(585,plain,
( ( ! [SX0: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SX0 ) @ arrow_638930832le_Lin ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( combk @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ arrow_1384031255e_indi ) @ SX0 ) ) @ arrow_1834574746e_Prof ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[465]) ).
thf(586,plain,
( ( ! [SX0: $i] :
( ~ ( top @ SX0 )
| ! [SX1: $i] :
~ ( ~ ( ~ ( ( ( ti @ SX0 @ SX1 )
!= ( top_top @ SX0 ) ) )
| ( hBOOL @ ( hAPP @ SX0 @ bool @ ( hAPP @ SX0 @ ( fun @ SX0 @ bool ) @ ( ord_less @ SX0 ) @ SX1 ) @ ( top_top @ SX0 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ SX0 @ bool @ ( hAPP @ SX0 @ ( fun @ SX0 @ bool ) @ ( ord_less @ SX0 ) @ SX1 ) @ ( top_top @ SX0 ) ) )
| ( ( ti @ SX0 @ SX1 )
!= ( top_top @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[439]) ).
thf(587,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ! [SX4: $i] :
( ( hAPP @ SX0 @ SX1 @ SX2 @ SX4 )
= ( hAPP @ SX0 @ SX1 @ SX3 @ SX4 ) )
| ( ( ti @ ( fun @ SX0 @ SX1 ) @ SX2 )
= ( ti @ ( fun @ SX0 @ SX1 ) @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[459]) ).
thf(588,plain,
( ( ! [SX0: $i] :
( ~ ( order @ SX0 )
| ! [SX1: $i,SX2: $i] :
( ~ ( hBOOL @ ( hAPP @ SX0 @ bool @ ( hAPP @ SX0 @ ( fun @ SX0 @ bool ) @ ( ord_less @ SX0 ) @ SX1 ) @ SX2 ) )
| ( SX1 != SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[427]) ).
thf(589,plain,
( ( c != d )
= $true ),
inference(unfold_def,[status(thm)],[386]) ).
thf(590,plain,
! [SV1: $i] :
( ( ! [SY394: $i,SY395: $i] :
( ( ti @ ( fun @ ( fun @ SV1 @ SY394 ) @ ( fun @ ( fun @ SY395 @ SV1 ) @ ( fun @ SY395 @ SY394 ) ) ) @ ( combb @ SV1 @ SY394 @ SY395 ) )
= ( combb @ SV1 @ SY394 @ SY395 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[354]) ).
thf(591,plain,
! [SV2: $i] :
( ( ! [SY396: $i,SY397: $i] :
( ( ti @ ( fun @ ( fun @ SV2 @ ( fun @ SY396 @ SY397 ) ) @ ( fun @ SY396 @ ( fun @ SV2 @ SY397 ) ) ) @ ( combc @ SV2 @ SY396 @ SY397 ) )
= ( combc @ SV2 @ SY396 @ SY397 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[355]) ).
thf(592,plain,
! [SV3: $i] :
( ( ( ti @ ( fun @ SV3 @ SV3 ) @ ( combi @ SV3 ) )
= ( combi @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[356]) ).
thf(593,plain,
! [SV4: $i] :
( ( ! [SY398: $i] :
( ( ti @ ( fun @ SV4 @ ( fun @ SY398 @ SV4 ) ) @ ( combk @ SV4 @ SY398 ) )
= ( combk @ SV4 @ SY398 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[357]) ).
thf(594,plain,
! [SV5: $i] :
( ( ! [SY399: $i,SY400: $i] :
( ( ti @ ( fun @ ( fun @ SV5 @ ( fun @ SY399 @ SY400 ) ) @ ( fun @ ( fun @ SV5 @ SY399 ) @ ( fun @ SV5 @ SY400 ) ) ) @ ( combs @ SV5 @ SY399 @ SY400 ) )
= ( combs @ SV5 @ SY399 @ SY400 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[358]) ).
thf(595,plain,
! [SV6: $i] :
( ( ! [SY401: $i] :
( ( ti @ ( fun @ ( fun @ SV6 @ SY401 ) @ ( fun @ ( fun @ SV6 @ bool ) @ bool ) ) @ ( inj_on @ SV6 @ SY401 ) )
= ( inj_on @ SV6 @ SY401 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[360]) ).
thf(596,plain,
! [SV7: $i] :
( ( ! [SY402: $i] :
( ( ti @ ( fun @ ( fun @ SV7 @ bool ) @ ( fun @ ( fun @ SV7 @ ( fun @ SY402 @ bool ) ) @ ( fun @ ( fun @ SV7 @ SY402 ) @ bool ) ) ) @ ( pi @ SV7 @ SY402 ) )
= ( pi @ SV7 @ SY402 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[361]) ).
thf(597,plain,
! [SV8: $i] :
( ( ( ti @ SV8 @ ( undefined @ SV8 ) )
= ( undefined @ SV8 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[362]) ).
thf(598,plain,
! [SV9: $i] :
( ( ! [SY403: $i] :
( ( ti @ ( fun @ ( fun @ SV9 @ bool ) @ ( fun @ ( fun @ SV9 @ SY403 ) @ ( fun @ SY403 @ SV9 ) ) ) @ ( hilbert_inv_into @ SV9 @ SY403 ) )
= ( hilbert_inv_into @ SV9 @ SY403 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[363]) ).
thf(599,plain,
! [SV10: $i] :
( ( ( ti @ ( fun @ bool @ ( fun @ SV10 @ ( fun @ SV10 @ SV10 ) ) ) @ ( if @ SV10 ) )
= ( if @ SV10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[364]) ).
thf(600,plain,
! [SV11: $i] :
( ( ! [SY404: $i] :
( ( ti @ ( fun @ SV11 @ ( fun @ SY404 @ ( product_prod @ SV11 @ SY404 ) ) ) @ ( product_Pair @ SV11 @ SY404 ) )
= ( product_Pair @ SV11 @ SY404 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[367]) ).
thf(601,plain,
! [SV12: $i] :
( ( ! [SY405: $i,SY406: $i] :
( ( ti @ ( fun @ ( fun @ SV12 @ ( fun @ SY405 @ SY406 ) ) @ ( fun @ ( product_prod @ SV12 @ SY405 ) @ SY406 ) ) @ ( product_prod_rec @ SV12 @ SY405 @ SY406 ) )
= ( product_prod_rec @ SV12 @ SY405 @ SY406 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[368]) ).
thf(602,plain,
! [SV13: $i] :
( ( ( ti @ ( fun @ ( fun @ SV13 @ bool ) @ ( fun @ SV13 @ bool ) ) @ ( collect @ SV13 ) )
= ( collect @ SV13 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[369]) ).
thf(603,plain,
! [SV14: $i] :
( ( ( ti @ ( fun @ SV14 @ ( fun @ SV14 @ bool ) ) @ ( fequal @ SV14 ) )
= ( fequal @ SV14 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[372]) ).
thf(604,plain,
! [SV15: $i] :
( ( ! [SY407: $i,SY408: $i,SY409: $i] :
( ( hAPP @ SV15 @ SY407 @ ( ti @ ( fun @ SV15 @ SY407 ) @ SY408 ) @ SY409 )
= ( hAPP @ SV15 @ SY407 @ SY408 @ SY409 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[373]) ).
thf(605,plain,
! [SV16: $i] :
( ( ! [SY410: $i,SY411: $i,SY412: $i] :
( ( hAPP @ SV16 @ SY410 @ SY411 @ ( ti @ SV16 @ SY412 ) )
= ( hAPP @ SV16 @ SY410 @ SY411 @ SY412 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[374]) ).
thf(606,plain,
! [SV17: $i] :
( ( ! [SY413: $i,SY414: $i,SY415: $i] :
( ( ti @ SV17 @ ( hAPP @ SY413 @ SV17 @ SY414 @ SY415 ) )
= ( hAPP @ SY413 @ SV17 @ SY414 @ SY415 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[375]) ).
thf(607,plain,
! [SV18: $i] :
( ( ( ti @ ( fun @ SV18 @ ( fun @ ( fun @ SV18 @ bool ) @ bool ) ) @ ( member @ SV18 ) )
= ( member @ SV18 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[376]) ).
thf(608,plain,
! [SV19: $i] :
( ( ! [SY416: $i] : ( hBOOL @ ( hAPP @ SV19 @ bool @ ( top_top @ ( fun @ SV19 @ bool ) ) @ SY416 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[409]) ).
thf(609,plain,
! [SV20: $i] :
( ( ! [SY417: $i] : ( hBOOL @ ( hAPP @ ( fun @ SV20 @ bool ) @ bool @ ( hAPP @ SV20 @ ( fun @ ( fun @ SV20 @ bool ) @ bool ) @ ( member @ SV20 ) @ SY417 ) @ ( top_top @ ( fun @ SV20 @ bool ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[410]) ).
thf(610,plain,
! [SV21: $i] :
( ( ! [SY418: $i] : ( hBOOL @ ( hAPP @ ( fun @ SV21 @ bool ) @ bool @ ( hAPP @ SV21 @ ( fun @ ( fun @ SV21 @ bool ) @ bool ) @ ( member @ SV21 ) @ SY418 ) @ ( top_top @ ( fun @ SV21 @ bool ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[411]) ).
thf(611,plain,
! [SV22: $i] :
( ( ! [SY419: $i,SY420: $i,SY421: $i,SY422: $i,SY423: $i] :
( ( hAPP @ ( product_prod @ SV22 @ SY419 ) @ SY420 @ ( hAPP @ ( fun @ SV22 @ ( fun @ SY419 @ SY420 ) ) @ ( fun @ ( product_prod @ SV22 @ SY419 ) @ SY420 ) @ ( product_prod_rec @ SV22 @ SY419 @ SY420 ) @ SY421 ) @ ( hAPP @ SY419 @ ( product_prod @ SV22 @ SY419 ) @ ( hAPP @ SV22 @ ( fun @ SY419 @ ( product_prod @ SV22 @ SY419 ) ) @ ( product_Pair @ SV22 @ SY419 ) @ SY422 ) @ SY423 ) )
= ( hAPP @ SY419 @ SY420 @ ( hAPP @ SV22 @ ( fun @ SY419 @ SY420 ) @ SY421 @ SY422 ) @ SY423 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[412]) ).
thf(612,plain,
! [SV23: $i] :
( ( ( top_top @ ( fun @ SV23 @ bool ) )
= ( hAPP @ ( fun @ SV23 @ bool ) @ ( fun @ SV23 @ bool ) @ ( collect @ SV23 ) @ ( hAPP @ bool @ ( fun @ SV23 @ bool ) @ ( combk @ bool @ SV23 ) @ fTrue ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[437]) ).
thf(613,plain,
! [SV24: $i] :
( ( ! [SY424: $i] : ( hBOOL @ ( hAPP @ ( fun @ SV24 @ bool ) @ bool @ ( hAPP @ ( fun @ SV24 @ SV24 ) @ ( fun @ ( fun @ SV24 @ bool ) @ bool ) @ ( inj_on @ SV24 @ SV24 ) @ ( combi @ SV24 ) ) @ SY424 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[450]) ).
thf(614,plain,
! [SV25: $i] :
( ( ! [SY425: $i] :
( ( hAPP @ ( fun @ SV25 @ bool ) @ ( fun @ SV25 @ bool ) @ ( collect @ SV25 ) @ SY425 )
= ( ti @ ( fun @ SV25 @ bool ) @ SY425 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[461]) ).
thf(615,plain,
! [SV26: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combc @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( ord_less @ nat ) ) @ h ) ) @ SV26 ) ) ) @ lab ) ) @ lba ) ) @ arrow_1834574746e_Prof ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[470]) ).
thf(616,plain,
! [SV27: $i] :
( ( ! [SY426: $i] : ( hBOOL @ ( hAPP @ ( fun @ ( fun @ SV27 @ SV27 ) @ bool ) @ bool @ ( hAPP @ ( fun @ SV27 @ SV27 ) @ ( fun @ ( fun @ ( fun @ SV27 @ SV27 ) @ bool ) @ bool ) @ ( member @ ( fun @ SV27 @ SV27 ) ) @ ( combi @ SV27 ) ) @ ( hAPP @ ( fun @ SV27 @ ( fun @ SV27 @ bool ) ) @ ( fun @ ( fun @ SV27 @ SV27 ) @ bool ) @ ( hAPP @ ( fun @ SV27 @ bool ) @ ( fun @ ( fun @ SV27 @ ( fun @ SV27 @ bool ) ) @ ( fun @ ( fun @ SV27 @ SV27 ) @ bool ) ) @ ( pi @ SV27 @ SV27 ) @ SY426 ) @ ( hAPP @ ( fun @ SV27 @ bool ) @ ( fun @ SV27 @ ( fun @ SV27 @ bool ) ) @ ( combk @ ( fun @ SV27 @ bool ) @ SV27 ) @ SY426 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[474]) ).
thf(617,plain,
! [SV28: $i] :
( ( ! [SY427: $i,SY428: $i] :
( ( hAPP @ ( fun @ SV28 @ ( fun @ SY427 @ bool ) ) @ ( fun @ ( fun @ SV28 @ SY427 ) @ bool ) @ ( hAPP @ ( fun @ SV28 @ bool ) @ ( fun @ ( fun @ SV28 @ ( fun @ SY427 @ bool ) ) @ ( fun @ ( fun @ SV28 @ SY427 ) @ bool ) ) @ ( pi @ SV28 @ SY427 ) @ SY428 ) @ ( hAPP @ ( fun @ SY427 @ bool ) @ ( fun @ SV28 @ ( fun @ SY427 @ bool ) ) @ ( combk @ ( fun @ SY427 @ bool ) @ SV28 ) @ ( top_top @ ( fun @ SY427 @ bool ) ) ) )
= ( top_top @ ( fun @ ( fun @ SV28 @ SY427 ) @ bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[476]) ).
thf(618,plain,
( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ a ) @ b ) ) @ lba ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[482]) ).
thf(619,plain,
( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[483]) ).
thf(620,plain,
! [SV29: $i] :
( ( ! [SY429: $i] :
( ( ti @ SV29 @ ( ti @ SV29 @ SY429 ) )
= ( ti @ SV29 @ SY429 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[496]) ).
thf(621,plain,
! [SV30: $i] :
( ( ! [SY430: $i,SY431: $i] :
( ( hAPP @ SV30 @ SV30 @ ( hAPP @ SV30 @ ( fun @ SV30 @ SV30 ) @ ( hAPP @ bool @ ( fun @ SV30 @ ( fun @ SV30 @ SV30 ) ) @ ( if @ SV30 ) @ fTrue ) @ SY430 ) @ SY431 )
= ( ti @ SV30 @ SY430 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[497]) ).
thf(622,plain,
! [SV31: $i] :
( ( ! [SY432: $i,SY433: $i] :
( ( hAPP @ SV31 @ SV31 @ ( hAPP @ SV31 @ ( fun @ SV31 @ SV31 ) @ ( hAPP @ bool @ ( fun @ SV31 @ ( fun @ SV31 @ SV31 ) ) @ ( if @ SV31 ) @ fFalse ) @ SY432 ) @ SY433 )
= ( ti @ SV31 @ SY433 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[498]) ).
thf(623,plain,
! [SV32: $i] :
( ( ( ( ti @ bool @ SV32 )
= fTrue )
| ( ( ti @ bool @ SV32 )
= fFalse ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[499]) ).
thf(624,plain,
! [SV33: $i] :
( ( ! [SY434: $i,SY435: $i,SY436: $i,SY437: $i,SY438: $i] :
( ( hAPP @ SV33 @ SY434 @ ( hAPP @ ( fun @ SV33 @ SY435 ) @ ( fun @ SV33 @ SY434 ) @ ( hAPP @ ( fun @ SY435 @ SY434 ) @ ( fun @ ( fun @ SV33 @ SY435 ) @ ( fun @ SV33 @ SY434 ) ) @ ( combb @ SY435 @ SY434 @ SV33 ) @ SY436 ) @ SY437 ) @ SY438 )
= ( hAPP @ SY435 @ SY434 @ SY436 @ ( hAPP @ SV33 @ SY435 @ SY437 @ SY438 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[500]) ).
thf(625,plain,
! [SV34: $i] :
( ( ! [SY439: $i,SY440: $i,SY441: $i,SY442: $i,SY443: $i] :
( ( hAPP @ SV34 @ SY439 @ ( hAPP @ SY440 @ ( fun @ SV34 @ SY439 ) @ ( hAPP @ ( fun @ SV34 @ ( fun @ SY440 @ SY439 ) ) @ ( fun @ SY440 @ ( fun @ SV34 @ SY439 ) ) @ ( combc @ SV34 @ SY440 @ SY439 ) @ SY441 ) @ SY442 ) @ SY443 )
= ( hAPP @ SY440 @ SY439 @ ( hAPP @ SV34 @ ( fun @ SY440 @ SY439 ) @ SY441 @ SY443 ) @ SY442 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[501]) ).
thf(626,plain,
! [SV35: $i] :
( ( ! [SY444: $i] :
( ( hAPP @ SV35 @ SV35 @ ( combi @ SV35 ) @ SY444 )
= ( ti @ SV35 @ SY444 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[502]) ).
thf(627,plain,
! [SV36: $i] :
( ( ! [SY445: $i,SY446: $i,SY447: $i] :
( ( hAPP @ SV36 @ SY445 @ ( hAPP @ SY445 @ ( fun @ SV36 @ SY445 ) @ ( combk @ SY445 @ SV36 ) @ SY446 ) @ SY447 )
= ( ti @ SY445 @ SY446 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[503]) ).
thf(628,plain,
! [SV37: $i] :
( ( ! [SY448: $i,SY449: $i,SY450: $i,SY451: $i,SY452: $i] :
( ( hAPP @ SV37 @ SY448 @ ( hAPP @ ( fun @ SV37 @ SY449 ) @ ( fun @ SV37 @ SY448 ) @ ( hAPP @ ( fun @ SV37 @ ( fun @ SY449 @ SY448 ) ) @ ( fun @ ( fun @ SV37 @ SY449 ) @ ( fun @ SV37 @ SY448 ) ) @ ( combs @ SV37 @ SY449 @ SY448 ) @ SY450 ) @ SY451 ) @ SY452 )
= ( hAPP @ SY449 @ SY448 @ ( hAPP @ SV37 @ ( fun @ SY449 @ SY448 ) @ SY450 @ SY452 ) @ ( hAPP @ SV37 @ SY449 @ SY451 @ SY452 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[504]) ).
thf(629,plain,
! [SV38: $i] :
( ( ( ( ti @ bool @ SV38 )
= fTrue )
| ( ( ti @ bool @ SV38 )
= fFalse ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[506]) ).
thf(630,plain,
! [SV39: $i] :
( ( ! [SY453: $i,SY454: $i] :
( ~ ( hBOOL @ ( hAPP @ SV39 @ bool @ ( hAPP @ SV39 @ ( fun @ SV39 @ bool ) @ ( fequal @ SV39 ) @ SY453 ) @ SY454 ) )
| ( ( ti @ SV39 @ SY453 )
= ( ti @ SV39 @ SY454 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[507]) ).
thf(631,plain,
( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ p ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[509]) ).
thf(632,plain,
! [SV40: $i] :
( ( ! [SY455: $i,SY456: $i,SY457: $i,SY458: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV40 @ bool ) @ bool @ ( hAPP @ ( fun @ SV40 @ SY455 ) @ ( fun @ ( fun @ SV40 @ bool ) @ bool ) @ ( inj_on @ SV40 @ SY455 ) @ SY458 ) @ ( top_top @ ( fun @ SV40 @ bool ) ) ) )
| ( ( hAPP @ SV40 @ SY455 @ SY458 @ SY456 )
!= ( hAPP @ SV40 @ SY455 @ SY458 @ SY457 ) )
| ( ( ti @ SV40 @ SY456 )
= ( ti @ SV40 @ SY457 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[510]) ).
thf(633,plain,
! [SV41: $i] :
( ( ! [SY459: $i] :
( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV41 )
!= ( ti @ arrow_1212486748le_alt @ SY459 ) ) )
| ~ ! [SY460: $i] :
~ ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SY460 ) @ arrow_638930832le_Lin ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV41 ) @ SY459 ) ) @ SY460 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[511]) ).
thf(634,plain,
! [SV42: $i] :
( ( ! [SY461: $i] :
( ~ ( top @ SY461 )
| ( top @ ( fun @ SV42 @ SY461 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[512]) ).
thf(635,plain,
! [SV43: $i] :
( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_1932713123nimity @ SV43 ) )
| ! [SY462: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SY462 ) @ arrow_1834574746e_Prof ) )
| ! [SY463: $i,SY464: $i] :
( ~ ! [SX4: $i] : ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY463 ) @ SY464 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY462 @ SX4 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY463 ) @ SY464 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV43 @ SY462 ) ) ) ) ) )
| ~ ( ~ ! [SY466: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SY466 ) @ arrow_1834574746e_Prof ) )
| ! [SY467: $i,SY468: $i] :
( ~ ! [SX4: $i] : ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY467 ) @ SY468 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY466 @ SX4 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY467 ) @ SY468 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV43 @ SY466 ) ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_1932713123nimity @ SV43 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[513]) ).
thf(636,plain,
! [SV44: $i] :
( ( ! [SY470: $i,SY471: $i,SY472: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SY470 @ bool ) @ bool @ ( hAPP @ ( fun @ SY470 @ SY471 ) @ ( fun @ ( fun @ SY470 @ bool ) @ bool ) @ ( inj_on @ SY470 @ SY471 ) @ SY472 ) @ ( top_top @ ( fun @ SY470 @ bool ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ SY470 @ bool ) @ bool @ ( hAPP @ ( fun @ SY470 @ ( fun @ SV44 @ SY471 ) ) @ ( fun @ ( fun @ SY470 @ bool ) @ bool ) @ ( inj_on @ SY470 @ ( fun @ SV44 @ SY471 ) ) @ ( hAPP @ ( fun @ SY470 @ SY471 ) @ ( fun @ SY470 @ ( fun @ SV44 @ SY471 ) ) @ ( hAPP @ ( fun @ SY471 @ ( fun @ SV44 @ SY471 ) ) @ ( fun @ ( fun @ SY470 @ SY471 ) @ ( fun @ SY470 @ ( fun @ SV44 @ SY471 ) ) ) @ ( combb @ SY471 @ ( fun @ SV44 @ SY471 ) @ SY470 ) @ ( combk @ SY471 @ SV44 ) ) @ SY472 ) ) @ ( top_top @ ( fun @ SY470 @ bool ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[514]) ).
thf(637,plain,
! [SV45: $i] :
( ( ! [SY473: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SY473 ) @ arrow_638930832le_Lin ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ SY473 ) @ SV45 ) ) @ arrow_638930832le_Lin ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[515]) ).
thf(638,plain,
! [SV46: $i] :
( ( ! [SY474: $i,SY475: $i,SY476: $i,SY477: $i,SY478: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ SV46 @ SY474 ) @ bool ) @ bool @ ( hAPP @ ( fun @ SV46 @ SY474 ) @ ( fun @ ( fun @ ( fun @ SV46 @ SY474 ) @ bool ) @ bool ) @ ( member @ ( fun @ SV46 @ SY474 ) ) @ SY476 ) @ ( hAPP @ ( fun @ SV46 @ ( fun @ SY474 @ bool ) ) @ ( fun @ ( fun @ SV46 @ SY474 ) @ bool ) @ ( hAPP @ ( fun @ SV46 @ bool ) @ ( fun @ ( fun @ SV46 @ ( fun @ SY474 @ bool ) ) @ ( fun @ ( fun @ SV46 @ SY474 ) @ bool ) ) @ ( pi @ SV46 @ SY474 ) @ SY477 ) @ SY478 ) ) )
| ~ ~ ( hBOOL @ ( hAPP @ ( fun @ SY474 @ bool ) @ bool @ ( hAPP @ SY474 @ ( fun @ ( fun @ SY474 @ bool ) @ bool ) @ ( member @ SY474 ) @ ( hAPP @ SV46 @ SY474 @ SY476 @ SY475 ) ) @ ( hAPP @ SV46 @ ( fun @ SY474 @ bool ) @ SY478 @ SY475 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV46 @ bool ) @ bool @ ( hAPP @ SV46 @ ( fun @ ( fun @ SV46 @ bool ) @ bool ) @ ( member @ SV46 ) @ SY475 ) @ SY477 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[516]) ).
thf(639,plain,
! [SV47: $i] :
( ( ! [SY479: $i,SY480: $i,SY481: $i,SY482: $i,SY483: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ SV47 @ SY479 ) @ bool ) @ bool @ ( hAPP @ ( fun @ SV47 @ SY479 ) @ ( fun @ ( fun @ ( fun @ SV47 @ SY479 ) @ bool ) @ bool ) @ ( member @ ( fun @ SV47 @ SY479 ) ) @ SY481 ) @ ( hAPP @ ( fun @ SV47 @ ( fun @ SY479 @ bool ) ) @ ( fun @ ( fun @ SV47 @ SY479 ) @ bool ) @ ( hAPP @ ( fun @ SV47 @ bool ) @ ( fun @ ( fun @ SV47 @ ( fun @ SY479 @ bool ) ) @ ( fun @ ( fun @ SV47 @ SY479 ) @ bool ) ) @ ( pi @ SV47 @ SY479 ) @ SY482 ) @ SY483 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV47 @ bool ) @ bool @ ( hAPP @ SV47 @ ( fun @ ( fun @ SV47 @ bool ) @ bool ) @ ( member @ SV47 ) @ SY480 ) @ SY482 ) )
| ( hBOOL @ ( hAPP @ ( fun @ SY479 @ bool ) @ bool @ ( hAPP @ SY479 @ ( fun @ ( fun @ SY479 @ bool ) @ bool ) @ ( member @ SY479 ) @ ( hAPP @ SV47 @ SY479 @ SY481 @ SY480 ) ) @ ( hAPP @ SV47 @ ( fun @ SY479 @ bool ) @ SY483 @ SY480 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[517]) ).
thf(640,plain,
! [SV48: $i] :
( ( ! [SY484: $i,SY485: $i,SY486: $i,SY487: $i,SY488: $i] :
~ ( ~ ( ( ( hAPP @ SV48 @ ( product_prod @ SY484 @ SV48 ) @ ( hAPP @ SY484 @ ( fun @ SV48 @ ( product_prod @ SY484 @ SV48 ) ) @ ( product_Pair @ SY484 @ SV48 ) @ SY485 ) @ SY486 )
!= ( hAPP @ SV48 @ ( product_prod @ SY484 @ SV48 ) @ ( hAPP @ SY484 @ ( fun @ SV48 @ ( product_prod @ SY484 @ SV48 ) ) @ ( product_Pair @ SY484 @ SV48 ) @ SY487 ) @ SY488 ) )
| ~ ( ( ( ti @ SY484 @ SY485 )
!= ( ti @ SY484 @ SY487 ) )
| ( ( ti @ SV48 @ SY486 )
!= ( ti @ SV48 @ SY488 ) ) ) )
| ~ ( ~ ~ ( ( ( ti @ SY484 @ SY485 )
!= ( ti @ SY484 @ SY487 ) )
| ( ( ti @ SV48 @ SY486 )
!= ( ti @ SV48 @ SY488 ) ) )
| ( ( hAPP @ SV48 @ ( product_prod @ SY484 @ SV48 ) @ ( hAPP @ SY484 @ ( fun @ SV48 @ ( product_prod @ SY484 @ SV48 ) ) @ ( product_Pair @ SY484 @ SV48 ) @ SY485 ) @ SY486 )
= ( hAPP @ SV48 @ ( product_prod @ SY484 @ SV48 ) @ ( hAPP @ SY484 @ ( fun @ SV48 @ ( product_prod @ SY484 @ SV48 ) ) @ ( product_Pair @ SY484 @ SV48 ) @ SY487 ) @ SY488 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[518]) ).
thf(641,plain,
! [SV49: $i] :
( ( ! [SY489: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SY489 ) @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) ) @ ( pi @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1834574746e_Prof ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( combk @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_638930832le_Lin ) ) ) )
| ~ ! [SY490: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SY490 ) @ arrow_1834574746e_Prof ) )
| ! [SY491: $i,SY492: $i] :
( ~ ( ( ( ti @ arrow_1212486748le_alt @ SY491 )
!= ( ti @ arrow_1212486748le_alt @ SY492 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY491 ) @ SY492 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY490 @ SV49 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY491 ) @ SY492 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY489 @ SY490 ) ) ) ) )
| ( hBOOL @ ( hAPP @ arrow_1384031255e_indi @ bool @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ bool ) @ arrow_1990387629ctator @ SY489 ) @ SV49 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[519]) ).
thf(642,plain,
! [SV50: $i] :
( ( ! [SY493: $i,SY494: $i,SY495: $i] :
~ ( ~ ( ~ ! [SY496: $i,SY497: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SY493 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SY493 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SY493 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SY493 ) ) @ ( hAPP @ SY493 @ ( product_prod @ SV50 @ SY493 ) @ ( hAPP @ SV50 @ ( fun @ SY493 @ ( product_prod @ SV50 @ SY493 ) ) @ ( product_Pair @ SV50 @ SY493 ) @ SY496 ) @ SY497 ) ) @ SY495 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SY493 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SY493 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SY493 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SY493 ) ) @ ( hAPP @ SY493 @ ( product_prod @ SV50 @ SY493 ) @ ( hAPP @ SV50 @ ( fun @ SY493 @ ( product_prod @ SV50 @ SY493 ) ) @ ( product_Pair @ SV50 @ SY493 ) @ SY496 ) @ SY497 ) ) @ SY494 ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SY493 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SY493 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SY493 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SY493 ) ) @ ( hAPP @ SY493 @ ( product_prod @ SV50 @ SY493 ) @ ( hAPP @ SV50 @ ( fun @ SY493 @ ( product_prod @ SV50 @ SY493 ) ) @ ( product_Pair @ SV50 @ SY493 ) @ SY496 ) @ SY497 ) ) @ SY494 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SY493 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SY493 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SY493 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SY493 ) ) @ ( hAPP @ SY493 @ ( product_prod @ SV50 @ SY493 ) @ ( hAPP @ SV50 @ ( fun @ SY493 @ ( product_prod @ SV50 @ SY493 ) ) @ ( product_Pair @ SV50 @ SY493 ) @ SY496 ) @ SY497 ) ) @ SY495 ) ) ) )
| ( ( ti @ ( fun @ ( product_prod @ SV50 @ SY493 ) @ bool ) @ SY495 )
= ( ti @ ( fun @ ( product_prod @ SV50 @ SY493 ) @ bool ) @ SY494 ) ) )
| ~ ( ( ( ti @ ( fun @ ( product_prod @ SV50 @ SY493 ) @ bool ) @ SY495 )
!= ( ti @ ( fun @ ( product_prod @ SV50 @ SY493 ) @ bool ) @ SY494 ) )
| ! [SY498: $i,SY499: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SY493 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SY493 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SY493 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SY493 ) ) @ ( hAPP @ SY493 @ ( product_prod @ SV50 @ SY493 ) @ ( hAPP @ SV50 @ ( fun @ SY493 @ ( product_prod @ SV50 @ SY493 ) ) @ ( product_Pair @ SV50 @ SY493 ) @ SY498 ) @ SY499 ) ) @ SY495 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SY493 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SY493 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SY493 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SY493 ) ) @ ( hAPP @ SY493 @ ( product_prod @ SV50 @ SY493 ) @ ( hAPP @ SV50 @ ( fun @ SY493 @ ( product_prod @ SV50 @ SY493 ) ) @ ( product_Pair @ SV50 @ SY493 ) @ SY498 ) @ SY499 ) ) @ SY494 ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SY493 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SY493 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SY493 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SY493 ) ) @ ( hAPP @ SY493 @ ( product_prod @ SV50 @ SY493 ) @ ( hAPP @ SV50 @ ( fun @ SY493 @ ( product_prod @ SV50 @ SY493 ) ) @ ( product_Pair @ SV50 @ SY493 ) @ SY498 ) @ SY499 ) ) @ SY494 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SY493 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SY493 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SY493 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SY493 ) ) @ ( hAPP @ SY493 @ ( product_prod @ SV50 @ SY493 ) @ ( hAPP @ SV50 @ ( fun @ SY493 @ ( product_prod @ SV50 @ SY493 ) ) @ ( product_Pair @ SV50 @ SY493 ) @ SY498 ) @ SY499 ) ) @ SY495 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[520]) ).
thf(643,plain,
! [SV51: $i] :
( ( ! [SY500: $i,SY501: $i,SY502: $i,SY503: $i] :
( ~ ( ( ( ti @ arrow_1212486748le_alt @ SY502 )
!= ( ti @ arrow_1212486748le_alt @ SY503 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SY501 ) @ arrow_638930832le_Lin ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SY500 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SY501 ) @ SY502 ) @ SY503 ) ) )
| ~ ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SY500 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SY503 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY502 ) @ SY500 ) ) @ SY501 ) ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SY503 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SY500 )
!= ( ti @ arrow_1212486748le_alt @ SY503 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SY502 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SY502 ) ) @ SY501 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SY500 )
!= ( ti @ arrow_1212486748le_alt @ SY503 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SY500 ) ) @ SY501 ) ) ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SY500 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SY503 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY502 ) @ SY500 ) ) @ SY501 ) ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SY503 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SY500 )
!= ( ti @ arrow_1212486748le_alt @ SY503 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SY502 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SY502 ) ) @ SY501 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SY500 )
!= ( ti @ arrow_1212486748le_alt @ SY503 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SY500 ) ) @ SY501 ) ) ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SY500 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SY501 ) @ SY502 ) @ SY503 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[521]) ).
thf(644,plain,
! [SV52: $i] :
( ( ! [SY504: $i,SY505: $i,SY506: $i,SY507: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV52 @ bool ) @ bool @ ( hAPP @ ( fun @ SV52 @ SY504 ) @ ( fun @ ( fun @ SV52 @ bool ) @ bool ) @ ( inj_on @ SV52 @ SY504 ) @ SY507 ) @ ( top_top @ ( fun @ SV52 @ bool ) ) ) )
| ~ ( ~ ( ( ( hAPP @ SV52 @ SY504 @ SY507 @ SY505 )
!= ( hAPP @ SV52 @ SY504 @ SY507 @ SY506 ) )
| ( ( ti @ SV52 @ SY505 )
= ( ti @ SV52 @ SY506 ) ) )
| ~ ( ( ( ti @ SV52 @ SY505 )
!= ( ti @ SV52 @ SY506 ) )
| ( ( hAPP @ SV52 @ SY504 @ SY507 @ SY505 )
= ( hAPP @ SV52 @ SY504 @ SY507 @ SY506 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[522]) ).
thf(645,plain,
! [SV53: $i] :
( ( ! [SY508: $i,SY509: $i,SY510: $i,SY511: $i,SY512: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ SV53 @ SY508 ) @ bool ) @ bool @ ( hAPP @ ( fun @ SV53 @ SY508 ) @ ( fun @ ( fun @ ( fun @ SV53 @ SY508 ) @ bool ) @ bool ) @ ( member @ ( fun @ SV53 @ SY508 ) ) @ SY510 ) @ ( hAPP @ ( fun @ SV53 @ ( fun @ SY508 @ bool ) ) @ ( fun @ ( fun @ SV53 @ SY508 ) @ bool ) @ ( hAPP @ ( fun @ SV53 @ bool ) @ ( fun @ ( fun @ SV53 @ ( fun @ SY508 @ bool ) ) @ ( fun @ ( fun @ SV53 @ SY508 ) @ bool ) ) @ ( pi @ SV53 @ SY508 ) @ SY511 ) @ ( hAPP @ ( fun @ SY508 @ bool ) @ ( fun @ SV53 @ ( fun @ SY508 @ bool ) ) @ ( combk @ ( fun @ SY508 @ bool ) @ SV53 ) @ SY512 ) ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV53 @ bool ) @ bool @ ( hAPP @ SV53 @ ( fun @ ( fun @ SV53 @ bool ) @ bool ) @ ( member @ SV53 ) @ SY509 ) @ SY511 ) )
| ( hBOOL @ ( hAPP @ ( fun @ SY508 @ bool ) @ bool @ ( hAPP @ SY508 @ ( fun @ ( fun @ SY508 @ bool ) @ bool ) @ ( member @ SY508 ) @ ( hAPP @ SV53 @ SY508 @ SY510 @ SY509 ) ) @ SY512 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[523]) ).
thf(646,plain,
! [SV54: $i] :
( ( ! [SY513: $i,SY514: $i,SY515: $i,SY516: $i,SY517: $i] :
( ~ ( ( ( ti @ arrow_1212486748le_alt @ SY516 )
!= ( ti @ arrow_1212486748le_alt @ SY517 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SY514 )
!= ( ti @ arrow_1212486748le_alt @ SY515 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SY513 ) @ arrow_1834574746e_Prof ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV54 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY518: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY516 ) @ SY517 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY513 @ SY518 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY514 ) @ SY515 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ SY518 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY514 ) @ SY515 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ SY518 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY516 ) @ SY517 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY513 @ SY518 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY516 ) @ SY517 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SY513 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY514 ) @ SY515 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY514 ) @ SY515 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY516 ) @ SY517 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SY513 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[524]) ).
thf(647,plain,
! [SV55: $i] :
( ( ~ ( ~ ( ~ ( hBOOL @ ( ti @ bool @ SV55 ) )
| ( hBOOL @ SV55 ) )
| ~ ( ~ ( hBOOL @ SV55 )
| ( hBOOL @ ( ti @ bool @ SV55 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[525]) ).
thf(648,plain,
! [SV56: $i] :
( ( ! [SY519: $i,SY520: $i,SY521: $i,SY522: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV56 @ bool ) @ bool @ ( hAPP @ ( fun @ SV56 @ SY519 ) @ ( fun @ ( fun @ SV56 @ bool ) @ bool ) @ ( inj_on @ SV56 @ SY519 ) @ SY521 ) @ SY522 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV56 @ bool ) @ bool @ ( hAPP @ SV56 @ ( fun @ ( fun @ SV56 @ bool ) @ bool ) @ ( member @ SV56 ) @ SY520 ) @ SY522 ) )
| ( ( hAPP @ SY519 @ SV56 @ ( hAPP @ ( fun @ SV56 @ SY519 ) @ ( fun @ SY519 @ SV56 ) @ ( hAPP @ ( fun @ SV56 @ bool ) @ ( fun @ ( fun @ SV56 @ SY519 ) @ ( fun @ SY519 @ SV56 ) ) @ ( hilbert_inv_into @ SV56 @ SY519 ) @ SY522 ) @ SY521 ) @ ( hAPP @ SV56 @ SY519 @ SY521 @ SY520 ) )
= ( ti @ SV56 @ SY520 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[526]) ).
thf(649,plain,
! [SV57: $i] :
( ( ~ ( ord @ SV57 )
| ! [SY523: $i,SY524: $i,SY525: $i] :
( ( SY524 != SY525 )
| ~ ( hBOOL @ ( hAPP @ SV57 @ bool @ ( hAPP @ SV57 @ ( fun @ SV57 @ bool ) @ ( ord_less @ SV57 ) @ SY525 ) @ SY523 ) )
| ( hBOOL @ ( hAPP @ SV57 @ bool @ ( hAPP @ SV57 @ ( fun @ SV57 @ bool ) @ ( ord_less @ SV57 ) @ SY524 ) @ SY523 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[527]) ).
thf(650,plain,
! [SV58: $i] :
( ( ~ ( preorder @ SV58 )
| ! [SY526: $i] :
~ ( hBOOL @ ( hAPP @ SV58 @ bool @ ( hAPP @ SV58 @ ( fun @ SV58 @ bool ) @ ( ord_less @ SV58 ) @ SY526 ) @ SY526 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[528]) ).
thf(651,plain,
( ( a = b )
= $false ),
inference(extcnf_not_pos,[status(thm)],[529]) ).
thf(652,plain,
! [SV59: $i] :
( ( ! [SY527: $i,SY528: $i,SY529: $i] :
( ~ ( ( ( ti @ arrow_1212486748le_alt @ SY528 )
!= ( ti @ arrow_1212486748le_alt @ SY529 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SY527 ) @ arrow_1834574746e_Prof ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV59 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY530: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY528 ) @ SY529 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY527 @ SY530 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY529 ) @ SY528 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ SY530 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY529 ) @ SY528 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ SY530 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY528 ) @ SY529 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY527 @ SY530 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY528 ) @ SY529 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SY527 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY529 ) @ SY528 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY529 ) @ SY528 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY528 ) @ SY529 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SY527 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[530]) ).
thf(653,plain,
! [SV60: $i] :
( ( ~ ( preorder @ SV60 )
| ! [SY531: $i,SY532: $i] :
( ~ ( hBOOL @ ( hAPP @ SV60 @ bool @ ( hAPP @ SV60 @ ( fun @ SV60 @ bool ) @ ( ord_less @ SV60 ) @ SY531 ) @ SY532 ) )
| ~ ( hBOOL @ ( hAPP @ SV60 @ bool @ ( hAPP @ SV60 @ ( fun @ SV60 @ bool ) @ ( ord_less @ SV60 ) @ SY532 ) @ SY531 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[531]) ).
thf(654,plain,
! [SV61: $i] :
( ( ~ ( order @ SV61 )
| ! [SY533: $i,SY534: $i] :
( ~ ( hBOOL @ ( hAPP @ SV61 @ bool @ ( hAPP @ SV61 @ ( fun @ SV61 @ bool ) @ ( ord_less @ SV61 ) @ SY533 ) @ SY534 ) )
| ~ ( hBOOL @ ( hAPP @ SV61 @ bool @ ( hAPP @ SV61 @ ( fun @ SV61 @ bool ) @ ( ord_less @ SV61 ) @ SY534 ) @ SY533 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[532]) ).
thf(655,plain,
! [SV62: $i] :
( ( ! [SY535: $i,SY536: $i,SY537: $i,SY538: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV62 @ bool ) @ bool @ ( hAPP @ ( fun @ SV62 @ SY535 ) @ ( fun @ ( fun @ SV62 @ bool ) @ bool ) @ ( inj_on @ SV62 @ SY535 ) @ SY538 ) @ ( top_top @ ( fun @ SV62 @ bool ) ) ) )
| ( ( hAPP @ SV62 @ SY535 @ SY538 @ SY536 )
!= ( ti @ SY535 @ SY537 ) )
| ( ( hAPP @ SY535 @ SV62 @ ( hAPP @ ( fun @ SV62 @ SY535 ) @ ( fun @ SY535 @ SV62 ) @ ( hAPP @ ( fun @ SV62 @ bool ) @ ( fun @ ( fun @ SV62 @ SY535 ) @ ( fun @ SY535 @ SV62 ) ) @ ( hilbert_inv_into @ SV62 @ SY535 ) @ ( top_top @ ( fun @ SV62 @ bool ) ) ) @ SY538 ) @ SY537 )
= ( ti @ SV62 @ SY536 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[533]) ).
thf(656,plain,
! [SV63: $i] :
( ( ! [SY539: $i] :
( ~ ( top @ SY539 )
| ! [SY540: $i] :
( ( hAPP @ SV63 @ SY539 @ ( top_top @ ( fun @ SV63 @ SY539 ) ) @ SY540 )
= ( top_top @ SY539 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[534]) ).
thf(657,plain,
! [SV64: $i] :
( ( ~ ( preorder @ SV64 )
| ! [SY541: $i,SY542: $i,SY543: $i] :
( ~ ( hBOOL @ ( hAPP @ SV64 @ bool @ ( hAPP @ SV64 @ ( fun @ SV64 @ bool ) @ ( ord_less @ SV64 ) @ SY542 ) @ SY543 ) )
| ~ ( hBOOL @ ( hAPP @ SV64 @ bool @ ( hAPP @ SV64 @ ( fun @ SV64 @ bool ) @ ( ord_less @ SV64 ) @ SY543 ) @ SY541 ) )
| ( hBOOL @ ( hAPP @ SV64 @ bool @ ( hAPP @ SV64 @ ( fun @ SV64 @ bool ) @ ( ord_less @ SV64 ) @ SY542 ) @ SY541 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[535]) ).
thf(658,plain,
! [SV65: $i] :
( ( ! [SY544: $i,SY545: $i,SY546: $i,SY547: $i,SY548: $i] :
( ( ( hAPP @ SV65 @ ( product_prod @ SY544 @ SV65 ) @ ( hAPP @ SY544 @ ( fun @ SV65 @ ( product_prod @ SY544 @ SV65 ) ) @ ( product_Pair @ SY544 @ SV65 ) @ SY545 ) @ SY546 )
!= ( hAPP @ SV65 @ ( product_prod @ SY544 @ SV65 ) @ ( hAPP @ SY544 @ ( fun @ SV65 @ ( product_prod @ SY544 @ SV65 ) ) @ ( product_Pair @ SY544 @ SV65 ) @ SY547 ) @ SY548 ) )
| ~ ( ( ( ti @ SY544 @ SY545 )
!= ( ti @ SY544 @ SY547 ) )
| ( ( ti @ SV65 @ SY546 )
!= ( ti @ SV65 @ SY548 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[536]) ).
thf(659,plain,
! [SV66: $i] :
( ( ! [SY549: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SY549 ) @ arrow_638930832le_Lin ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ SY549 ) @ SV66 ) ) @ arrow_638930832le_Lin ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[537]) ).
thf(660,plain,
! [SV67: $i] :
( ( ~ ( linorder @ SV67 )
| ! [SY550: $i,SY551: $i] :
~ ( ~ ( ~ ( ( ( ti @ SV67 @ SY550 )
!= ( ti @ SV67 @ SY551 ) ) )
| ( hBOOL @ ( hAPP @ SV67 @ bool @ ( hAPP @ SV67 @ ( fun @ SV67 @ bool ) @ ( ord_less @ SV67 ) @ SY550 ) @ SY551 ) )
| ( hBOOL @ ( hAPP @ SV67 @ bool @ ( hAPP @ SV67 @ ( fun @ SV67 @ bool ) @ ( ord_less @ SV67 ) @ SY551 ) @ SY550 ) ) )
| ~ ( ~ ( ( hBOOL @ ( hAPP @ SV67 @ bool @ ( hAPP @ SV67 @ ( fun @ SV67 @ bool ) @ ( ord_less @ SV67 ) @ SY550 ) @ SY551 ) )
| ( hBOOL @ ( hAPP @ SV67 @ bool @ ( hAPP @ SV67 @ ( fun @ SV67 @ bool ) @ ( ord_less @ SV67 ) @ SY551 ) @ SY550 ) ) )
| ( ( ti @ SV67 @ SY550 )
!= ( ti @ SV67 @ SY551 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[538]) ).
thf(661,plain,
! [SV68: $i] :
( ( ~ ( order @ SV68 )
| ! [SY552: $i,SY553: $i,SY554: $i] :
( ~ ( hBOOL @ ( hAPP @ SV68 @ bool @ ( hAPP @ SV68 @ ( fun @ SV68 @ bool ) @ ( ord_less @ SV68 ) @ SY553 ) @ SY554 ) )
| ( SY553 != SY552 )
| ( hBOOL @ ( hAPP @ SV68 @ bool @ ( hAPP @ SV68 @ ( fun @ SV68 @ bool ) @ ( ord_less @ SV68 ) @ SY552 ) @ SY554 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[539]) ).
thf(662,plain,
! [SV69: $i] :
( ( ! [SY555: $i,SY556: $i,SY557: $i,SY558: $i,SY559: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV69 @ bool ) @ bool @ ( hAPP @ ( fun @ SV69 @ SY555 ) @ ( fun @ ( fun @ SV69 @ bool ) @ bool ) @ ( inj_on @ SV69 @ SY555 ) @ SY558 ) @ SY559 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV69 @ bool ) @ bool @ ( hAPP @ SV69 @ ( fun @ ( fun @ SV69 @ bool ) @ bool ) @ ( member @ SV69 ) @ SY557 ) @ SY559 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV69 @ bool ) @ bool @ ( hAPP @ SV69 @ ( fun @ ( fun @ SV69 @ bool ) @ bool ) @ ( member @ SV69 ) @ SY556 ) @ SY559 ) )
| ~ ( ~ ( ( ( hAPP @ SV69 @ SY555 @ SY558 @ SY557 )
!= ( hAPP @ SV69 @ SY555 @ SY558 @ SY556 ) )
| ( ( ti @ SV69 @ SY557 )
= ( ti @ SV69 @ SY556 ) ) )
| ~ ( ( ( ti @ SV69 @ SY557 )
!= ( ti @ SV69 @ SY556 ) )
| ( ( hAPP @ SV69 @ SY555 @ SY558 @ SY557 )
= ( hAPP @ SV69 @ SY555 @ SY558 @ SY556 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[540]) ).
thf(663,plain,
! [SV70: $i] :
( ( ! [SY560: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ arrow_1384031255e_indi @ bool @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ bool ) @ arrow_1990387629ctator @ SV70 ) @ SY560 ) )
| ! [SY561: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SY561 ) @ arrow_1834574746e_Prof ) )
| ( ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV70 @ SY561 )
= ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY561 @ SY560 ) ) ) )
| ~ ( ~ ! [SY562: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SY562 ) @ arrow_1834574746e_Prof ) )
| ( ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV70 @ SY562 )
= ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY562 @ SY560 ) ) )
| ( hBOOL @ ( hAPP @ arrow_1384031255e_indi @ bool @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ bool ) @ arrow_1990387629ctator @ SV70 ) @ SY560 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[541]) ).
thf(664,plain,
! [SV71: $i] :
( ( ~ ( linorder @ SV71 )
| ! [SY563: $i,SY564: $i] :
( ~ ( ( ( ti @ SV71 @ SY563 )
!= ( ti @ SV71 @ SY564 ) ) )
| ~ ~ ( hBOOL @ ( hAPP @ SV71 @ bool @ ( hAPP @ SV71 @ ( fun @ SV71 @ bool ) @ ( ord_less @ SV71 ) @ SY563 ) @ SY564 ) )
| ( hBOOL @ ( hAPP @ SV71 @ bool @ ( hAPP @ SV71 @ ( fun @ SV71 @ bool ) @ ( ord_less @ SV71 ) @ SY564 ) @ SY563 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[542]) ).
thf(665,plain,
! [SV72: $i] :
( ( ~ ( order @ SV72 )
| ! [SY565: $i,SY566: $i] :
( ~ ( hBOOL @ ( hAPP @ SV72 @ bool @ ( hAPP @ SV72 @ ( fun @ SV72 @ bool ) @ ( ord_less @ SV72 ) @ SY565 ) @ SY566 ) )
| ( SY566 != SY565 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[543]) ).
thf(666,plain,
! [SV73: $i] :
( ( ~ ( top @ SV73 )
| ! [SY567: $i] :
~ ( hBOOL @ ( hAPP @ SV73 @ bool @ ( hAPP @ SV73 @ ( fun @ SV73 @ bool ) @ ( ord_less @ SV73 ) @ ( top_top @ SV73 ) ) @ SY567 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[544]) ).
thf(667,plain,
! [SV74: $i] :
( ( ~ ( preorder @ SV74 )
| ! [SY568: $i,SY569: $i] :
( ~ ( hBOOL @ ( hAPP @ SV74 @ bool @ ( hAPP @ SV74 @ ( fun @ SV74 @ bool ) @ ( ord_less @ SV74 ) @ SY568 ) @ SY569 ) )
| ~ ( hBOOL @ ( hAPP @ SV74 @ bool @ ( hAPP @ SV74 @ ( fun @ SV74 @ bool ) @ ( ord_less @ SV74 ) @ SY569 ) @ SY568 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[545]) ).
thf(668,plain,
! [SV75: $i] :
( ( ~ ( ~ ( ~ ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) ) )
| ~ ( ~ ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[546]) ).
thf(669,plain,
( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( ord_less @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_992993526_mktop ) @ p ) ) @ e ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( fequal @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ arrow_1726925404_above ) @ p ) ) @ c ) ) @ e ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_844286440_mkbot ) @ p ) ) @ e ) ) ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combc @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( ord_less @ nat ) ) @ h ) ) @ n ) ) ) @ lab ) ) @ lba ) ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combc @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( ord_less @ nat ) ) @ h ) ) @ n ) ) ) @ lab ) ) @ lba ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( ord_less @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_992993526_mktop ) @ p ) ) @ e ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( fequal @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ arrow_1726925404_above ) @ p ) ) @ c ) ) @ e ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_844286440_mkbot ) @ p ) ) @ e ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[547]) ).
thf(670,plain,
! [SV76: $i] :
( ( ! [SY570: $i,SY571: $i] :
( ( ( ti @ SV76 @ SY570 )
!= ( ti @ SV76 @ SY571 ) )
| ( hBOOL @ ( hAPP @ SV76 @ bool @ ( hAPP @ SV76 @ ( fun @ SV76 @ bool ) @ ( fequal @ SV76 ) @ SY570 ) @ SY571 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[548]) ).
thf(671,plain,
! [SV77: $i] :
( ( ! [SY572: $i,SY573: $i,SY574: $i,SY575: $i,SY576: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV77 @ bool ) @ bool @ ( hAPP @ ( fun @ SV77 @ SY572 ) @ ( fun @ ( fun @ SV77 @ bool ) @ bool ) @ ( inj_on @ SV77 @ SY572 ) @ SY575 ) @ SY576 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV77 @ bool ) @ bool @ ( hAPP @ SV77 @ ( fun @ ( fun @ SV77 @ bool ) @ bool ) @ ( member @ SV77 ) @ SY574 ) @ SY576 ) )
| ( ( hAPP @ SV77 @ SY572 @ SY575 @ SY574 )
!= ( ti @ SY572 @ SY573 ) )
| ( ( hAPP @ SY572 @ SV77 @ ( hAPP @ ( fun @ SV77 @ SY572 ) @ ( fun @ SY572 @ SV77 ) @ ( hAPP @ ( fun @ SV77 @ bool ) @ ( fun @ ( fun @ SV77 @ SY572 ) @ ( fun @ SY572 @ SV77 ) ) @ ( hilbert_inv_into @ SV77 @ SY572 ) @ SY576 ) @ SY575 ) @ SY573 )
= ( ti @ SV77 @ SY574 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[549]) ).
thf(672,plain,
! [SV78: $i] :
( ( ! [SY577: $i,SY578: $i] :
( ~ ! [SY579: $i,SY580: $i] :
( ( ( hAPP @ SV78 @ SY577 @ SY578 @ SY579 )
!= ( hAPP @ SV78 @ SY577 @ SY578 @ SY580 ) )
| ( ( ti @ SV78 @ SY579 )
= ( ti @ SV78 @ SY580 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ SV78 @ bool ) @ bool @ ( hAPP @ ( fun @ SV78 @ SY577 ) @ ( fun @ ( fun @ SV78 @ bool ) @ bool ) @ ( inj_on @ SV78 @ SY577 ) @ SY578 ) @ ( top_top @ ( fun @ SV78 @ bool ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[550]) ).
thf(673,plain,
! [SV79: $i] :
( ( ! [SY581: $i,SY582: $i,SY583: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV79 @ bool ) @ bool @ ( hAPP @ ( fun @ SV79 @ SY581 ) @ ( fun @ ( fun @ SV79 @ bool ) @ bool ) @ ( inj_on @ SV79 @ SY581 ) @ SY583 ) @ ( top_top @ ( fun @ SV79 @ bool ) ) ) )
| ~ ! [SY584: $i] :
( ( hAPP @ SV79 @ SY581 @ SY583 @ ( hAPP @ SY581 @ SV79 @ SY582 @ SY584 ) )
= ( ti @ SY581 @ SY584 ) )
| ( ( hAPP @ ( fun @ SV79 @ SY581 ) @ ( fun @ SY581 @ SV79 ) @ ( hAPP @ ( fun @ SV79 @ bool ) @ ( fun @ ( fun @ SV79 @ SY581 ) @ ( fun @ SY581 @ SV79 ) ) @ ( hilbert_inv_into @ SV79 @ SY581 ) @ ( top_top @ ( fun @ SV79 @ bool ) ) ) @ SY583 )
= ( ti @ ( fun @ SY581 @ SV79 ) @ SY582 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[551]) ).
thf(674,plain,
! [SV80: $i] :
( ( ! [SY585: $i,SY586: $i] :
( ~ ( ( ( ti @ arrow_1212486748le_alt @ SY585 )
!= ( ti @ arrow_1212486748le_alt @ SY586 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV80 ) @ arrow_638930832le_Lin ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV80 ) @ SY585 ) @ SY586 ) ) @ arrow_638930832le_Lin ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[552]) ).
thf(675,plain,
! [SV81: $i] :
( ( ! [SY587: $i,SY588: $i,SY589: $i,SY590: $i,SY591: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV81 @ bool ) @ bool @ ( hAPP @ ( fun @ SV81 @ SY587 ) @ ( fun @ ( fun @ SV81 @ bool ) @ bool ) @ ( inj_on @ SV81 @ SY587 ) @ SY590 ) @ SY591 ) )
| ~ ( ( ( ti @ SV81 @ SY588 )
!= ( ti @ SV81 @ SY589 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV81 @ bool ) @ bool @ ( hAPP @ SV81 @ ( fun @ ( fun @ SV81 @ bool ) @ bool ) @ ( member @ SV81 ) @ SY588 ) @ SY591 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV81 @ bool ) @ bool @ ( hAPP @ SV81 @ ( fun @ ( fun @ SV81 @ bool ) @ bool ) @ ( member @ SV81 ) @ SY589 ) @ SY591 ) )
| ( ( hAPP @ SV81 @ SY587 @ SY590 @ SY588 )
!= ( hAPP @ SV81 @ SY587 @ SY590 @ SY589 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[553]) ).
thf(676,plain,
! [SV82: $i] :
( ( ! [SY592: $i,SY593: $i,SY594: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SY592 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ SY593 ) @ SY594 ) ) )
| ~ ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SY592 )
!= ( ti @ arrow_1212486748le_alt @ SY594 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SY594 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SY592 ) ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SY594 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SY592 ) ) @ SY593 ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SY592 )
!= ( ti @ arrow_1212486748le_alt @ SY594 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SY594 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SY592 ) ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SY594 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SY592 ) ) @ SY593 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SY592 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ SY593 ) @ SY594 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[554]) ).
thf(677,plain,
! [SV83: $i] :
( ( ! [SY595: $i,SY596: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SY596 ) @ arrow_638930832le_Lin ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV83 ) @ SY595 ) ) @ SY596 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY595 ) @ SV83 ) ) @ SY596 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[555]) ).
thf(678,plain,
! [SV84: $i] :
( ( ! [SY597: $i,SY598: $i,SY599: $i,SY600: $i,SY601: $i] :
( ~ ( ( ( ti @ arrow_1212486748le_alt @ SY600 )
!= ( ti @ arrow_1212486748le_alt @ SY601 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SY598 )
!= ( ti @ arrow_1212486748le_alt @ SY599 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SY600 )
!= ( ti @ arrow_1212486748le_alt @ SY599 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SY601 )
!= ( ti @ arrow_1212486748le_alt @ SY598 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SY597 ) @ arrow_1834574746e_Prof ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV84 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY602: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY600 ) @ SY601 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY597 @ SY602 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY598 ) @ SY599 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ SY602 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY598 ) @ SY599 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ SY602 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY600 ) @ SY601 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY597 @ SY602 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY600 ) @ SY601 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SY597 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY598 ) @ SY599 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY598 ) @ SY599 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY600 ) @ SY601 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SY597 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[556]) ).
thf(679,plain,
! [SV85: $i] :
( ( ~ ( ord @ SV85 )
| ! [SY603: $i,SY604: $i,SY605: $i] :
( ~ ( hBOOL @ ( hAPP @ SV85 @ bool @ ( hAPP @ SV85 @ ( fun @ SV85 @ bool ) @ ( ord_less @ SV85 ) @ SY604 ) @ SY605 ) )
| ( SY605 != SY603 )
| ( hBOOL @ ( hAPP @ SV85 @ bool @ ( hAPP @ SV85 @ ( fun @ SV85 @ bool ) @ ( ord_less @ SV85 ) @ SY604 ) @ SY603 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[557]) ).
thf(680,plain,
! [SV86: $i] :
( ( ! [SY606: $i] :
( ~ ( order @ SY606 )
| ( order @ ( fun @ SV86 @ SY606 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[558]) ).
thf(681,plain,
! [SV87: $i] :
( ( ~ ( order @ SV87 )
| ! [SY607: $i,SY608: $i,SY609: $i] :
( ( SY608 != SY609 )
| ~ ( hBOOL @ ( hAPP @ SV87 @ bool @ ( hAPP @ SV87 @ ( fun @ SV87 @ bool ) @ ( ord_less @ SV87 ) @ SY607 ) @ SY609 ) )
| ( hBOOL @ ( hAPP @ SV87 @ bool @ ( hAPP @ SV87 @ ( fun @ SV87 @ bool ) @ ( ord_less @ SV87 ) @ SY607 ) @ SY608 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[559]) ).
thf(682,plain,
! [SV88: $i] :
( ( ~ ( linorder @ SV88 )
| ! [SY610: $i,SY611: $i] :
( ~ ~ ( hBOOL @ ( hAPP @ SV88 @ bool @ ( hAPP @ SV88 @ ( fun @ SV88 @ bool ) @ ( ord_less @ SV88 ) @ SY610 ) @ SY611 ) )
| ~ ( ( ( ti @ SV88 @ SY610 )
!= ( ti @ SV88 @ SY611 ) ) )
| ( hBOOL @ ( hAPP @ SV88 @ bool @ ( hAPP @ SV88 @ ( fun @ SV88 @ bool ) @ ( ord_less @ SV88 ) @ SY611 ) @ SY610 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[560]) ).
thf(683,plain,
! [SV89: $i] :
( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
| ! [SY612: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SY612 ) @ arrow_1834574746e_Prof ) )
| ! [SY613: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SY613 ) @ arrow_1834574746e_Prof ) )
| ! [SY614: $i,SY615: $i] :
( ~ ! [SX5: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY614 ) @ SY615 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY612 @ SX5 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY614 ) @ SY615 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY613 @ SX5 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY614 ) @ SY615 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY613 @ SX5 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY614 ) @ SY615 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY612 @ SX5 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY614 ) @ SY615 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SY612 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY614 ) @ SY615 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SY613 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY614 ) @ SY615 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SY613 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY614 ) @ SY615 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SY612 ) ) ) ) ) ) ) ) )
| ~ ( ~ ! [SY617: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SY617 ) @ arrow_1834574746e_Prof ) )
| ! [SY618: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SY618 ) @ arrow_1834574746e_Prof ) )
| ! [SY619: $i,SY620: $i] :
( ~ ! [SX5: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY619 ) @ SY620 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY617 @ SX5 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY619 ) @ SY620 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY618 @ SX5 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY619 ) @ SY620 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY618 @ SX5 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY619 ) @ SY620 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY617 @ SX5 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY619 ) @ SY620 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SY617 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY619 ) @ SY620 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SY618 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY619 ) @ SY620 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SY618 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY619 ) @ SY620 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SY617 ) ) ) ) ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[561]) ).
thf(684,plain,
! [SV90: $i] :
( ( ! [SY622: $i,SY623: $i] :
~ ( ~ ( ~ ! [SY624: $i] : ( hBOOL @ ( hAPP @ ( product_prod @ SV90 @ SY622 ) @ bool @ SY623 @ SY624 ) )
| ! [SY625: $i,SY626: $i] : ( hBOOL @ ( hAPP @ ( product_prod @ SV90 @ SY622 ) @ bool @ SY623 @ ( hAPP @ SY622 @ ( product_prod @ SV90 @ SY622 ) @ ( hAPP @ SV90 @ ( fun @ SY622 @ ( product_prod @ SV90 @ SY622 ) ) @ ( product_Pair @ SV90 @ SY622 ) @ SY625 ) @ SY626 ) ) ) )
| ~ ( ~ ! [SY627: $i,SY628: $i] : ( hBOOL @ ( hAPP @ ( product_prod @ SV90 @ SY622 ) @ bool @ SY623 @ ( hAPP @ SY622 @ ( product_prod @ SV90 @ SY622 ) @ ( hAPP @ SV90 @ ( fun @ SY622 @ ( product_prod @ SV90 @ SY622 ) ) @ ( product_Pair @ SV90 @ SY622 ) @ SY627 ) @ SY628 ) ) )
| ! [SY629: $i] : ( hBOOL @ ( hAPP @ ( product_prod @ SV90 @ SY622 ) @ bool @ SY623 @ SY629 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[562]) ).
thf(685,plain,
! [SV91: $i] :
( ( ~ ( top @ SV91 )
| ( ( ti @ SV91 @ ( top_top @ SV91 ) )
= ( top_top @ SV91 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[563]) ).
thf(686,plain,
! [SV92: $i] :
( ( ! [SY630: $i] :
( ~ ( ord @ SY630 )
| ( ord @ ( fun @ SV92 @ SY630 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[564]) ).
thf(687,plain,
! [SV93: $i] :
( ( ! [SY631: $i,SY632: $i,SY633: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ ( fun @ SV93 @ SY631 ) @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( inj_on @ SV93 @ SY631 ) @ SY632 ) @ SY633 ) )
| ! [SY634: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ SV93 @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( member @ SV93 ) @ SY634 ) @ SY633 ) )
| ! [SY635: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ SV93 @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( member @ SV93 ) @ SY635 ) @ SY633 ) )
| ( ( hAPP @ SV93 @ SY631 @ SY632 @ SY634 )
!= ( hAPP @ SV93 @ SY631 @ SY632 @ SY635 ) )
| ( ( ti @ SV93 @ SY634 )
= ( ti @ SV93 @ SY635 ) ) ) ) )
| ~ ( ~ ! [SY636: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ SV93 @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( member @ SV93 ) @ SY636 ) @ SY633 ) )
| ! [SY637: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ SV93 @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( member @ SV93 ) @ SY637 ) @ SY633 ) )
| ( ( hAPP @ SV93 @ SY631 @ SY632 @ SY636 )
!= ( hAPP @ SV93 @ SY631 @ SY632 @ SY637 ) )
| ( ( ti @ SV93 @ SY636 )
= ( ti @ SV93 @ SY637 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ ( fun @ SV93 @ SY631 ) @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( inj_on @ SV93 @ SY631 ) @ SY632 ) @ SY633 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[565]) ).
thf(688,plain,
( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ p ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( ord_less @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_992993526_mktop ) @ p ) ) @ e ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( fequal @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ arrow_1726925404_above ) @ p ) ) @ c ) ) @ e ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_844286440_mkbot ) @ p ) ) @ e ) ) ) ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( ord_less @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_992993526_mktop ) @ p ) ) @ e ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( fequal @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ arrow_1726925404_above ) @ p ) ) @ c ) ) @ e ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_844286440_mkbot ) @ p ) ) @ e ) ) ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ p ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[566]) ).
thf(689,plain,
! [SV94: $i] :
( ( ~ ( order @ SV94 )
| ! [SY638: $i,SY639: $i,SY640: $i] :
( ~ ( hBOOL @ ( hAPP @ SV94 @ bool @ ( hAPP @ SV94 @ ( fun @ SV94 @ bool ) @ ( ord_less @ SV94 ) @ SY639 ) @ SY640 ) )
| ~ ( hBOOL @ ( hAPP @ SV94 @ bool @ ( hAPP @ SV94 @ ( fun @ SV94 @ bool ) @ ( ord_less @ SV94 ) @ SY638 ) @ SY639 ) )
| ( hBOOL @ ( hAPP @ SV94 @ bool @ ( hAPP @ SV94 @ ( fun @ SV94 @ bool ) @ ( ord_less @ SV94 ) @ SY638 ) @ SY640 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[567]) ).
thf(690,plain,
! [SV95: $i] :
( ( ~ ( ord @ SV95 )
| ( ( ti @ ( fun @ SV95 @ ( fun @ SV95 @ bool ) ) @ ( ord_less @ SV95 ) )
= ( ord_less @ SV95 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[568]) ).
thf(691,plain,
! [SV96: $i] :
( ( ! [SY641: $i,SY642: $i,SY643: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV96 @ bool ) @ bool @ ( hAPP @ ( fun @ SV96 @ SY641 ) @ ( fun @ ( fun @ SV96 @ bool ) @ bool ) @ ( inj_on @ SV96 @ SY641 ) @ SY643 ) @ ( top_top @ ( fun @ SV96 @ bool ) ) ) )
| ( ( hAPP @ SY641 @ SV96 @ ( hAPP @ ( fun @ SV96 @ SY641 ) @ ( fun @ SY641 @ SV96 ) @ ( hAPP @ ( fun @ SV96 @ bool ) @ ( fun @ ( fun @ SV96 @ SY641 ) @ ( fun @ SY641 @ SV96 ) ) @ ( hilbert_inv_into @ SV96 @ SY641 ) @ ( top_top @ ( fun @ SV96 @ bool ) ) ) @ SY643 ) @ ( hAPP @ SV96 @ SY641 @ SY643 @ SY642 ) )
= ( ti @ SV96 @ SY642 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[569]) ).
thf(692,plain,
! [SV97: $i] :
( ( ! [SY644: $i,SY645: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SY645 ) @ arrow_638930832le_Lin ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV97 )
!= ( ti @ arrow_1212486748le_alt @ SY644 ) ) )
| ~ ( ~ ( ~ ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV97 ) @ SY644 ) ) @ SY645 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY644 ) @ SV97 ) ) @ SY645 ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY644 ) @ SV97 ) ) @ SY645 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV97 ) @ SY644 ) ) @ SY645 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[570]) ).
thf(693,plain,
! [SV98: $i] :
( ( ~ ( linorder @ SV98 )
| ! [SY646: $i,SY647: $i] :
( ~ ~ ( hBOOL @ ( hAPP @ SV98 @ bool @ ( hAPP @ SV98 @ ( fun @ SV98 @ bool ) @ ( ord_less @ SV98 ) @ SY646 ) @ SY647 ) )
| ~ ( ~ ( ~ ~ ( hBOOL @ ( hAPP @ SV98 @ bool @ ( hAPP @ SV98 @ ( fun @ SV98 @ bool ) @ ( ord_less @ SV98 ) @ SY647 ) @ SY646 ) )
| ( ( ti @ SV98 @ SY647 )
= ( ti @ SV98 @ SY646 ) ) )
| ~ ( ( ( ti @ SV98 @ SY647 )
!= ( ti @ SV98 @ SY646 ) )
| ~ ( hBOOL @ ( hAPP @ SV98 @ bool @ ( hAPP @ SV98 @ ( fun @ SV98 @ bool ) @ ( ord_less @ SV98 ) @ SY647 ) @ SY646 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[571]) ).
thf(694,plain,
! [SV99: $i] :
( ( ! [SY648: $i,SY649: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV99 @ bool ) @ bool @ ( hAPP @ SV99 @ ( fun @ ( fun @ SV99 @ bool ) @ bool ) @ ( member @ SV99 ) @ SY648 ) @ SY649 ) )
| ( hBOOL @ ( hAPP @ SV99 @ bool @ SY649 @ SY648 ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ SV99 @ bool @ SY649 @ SY648 ) )
| ( hBOOL @ ( hAPP @ ( fun @ SV99 @ bool ) @ bool @ ( hAPP @ SV99 @ ( fun @ ( fun @ SV99 @ bool ) @ bool ) @ ( member @ SV99 ) @ SY648 ) @ SY649 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[572]) ).
thf(695,plain,
! [SV100: $i] :
( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) ) ) ) ) ) )
| ~ ( ~ ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) ) ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[573]) ).
thf(696,plain,
! [SV101: $i] :
( ( ! [SY650: $i,SY651: $i,SY652: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SY650 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ SY651 ) @ SY652 ) ) )
| ~ ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV101 )
!= ( ti @ arrow_1212486748le_alt @ SY652 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SY650 )
!= ( ti @ arrow_1212486748le_alt @ SY652 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV101 )
!= ( ti @ arrow_1212486748le_alt @ SY650 ) ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SY650 )
!= ( ti @ arrow_1212486748le_alt @ SY652 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SY650 ) ) @ SY651 ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV101 )
!= ( ti @ arrow_1212486748le_alt @ SY652 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SY650 )
!= ( ti @ arrow_1212486748le_alt @ SY652 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV101 )
!= ( ti @ arrow_1212486748le_alt @ SY650 ) ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SY650 )
!= ( ti @ arrow_1212486748le_alt @ SY652 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SY650 ) ) @ SY651 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SY650 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ SY651 ) @ SY652 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[574]) ).
thf(697,plain,
! [SV102: $i] :
( ( ~ ( preorder @ SV102 )
| ! [SY653: $i,SY654: $i] :
( ~ ( hBOOL @ ( hAPP @ SV102 @ bool @ ( hAPP @ SV102 @ ( fun @ SV102 @ bool ) @ ( ord_less @ SV102 ) @ SY653 ) @ SY654 ) )
| ~ ( hBOOL @ ( hAPP @ SV102 @ bool @ ( hAPP @ SV102 @ ( fun @ SV102 @ bool ) @ ( ord_less @ SV102 ) @ SY654 ) @ SY653 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[575]) ).
thf(698,plain,
! [SV103: $i] :
( ( ~ ( linorder @ SV103 )
| ! [SY655: $i,SY656: $i] :
~ ( ~ ( ~ ~ ( hBOOL @ ( hAPP @ SV103 @ bool @ ( hAPP @ SV103 @ ( fun @ SV103 @ bool ) @ ( ord_less @ SV103 ) @ SY655 ) @ SY656 ) )
| ( hBOOL @ ( hAPP @ SV103 @ bool @ ( hAPP @ SV103 @ ( fun @ SV103 @ bool ) @ ( ord_less @ SV103 ) @ SY656 ) @ SY655 ) )
| ( ( ti @ SV103 @ SY655 )
= ( ti @ SV103 @ SY656 ) ) )
| ~ ( ~ ( ( hBOOL @ ( hAPP @ SV103 @ bool @ ( hAPP @ SV103 @ ( fun @ SV103 @ bool ) @ ( ord_less @ SV103 ) @ SY656 ) @ SY655 ) )
| ( ( ti @ SV103 @ SY655 )
= ( ti @ SV103 @ SY656 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV103 @ bool @ ( hAPP @ SV103 @ ( fun @ SV103 @ bool ) @ ( ord_less @ SV103 ) @ SY655 ) @ SY656 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[576]) ).
thf(699,plain,
! [SV104: $i] :
( ( ! [SY657: $i,SY658: $i,SY659: $i,SY660: $i,SY661: $i] :
( ~ ( ( ( ti @ arrow_1212486748le_alt @ SY660 )
!= ( ti @ arrow_1212486748le_alt @ SY661 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SY658 )
!= ( ti @ arrow_1212486748le_alt @ SY659 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SY660 )
!= ( ti @ arrow_1212486748le_alt @ SY659 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SY661 )
!= ( ti @ arrow_1212486748le_alt @ SY658 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SY657 ) @ arrow_1834574746e_Prof ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV104 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY662: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY660 ) @ SY661 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY657 @ SY662 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY658 ) @ SY659 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV104 @ SY662 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY658 ) @ SY659 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV104 @ SY662 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY660 ) @ SY661 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY657 @ SY662 ) ) ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY660 ) @ SY661 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SY657 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY658 ) @ SY659 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV104 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[577]) ).
thf(700,plain,
! [SV105: $i] :
( ( ~ ( order @ SV105 )
| ! [SY663: $i,SY664: $i] :
( ~ ( hBOOL @ ( hAPP @ SV105 @ bool @ ( hAPP @ SV105 @ ( fun @ SV105 @ bool ) @ ( ord_less @ SV105 ) @ SY663 ) @ SY664 ) )
| ( SY663 != SY664 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[578]) ).
thf(701,plain,
! [SV106: $i] :
( ( ! [SY665: $i,SY666: $i,SY667: $i,SY668: $i] :
( ~ ( ( ( ti @ arrow_1212486748le_alt @ SY667 )
!= ( ti @ arrow_1212486748le_alt @ SY668 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SY668 )
!= ( ti @ arrow_1212486748le_alt @ SY666 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SY667 )
!= ( ti @ arrow_1212486748le_alt @ SY666 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SY665 ) @ arrow_1834574746e_Prof ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV106 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY669: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY667 ) @ SY668 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY665 @ SY669 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY668 ) @ SY666 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ SY669 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY668 ) @ SY666 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ SY669 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY667 ) @ SY668 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY665 @ SY669 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY667 ) @ SY668 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SY665 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY668 ) @ SY666 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY668 ) @ SY666 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY667 ) @ SY668 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SY665 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[579]) ).
thf(702,plain,
! [SV107: $i] :
( ( ~ ( linorder @ SV107 )
| ! [SY670: $i,SY671: $i] :
( ( hBOOL @ ( hAPP @ SV107 @ bool @ ( hAPP @ SV107 @ ( fun @ SV107 @ bool ) @ ( ord_less @ SV107 ) @ SY670 ) @ SY671 ) )
| ( ( ti @ SV107 @ SY670 )
= ( ti @ SV107 @ SY671 ) )
| ( hBOOL @ ( hAPP @ SV107 @ bool @ ( hAPP @ SV107 @ ( fun @ SV107 @ bool ) @ ( ord_less @ SV107 ) @ SY671 ) @ SY670 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[580]) ).
thf(703,plain,
! [SV108: $i] :
( ( ! [SY672: $i] :
( ~ ( preorder @ SY672 )
| ( preorder @ ( fun @ SV108 @ SY672 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[581]) ).
thf(704,plain,
! [SV109: $i] :
( ( ! [SY673: $i,SY674: $i,SY675: $i,SY676: $i,SY677: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV109 @ bool ) @ bool @ ( hAPP @ ( fun @ SV109 @ SY673 ) @ ( fun @ ( fun @ SV109 @ bool ) @ bool ) @ ( inj_on @ SV109 @ SY673 ) @ SY676 ) @ SY677 ) )
| ( ( hAPP @ SV109 @ SY673 @ SY676 @ SY674 )
!= ( hAPP @ SV109 @ SY673 @ SY676 @ SY675 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV109 @ bool ) @ bool @ ( hAPP @ SV109 @ ( fun @ ( fun @ SV109 @ bool ) @ bool ) @ ( member @ SV109 ) @ SY674 ) @ SY677 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV109 @ bool ) @ bool @ ( hAPP @ SV109 @ ( fun @ ( fun @ SV109 @ bool ) @ bool ) @ ( member @ SV109 ) @ SY675 ) @ SY677 ) )
| ( ( ti @ SV109 @ SY674 )
= ( ti @ SV109 @ SY675 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[582]) ).
thf(705,plain,
! [SV110: $i] :
( ( ~ ( preorder @ SV110 )
| ! [SY678: $i,SY679: $i] :
( ~ ( hBOOL @ ( hAPP @ SV110 @ bool @ ( hAPP @ SV110 @ ( fun @ SV110 @ bool ) @ ( ord_less @ SV110 ) @ SY678 ) @ SY679 ) )
| ~ ( hBOOL @ ( hAPP @ SV110 @ bool @ ( hAPP @ SV110 @ ( fun @ SV110 @ bool ) @ ( ord_less @ SV110 ) @ SY679 ) @ SY678 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[583]) ).
thf(706,plain,
! [SV111: $i] :
( ( ~ ( preorder @ SV111 )
| ! [SY680: $i,SY681: $i,SY682: $i] :
( ~ ( hBOOL @ ( hAPP @ SV111 @ bool @ ( hAPP @ SV111 @ ( fun @ SV111 @ bool ) @ ( ord_less @ SV111 ) @ SY681 ) @ SY682 ) )
| ~ ( hBOOL @ ( hAPP @ SV111 @ bool @ ( hAPP @ SV111 @ ( fun @ SV111 @ bool ) @ ( ord_less @ SV111 ) @ SY682 ) @ SY681 ) )
| ( hBOOL @ SY680 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[584]) ).
thf(707,plain,
! [SV112: $i] :
( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV112 ) @ arrow_638930832le_Lin ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( combk @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ arrow_1384031255e_indi ) @ SV112 ) ) @ arrow_1834574746e_Prof ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[585]) ).
thf(708,plain,
! [SV113: $i] :
( ( ~ ( top @ SV113 )
| ! [SY683: $i] :
~ ( ~ ( ~ ( ( ( ti @ SV113 @ SY683 )
!= ( top_top @ SV113 ) ) )
| ( hBOOL @ ( hAPP @ SV113 @ bool @ ( hAPP @ SV113 @ ( fun @ SV113 @ bool ) @ ( ord_less @ SV113 ) @ SY683 ) @ ( top_top @ SV113 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ SV113 @ bool @ ( hAPP @ SV113 @ ( fun @ SV113 @ bool ) @ ( ord_less @ SV113 ) @ SY683 ) @ ( top_top @ SV113 ) ) )
| ( ( ti @ SV113 @ SY683 )
!= ( top_top @ SV113 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[586]) ).
thf(709,plain,
! [SV114: $i] :
( ( ! [SY684: $i,SY685: $i,SY686: $i] :
( ~ ! [SY687: $i] :
( ( hAPP @ SV114 @ SY684 @ SY685 @ SY687 )
= ( hAPP @ SV114 @ SY684 @ SY686 @ SY687 ) )
| ( ( ti @ ( fun @ SV114 @ SY684 ) @ SY685 )
= ( ti @ ( fun @ SV114 @ SY684 ) @ SY686 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[587]) ).
thf(710,plain,
! [SV115: $i] :
( ( ~ ( order @ SV115 )
| ! [SY688: $i,SY689: $i] :
( ~ ( hBOOL @ ( hAPP @ SV115 @ bool @ ( hAPP @ SV115 @ ( fun @ SV115 @ bool ) @ ( ord_less @ SV115 ) @ SY688 ) @ SY689 ) )
| ( SY688 != SY689 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[588]) ).
thf(711,plain,
( ( c = d )
= $false ),
inference(extcnf_not_pos,[status(thm)],[589]) ).
thf(712,plain,
! [SV116: $i,SV1: $i] :
( ( ! [SY690: $i] :
( ( ti @ ( fun @ ( fun @ SV1 @ SV116 ) @ ( fun @ ( fun @ SY690 @ SV1 ) @ ( fun @ SY690 @ SV116 ) ) ) @ ( combb @ SV1 @ SV116 @ SY690 ) )
= ( combb @ SV1 @ SV116 @ SY690 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[590]) ).
thf(713,plain,
! [SV117: $i,SV2: $i] :
( ( ! [SY691: $i] :
( ( ti @ ( fun @ ( fun @ SV2 @ ( fun @ SV117 @ SY691 ) ) @ ( fun @ SV117 @ ( fun @ SV2 @ SY691 ) ) ) @ ( combc @ SV2 @ SV117 @ SY691 ) )
= ( combc @ SV2 @ SV117 @ SY691 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[591]) ).
thf(714,plain,
! [SV118: $i,SV4: $i] :
( ( ( ti @ ( fun @ SV4 @ ( fun @ SV118 @ SV4 ) ) @ ( combk @ SV4 @ SV118 ) )
= ( combk @ SV4 @ SV118 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[593]) ).
thf(715,plain,
! [SV119: $i,SV5: $i] :
( ( ! [SY692: $i] :
( ( ti @ ( fun @ ( fun @ SV5 @ ( fun @ SV119 @ SY692 ) ) @ ( fun @ ( fun @ SV5 @ SV119 ) @ ( fun @ SV5 @ SY692 ) ) ) @ ( combs @ SV5 @ SV119 @ SY692 ) )
= ( combs @ SV5 @ SV119 @ SY692 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[594]) ).
thf(716,plain,
! [SV120: $i,SV6: $i] :
( ( ( ti @ ( fun @ ( fun @ SV6 @ SV120 ) @ ( fun @ ( fun @ SV6 @ bool ) @ bool ) ) @ ( inj_on @ SV6 @ SV120 ) )
= ( inj_on @ SV6 @ SV120 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[595]) ).
thf(717,plain,
! [SV121: $i,SV7: $i] :
( ( ( ti @ ( fun @ ( fun @ SV7 @ bool ) @ ( fun @ ( fun @ SV7 @ ( fun @ SV121 @ bool ) ) @ ( fun @ ( fun @ SV7 @ SV121 ) @ bool ) ) ) @ ( pi @ SV7 @ SV121 ) )
= ( pi @ SV7 @ SV121 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[596]) ).
thf(718,plain,
! [SV122: $i,SV9: $i] :
( ( ( ti @ ( fun @ ( fun @ SV9 @ bool ) @ ( fun @ ( fun @ SV9 @ SV122 ) @ ( fun @ SV122 @ SV9 ) ) ) @ ( hilbert_inv_into @ SV9 @ SV122 ) )
= ( hilbert_inv_into @ SV9 @ SV122 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[598]) ).
thf(719,plain,
! [SV123: $i,SV11: $i] :
( ( ( ti @ ( fun @ SV11 @ ( fun @ SV123 @ ( product_prod @ SV11 @ SV123 ) ) ) @ ( product_Pair @ SV11 @ SV123 ) )
= ( product_Pair @ SV11 @ SV123 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[600]) ).
thf(720,plain,
! [SV124: $i,SV12: $i] :
( ( ! [SY693: $i] :
( ( ti @ ( fun @ ( fun @ SV12 @ ( fun @ SV124 @ SY693 ) ) @ ( fun @ ( product_prod @ SV12 @ SV124 ) @ SY693 ) ) @ ( product_prod_rec @ SV12 @ SV124 @ SY693 ) )
= ( product_prod_rec @ SV12 @ SV124 @ SY693 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[601]) ).
thf(721,plain,
! [SV125: $i,SV15: $i] :
( ( ! [SY694: $i,SY695: $i] :
( ( hAPP @ SV15 @ SV125 @ ( ti @ ( fun @ SV15 @ SV125 ) @ SY694 ) @ SY695 )
= ( hAPP @ SV15 @ SV125 @ SY694 @ SY695 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[604]) ).
thf(722,plain,
! [SV126: $i,SV16: $i] :
( ( ! [SY696: $i,SY697: $i] :
( ( hAPP @ SV16 @ SV126 @ SY696 @ ( ti @ SV16 @ SY697 ) )
= ( hAPP @ SV16 @ SV126 @ SY696 @ SY697 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[605]) ).
thf(723,plain,
! [SV127: $i,SV17: $i] :
( ( ! [SY698: $i,SY699: $i] :
( ( ti @ SV17 @ ( hAPP @ SV127 @ SV17 @ SY698 @ SY699 ) )
= ( hAPP @ SV127 @ SV17 @ SY698 @ SY699 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[606]) ).
thf(724,plain,
! [SV128: $i,SV19: $i] :
( ( hBOOL @ ( hAPP @ SV19 @ bool @ ( top_top @ ( fun @ SV19 @ bool ) ) @ SV128 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[608]) ).
thf(725,plain,
! [SV129: $i,SV20: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ SV20 @ bool ) @ bool @ ( hAPP @ SV20 @ ( fun @ ( fun @ SV20 @ bool ) @ bool ) @ ( member @ SV20 ) @ SV129 ) @ ( top_top @ ( fun @ SV20 @ bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[609]) ).
thf(726,plain,
! [SV130: $i,SV21: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ SV21 @ bool ) @ bool @ ( hAPP @ SV21 @ ( fun @ ( fun @ SV21 @ bool ) @ bool ) @ ( member @ SV21 ) @ SV130 ) @ ( top_top @ ( fun @ SV21 @ bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[610]) ).
thf(727,plain,
! [SV131: $i,SV22: $i] :
( ( ! [SY700: $i,SY701: $i,SY702: $i,SY703: $i] :
( ( hAPP @ ( product_prod @ SV22 @ SV131 ) @ SY700 @ ( hAPP @ ( fun @ SV22 @ ( fun @ SV131 @ SY700 ) ) @ ( fun @ ( product_prod @ SV22 @ SV131 ) @ SY700 ) @ ( product_prod_rec @ SV22 @ SV131 @ SY700 ) @ SY701 ) @ ( hAPP @ SV131 @ ( product_prod @ SV22 @ SV131 ) @ ( hAPP @ SV22 @ ( fun @ SV131 @ ( product_prod @ SV22 @ SV131 ) ) @ ( product_Pair @ SV22 @ SV131 ) @ SY702 ) @ SY703 ) )
= ( hAPP @ SV131 @ SY700 @ ( hAPP @ SV22 @ ( fun @ SV131 @ SY700 ) @ SY701 @ SY702 ) @ SY703 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[611]) ).
thf(728,plain,
! [SV132: $i,SV24: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ SV24 @ bool ) @ bool @ ( hAPP @ ( fun @ SV24 @ SV24 ) @ ( fun @ ( fun @ SV24 @ bool ) @ bool ) @ ( inj_on @ SV24 @ SV24 ) @ ( combi @ SV24 ) ) @ SV132 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[613]) ).
thf(729,plain,
! [SV133: $i,SV25: $i] :
( ( ( hAPP @ ( fun @ SV25 @ bool ) @ ( fun @ SV25 @ bool ) @ ( collect @ SV25 ) @ SV133 )
= ( ti @ ( fun @ SV25 @ bool ) @ SV133 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[614]) ).
thf(730,plain,
! [SV134: $i,SV27: $i] :
( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ SV27 @ SV27 ) @ bool ) @ bool @ ( hAPP @ ( fun @ SV27 @ SV27 ) @ ( fun @ ( fun @ ( fun @ SV27 @ SV27 ) @ bool ) @ bool ) @ ( member @ ( fun @ SV27 @ SV27 ) ) @ ( combi @ SV27 ) ) @ ( hAPP @ ( fun @ SV27 @ ( fun @ SV27 @ bool ) ) @ ( fun @ ( fun @ SV27 @ SV27 ) @ bool ) @ ( hAPP @ ( fun @ SV27 @ bool ) @ ( fun @ ( fun @ SV27 @ ( fun @ SV27 @ bool ) ) @ ( fun @ ( fun @ SV27 @ SV27 ) @ bool ) ) @ ( pi @ SV27 @ SV27 ) @ SV134 ) @ ( hAPP @ ( fun @ SV27 @ bool ) @ ( fun @ SV27 @ ( fun @ SV27 @ bool ) ) @ ( combk @ ( fun @ SV27 @ bool ) @ SV27 ) @ SV134 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[616]) ).
thf(731,plain,
! [SV135: $i,SV28: $i] :
( ( ! [SY704: $i] :
( ( hAPP @ ( fun @ SV28 @ ( fun @ SV135 @ bool ) ) @ ( fun @ ( fun @ SV28 @ SV135 ) @ bool ) @ ( hAPP @ ( fun @ SV28 @ bool ) @ ( fun @ ( fun @ SV28 @ ( fun @ SV135 @ bool ) ) @ ( fun @ ( fun @ SV28 @ SV135 ) @ bool ) ) @ ( pi @ SV28 @ SV135 ) @ SY704 ) @ ( hAPP @ ( fun @ SV135 @ bool ) @ ( fun @ SV28 @ ( fun @ SV135 @ bool ) ) @ ( combk @ ( fun @ SV135 @ bool ) @ SV28 ) @ ( top_top @ ( fun @ SV135 @ bool ) ) ) )
= ( top_top @ ( fun @ ( fun @ SV28 @ SV135 ) @ bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[617]) ).
thf(732,plain,
! [SV136: $i,SV29: $i] :
( ( ( ti @ SV29 @ ( ti @ SV29 @ SV136 ) )
= ( ti @ SV29 @ SV136 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[620]) ).
thf(733,plain,
! [SV137: $i,SV30: $i] :
( ( ! [SY705: $i] :
( ( hAPP @ SV30 @ SV30 @ ( hAPP @ SV30 @ ( fun @ SV30 @ SV30 ) @ ( hAPP @ bool @ ( fun @ SV30 @ ( fun @ SV30 @ SV30 ) ) @ ( if @ SV30 ) @ fTrue ) @ SV137 ) @ SY705 )
= ( ti @ SV30 @ SV137 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[621]) ).
thf(734,plain,
! [SV138: $i,SV31: $i] :
( ( ! [SY706: $i] :
( ( hAPP @ SV31 @ SV31 @ ( hAPP @ SV31 @ ( fun @ SV31 @ SV31 ) @ ( hAPP @ bool @ ( fun @ SV31 @ ( fun @ SV31 @ SV31 ) ) @ ( if @ SV31 ) @ fFalse ) @ SV138 ) @ SY706 )
= ( ti @ SV31 @ SY706 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[622]) ).
thf(735,plain,
! [SV32: $i] :
( ( ( ( ti @ bool @ SV32 )
= fTrue )
= $true )
| ( ( ( ti @ bool @ SV32 )
= fFalse )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[623]) ).
thf(736,plain,
! [SV139: $i,SV33: $i] :
( ( ! [SY707: $i,SY708: $i,SY709: $i,SY710: $i] :
( ( hAPP @ SV33 @ SV139 @ ( hAPP @ ( fun @ SV33 @ SY707 ) @ ( fun @ SV33 @ SV139 ) @ ( hAPP @ ( fun @ SY707 @ SV139 ) @ ( fun @ ( fun @ SV33 @ SY707 ) @ ( fun @ SV33 @ SV139 ) ) @ ( combb @ SY707 @ SV139 @ SV33 ) @ SY708 ) @ SY709 ) @ SY710 )
= ( hAPP @ SY707 @ SV139 @ SY708 @ ( hAPP @ SV33 @ SY707 @ SY709 @ SY710 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[624]) ).
thf(737,plain,
! [SV140: $i,SV34: $i] :
( ( ! [SY711: $i,SY712: $i,SY713: $i,SY714: $i] :
( ( hAPP @ SV34 @ SV140 @ ( hAPP @ SY711 @ ( fun @ SV34 @ SV140 ) @ ( hAPP @ ( fun @ SV34 @ ( fun @ SY711 @ SV140 ) ) @ ( fun @ SY711 @ ( fun @ SV34 @ SV140 ) ) @ ( combc @ SV34 @ SY711 @ SV140 ) @ SY712 ) @ SY713 ) @ SY714 )
= ( hAPP @ SY711 @ SV140 @ ( hAPP @ SV34 @ ( fun @ SY711 @ SV140 ) @ SY712 @ SY714 ) @ SY713 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[625]) ).
thf(738,plain,
! [SV141: $i,SV35: $i] :
( ( ( hAPP @ SV35 @ SV35 @ ( combi @ SV35 ) @ SV141 )
= ( ti @ SV35 @ SV141 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[626]) ).
thf(739,plain,
! [SV142: $i,SV36: $i] :
( ( ! [SY715: $i,SY716: $i] :
( ( hAPP @ SV36 @ SV142 @ ( hAPP @ SV142 @ ( fun @ SV36 @ SV142 ) @ ( combk @ SV142 @ SV36 ) @ SY715 ) @ SY716 )
= ( ti @ SV142 @ SY715 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[627]) ).
thf(740,plain,
! [SV143: $i,SV37: $i] :
( ( ! [SY717: $i,SY718: $i,SY719: $i,SY720: $i] :
( ( hAPP @ SV37 @ SV143 @ ( hAPP @ ( fun @ SV37 @ SY717 ) @ ( fun @ SV37 @ SV143 ) @ ( hAPP @ ( fun @ SV37 @ ( fun @ SY717 @ SV143 ) ) @ ( fun @ ( fun @ SV37 @ SY717 ) @ ( fun @ SV37 @ SV143 ) ) @ ( combs @ SV37 @ SY717 @ SV143 ) @ SY718 ) @ SY719 ) @ SY720 )
= ( hAPP @ SY717 @ SV143 @ ( hAPP @ SV37 @ ( fun @ SY717 @ SV143 ) @ SY718 @ SY720 ) @ ( hAPP @ SV37 @ SY717 @ SY719 @ SY720 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[628]) ).
thf(741,plain,
! [SV38: $i] :
( ( ( ( ti @ bool @ SV38 )
= fTrue )
= $true )
| ( ( ( ti @ bool @ SV38 )
= fFalse )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[629]) ).
thf(742,plain,
! [SV144: $i,SV39: $i] :
( ( ! [SY721: $i] :
( ~ ( hBOOL @ ( hAPP @ SV39 @ bool @ ( hAPP @ SV39 @ ( fun @ SV39 @ bool ) @ ( fequal @ SV39 ) @ SV144 ) @ SY721 ) )
| ( ( ti @ SV39 @ SV144 )
= ( ti @ SV39 @ SY721 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[630]) ).
thf(743,plain,
! [SV145: $i,SV40: $i] :
( ( ! [SY722: $i,SY723: $i,SY724: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV40 @ bool ) @ bool @ ( hAPP @ ( fun @ SV40 @ SV145 ) @ ( fun @ ( fun @ SV40 @ bool ) @ bool ) @ ( inj_on @ SV40 @ SV145 ) @ SY724 ) @ ( top_top @ ( fun @ SV40 @ bool ) ) ) )
| ( ( hAPP @ SV40 @ SV145 @ SY724 @ SY722 )
!= ( hAPP @ SV40 @ SV145 @ SY724 @ SY723 ) )
| ( ( ti @ SV40 @ SY722 )
= ( ti @ SV40 @ SY723 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[632]) ).
thf(744,plain,
! [SV146: $i,SV41: $i] :
( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV41 )
!= ( ti @ arrow_1212486748le_alt @ SV146 ) ) )
| ~ ! [SY725: $i] :
~ ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SY725 ) @ arrow_638930832le_Lin ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV41 ) @ SV146 ) ) @ SY725 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[633]) ).
thf(745,plain,
! [SV42: $i,SV147: $i] :
( ( ~ ( top @ SV147 )
| ( top @ ( fun @ SV42 @ SV147 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[634]) ).
thf(746,plain,
! [SV43: $i] :
( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_1932713123nimity @ SV43 ) )
| ! [SY462: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SY462 ) @ arrow_1834574746e_Prof ) )
| ! [SY463: $i,SY464: $i] :
( ~ ! [SX4: $i] : ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY463 ) @ SY464 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY462 @ SX4 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY463 ) @ SY464 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV43 @ SY462 ) ) ) ) ) )
| ~ ( ~ ! [SY466: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SY466 ) @ arrow_1834574746e_Prof ) )
| ! [SY467: $i,SY468: $i] :
( ~ ! [SX4: $i] : ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY467 ) @ SY468 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY466 @ SX4 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY467 ) @ SY468 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV43 @ SY466 ) ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_1932713123nimity @ SV43 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[635]) ).
thf(747,plain,
! [SV44: $i,SV148: $i] :
( ( ! [SY726: $i,SY727: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV148 @ bool ) @ bool @ ( hAPP @ ( fun @ SV148 @ SY726 ) @ ( fun @ ( fun @ SV148 @ bool ) @ bool ) @ ( inj_on @ SV148 @ SY726 ) @ SY727 ) @ ( top_top @ ( fun @ SV148 @ bool ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ SV148 @ bool ) @ bool @ ( hAPP @ ( fun @ SV148 @ ( fun @ SV44 @ SY726 ) ) @ ( fun @ ( fun @ SV148 @ bool ) @ bool ) @ ( inj_on @ SV148 @ ( fun @ SV44 @ SY726 ) ) @ ( hAPP @ ( fun @ SV148 @ SY726 ) @ ( fun @ SV148 @ ( fun @ SV44 @ SY726 ) ) @ ( hAPP @ ( fun @ SY726 @ ( fun @ SV44 @ SY726 ) ) @ ( fun @ ( fun @ SV148 @ SY726 ) @ ( fun @ SV148 @ ( fun @ SV44 @ SY726 ) ) ) @ ( combb @ SY726 @ ( fun @ SV44 @ SY726 ) @ SV148 ) @ ( combk @ SY726 @ SV44 ) ) @ SY727 ) ) @ ( top_top @ ( fun @ SV148 @ bool ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[636]) ).
thf(748,plain,
! [SV45: $i,SV149: $i] :
( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV149 ) @ arrow_638930832le_Lin ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ SV149 ) @ SV45 ) ) @ arrow_638930832le_Lin ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[637]) ).
thf(749,plain,
! [SV150: $i,SV46: $i] :
( ( ! [SY728: $i,SY729: $i,SY730: $i,SY731: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ SV46 @ SV150 ) @ bool ) @ bool @ ( hAPP @ ( fun @ SV46 @ SV150 ) @ ( fun @ ( fun @ ( fun @ SV46 @ SV150 ) @ bool ) @ bool ) @ ( member @ ( fun @ SV46 @ SV150 ) ) @ SY729 ) @ ( hAPP @ ( fun @ SV46 @ ( fun @ SV150 @ bool ) ) @ ( fun @ ( fun @ SV46 @ SV150 ) @ bool ) @ ( hAPP @ ( fun @ SV46 @ bool ) @ ( fun @ ( fun @ SV46 @ ( fun @ SV150 @ bool ) ) @ ( fun @ ( fun @ SV46 @ SV150 ) @ bool ) ) @ ( pi @ SV46 @ SV150 ) @ SY730 ) @ SY731 ) ) )
| ~ ~ ( hBOOL @ ( hAPP @ ( fun @ SV150 @ bool ) @ bool @ ( hAPP @ SV150 @ ( fun @ ( fun @ SV150 @ bool ) @ bool ) @ ( member @ SV150 ) @ ( hAPP @ SV46 @ SV150 @ SY729 @ SY728 ) ) @ ( hAPP @ SV46 @ ( fun @ SV150 @ bool ) @ SY731 @ SY728 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV46 @ bool ) @ bool @ ( hAPP @ SV46 @ ( fun @ ( fun @ SV46 @ bool ) @ bool ) @ ( member @ SV46 ) @ SY728 ) @ SY730 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[638]) ).
thf(750,plain,
! [SV151: $i,SV47: $i] :
( ( ! [SY732: $i,SY733: $i,SY734: $i,SY735: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ SV47 @ SV151 ) @ bool ) @ bool @ ( hAPP @ ( fun @ SV47 @ SV151 ) @ ( fun @ ( fun @ ( fun @ SV47 @ SV151 ) @ bool ) @ bool ) @ ( member @ ( fun @ SV47 @ SV151 ) ) @ SY733 ) @ ( hAPP @ ( fun @ SV47 @ ( fun @ SV151 @ bool ) ) @ ( fun @ ( fun @ SV47 @ SV151 ) @ bool ) @ ( hAPP @ ( fun @ SV47 @ bool ) @ ( fun @ ( fun @ SV47 @ ( fun @ SV151 @ bool ) ) @ ( fun @ ( fun @ SV47 @ SV151 ) @ bool ) ) @ ( pi @ SV47 @ SV151 ) @ SY734 ) @ SY735 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV47 @ bool ) @ bool @ ( hAPP @ SV47 @ ( fun @ ( fun @ SV47 @ bool ) @ bool ) @ ( member @ SV47 ) @ SY732 ) @ SY734 ) )
| ( hBOOL @ ( hAPP @ ( fun @ SV151 @ bool ) @ bool @ ( hAPP @ SV151 @ ( fun @ ( fun @ SV151 @ bool ) @ bool ) @ ( member @ SV151 ) @ ( hAPP @ SV47 @ SV151 @ SY733 @ SY732 ) ) @ ( hAPP @ SV47 @ ( fun @ SV151 @ bool ) @ SY735 @ SY732 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[639]) ).
thf(751,plain,
! [SV152: $i,SV48: $i] :
( ( ! [SY736: $i,SY737: $i,SY738: $i,SY739: $i] :
~ ( ~ ( ( ( hAPP @ SV48 @ ( product_prod @ SV152 @ SV48 ) @ ( hAPP @ SV152 @ ( fun @ SV48 @ ( product_prod @ SV152 @ SV48 ) ) @ ( product_Pair @ SV152 @ SV48 ) @ SY736 ) @ SY737 )
!= ( hAPP @ SV48 @ ( product_prod @ SV152 @ SV48 ) @ ( hAPP @ SV152 @ ( fun @ SV48 @ ( product_prod @ SV152 @ SV48 ) ) @ ( product_Pair @ SV152 @ SV48 ) @ SY738 ) @ SY739 ) )
| ~ ( ( ( ti @ SV152 @ SY736 )
!= ( ti @ SV152 @ SY738 ) )
| ( ( ti @ SV48 @ SY737 )
!= ( ti @ SV48 @ SY739 ) ) ) )
| ~ ( ~ ~ ( ( ( ti @ SV152 @ SY736 )
!= ( ti @ SV152 @ SY738 ) )
| ( ( ti @ SV48 @ SY737 )
!= ( ti @ SV48 @ SY739 ) ) )
| ( ( hAPP @ SV48 @ ( product_prod @ SV152 @ SV48 ) @ ( hAPP @ SV152 @ ( fun @ SV48 @ ( product_prod @ SV152 @ SV48 ) ) @ ( product_Pair @ SV152 @ SV48 ) @ SY736 ) @ SY737 )
= ( hAPP @ SV48 @ ( product_prod @ SV152 @ SV48 ) @ ( hAPP @ SV152 @ ( fun @ SV48 @ ( product_prod @ SV152 @ SV48 ) ) @ ( product_Pair @ SV152 @ SV48 ) @ SY738 ) @ SY739 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[640]) ).
thf(752,plain,
! [SV49: $i,SV153: $i] :
( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV153 ) @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) ) @ ( pi @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1834574746e_Prof ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( combk @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_638930832le_Lin ) ) ) )
| ~ ! [SY740: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SY740 ) @ arrow_1834574746e_Prof ) )
| ! [SY741: $i,SY742: $i] :
( ~ ( ( ( ti @ arrow_1212486748le_alt @ SY741 )
!= ( ti @ arrow_1212486748le_alt @ SY742 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY741 ) @ SY742 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY740 @ SV49 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY741 ) @ SY742 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV153 @ SY740 ) ) ) ) )
| ( hBOOL @ ( hAPP @ arrow_1384031255e_indi @ bool @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ bool ) @ arrow_1990387629ctator @ SV153 ) @ SV49 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[641]) ).
thf(753,plain,
! [SV154: $i,SV50: $i] :
( ( ! [SY743: $i,SY744: $i] :
~ ( ~ ( ~ ! [SY745: $i,SY746: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SY745 ) @ SY746 ) ) @ SY744 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SY745 ) @ SY746 ) ) @ SY743 ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SY745 ) @ SY746 ) ) @ SY743 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SY745 ) @ SY746 ) ) @ SY744 ) ) ) )
| ( ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SY744 )
= ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SY743 ) ) )
| ~ ( ( ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SY744 )
!= ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SY743 ) )
| ! [SY747: $i,SY748: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SY747 ) @ SY748 ) ) @ SY744 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SY747 ) @ SY748 ) ) @ SY743 ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SY747 ) @ SY748 ) ) @ SY743 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SY747 ) @ SY748 ) ) @ SY744 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[642]) ).
thf(754,plain,
! [SV155: $i,SV51: $i] :
( ( ! [SY749: $i,SY750: $i,SY751: $i] :
( ~ ( ( ( ti @ arrow_1212486748le_alt @ SY750 )
!= ( ti @ arrow_1212486748le_alt @ SY751 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SY749 ) @ arrow_638930832le_Lin ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SY749 ) @ SY750 ) @ SY751 ) ) )
| ~ ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV155 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SY751 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY750 ) @ SV155 ) ) @ SY749 ) ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SY751 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SY751 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SY750 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SY750 ) ) @ SY749 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SY751 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SY749 ) ) ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV155 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SY751 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY750 ) @ SV155 ) ) @ SY749 ) ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SY751 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SY751 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SY750 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SY750 ) ) @ SY749 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SY751 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SY749 ) ) ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SY749 ) @ SY750 ) @ SY751 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[643]) ).
thf(755,plain,
! [SV156: $i,SV52: $i] :
( ( ! [SY752: $i,SY753: $i,SY754: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV52 @ bool ) @ bool @ ( hAPP @ ( fun @ SV52 @ SV156 ) @ ( fun @ ( fun @ SV52 @ bool ) @ bool ) @ ( inj_on @ SV52 @ SV156 ) @ SY754 ) @ ( top_top @ ( fun @ SV52 @ bool ) ) ) )
| ~ ( ~ ( ( ( hAPP @ SV52 @ SV156 @ SY754 @ SY752 )
!= ( hAPP @ SV52 @ SV156 @ SY754 @ SY753 ) )
| ( ( ti @ SV52 @ SY752 )
= ( ti @ SV52 @ SY753 ) ) )
| ~ ( ( ( ti @ SV52 @ SY752 )
!= ( ti @ SV52 @ SY753 ) )
| ( ( hAPP @ SV52 @ SV156 @ SY754 @ SY752 )
= ( hAPP @ SV52 @ SV156 @ SY754 @ SY753 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[644]) ).
thf(756,plain,
! [SV157: $i,SV53: $i] :
( ( ! [SY755: $i,SY756: $i,SY757: $i,SY758: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ SV53 @ SV157 ) @ bool ) @ bool @ ( hAPP @ ( fun @ SV53 @ SV157 ) @ ( fun @ ( fun @ ( fun @ SV53 @ SV157 ) @ bool ) @ bool ) @ ( member @ ( fun @ SV53 @ SV157 ) ) @ SY756 ) @ ( hAPP @ ( fun @ SV53 @ ( fun @ SV157 @ bool ) ) @ ( fun @ ( fun @ SV53 @ SV157 ) @ bool ) @ ( hAPP @ ( fun @ SV53 @ bool ) @ ( fun @ ( fun @ SV53 @ ( fun @ SV157 @ bool ) ) @ ( fun @ ( fun @ SV53 @ SV157 ) @ bool ) ) @ ( pi @ SV53 @ SV157 ) @ SY757 ) @ ( hAPP @ ( fun @ SV157 @ bool ) @ ( fun @ SV53 @ ( fun @ SV157 @ bool ) ) @ ( combk @ ( fun @ SV157 @ bool ) @ SV53 ) @ SY758 ) ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV53 @ bool ) @ bool @ ( hAPP @ SV53 @ ( fun @ ( fun @ SV53 @ bool ) @ bool ) @ ( member @ SV53 ) @ SY755 ) @ SY757 ) )
| ( hBOOL @ ( hAPP @ ( fun @ SV157 @ bool ) @ bool @ ( hAPP @ SV157 @ ( fun @ ( fun @ SV157 @ bool ) @ bool ) @ ( member @ SV157 ) @ ( hAPP @ SV53 @ SV157 @ SY756 @ SY755 ) ) @ SY758 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[645]) ).
thf(757,plain,
! [SV54: $i,SV158: $i] :
( ( ! [SY759: $i,SY760: $i,SY761: $i,SY762: $i] :
( ~ ( ( ( ti @ arrow_1212486748le_alt @ SY761 )
!= ( ti @ arrow_1212486748le_alt @ SY762 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SY759 )
!= ( ti @ arrow_1212486748le_alt @ SY760 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV158 ) @ arrow_1834574746e_Prof ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV54 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY763: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY761 ) @ SY762 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ SY763 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY759 ) @ SY760 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ SY763 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY759 ) @ SY760 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ SY763 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY761 ) @ SY762 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ SY763 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY761 ) @ SY762 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY759 ) @ SY760 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY759 ) @ SY760 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY761 ) @ SY762 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[646]) ).
thf(758,plain,
! [SV55: $i] :
( ( ~ ( ~ ( hBOOL @ ( ti @ bool @ SV55 ) )
| ( hBOOL @ SV55 ) )
| ~ ( ~ ( hBOOL @ SV55 )
| ( hBOOL @ ( ti @ bool @ SV55 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[647]) ).
thf(759,plain,
! [SV159: $i,SV56: $i] :
( ( ! [SY764: $i,SY765: $i,SY766: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV56 @ bool ) @ bool @ ( hAPP @ ( fun @ SV56 @ SV159 ) @ ( fun @ ( fun @ SV56 @ bool ) @ bool ) @ ( inj_on @ SV56 @ SV159 ) @ SY765 ) @ SY766 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV56 @ bool ) @ bool @ ( hAPP @ SV56 @ ( fun @ ( fun @ SV56 @ bool ) @ bool ) @ ( member @ SV56 ) @ SY764 ) @ SY766 ) )
| ( ( hAPP @ SV159 @ SV56 @ ( hAPP @ ( fun @ SV56 @ SV159 ) @ ( fun @ SV159 @ SV56 ) @ ( hAPP @ ( fun @ SV56 @ bool ) @ ( fun @ ( fun @ SV56 @ SV159 ) @ ( fun @ SV159 @ SV56 ) ) @ ( hilbert_inv_into @ SV56 @ SV159 ) @ SY766 ) @ SY765 ) @ ( hAPP @ SV56 @ SV159 @ SY765 @ SY764 ) )
= ( ti @ SV56 @ SY764 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[648]) ).
thf(760,plain,
! [SV57: $i] :
( ( ( ~ ( ord @ SV57 ) )
= $true )
| ( ( ! [SY523: $i,SY524: $i,SY525: $i] :
( ( SY524 != SY525 )
| ~ ( hBOOL @ ( hAPP @ SV57 @ bool @ ( hAPP @ SV57 @ ( fun @ SV57 @ bool ) @ ( ord_less @ SV57 ) @ SY525 ) @ SY523 ) )
| ( hBOOL @ ( hAPP @ SV57 @ bool @ ( hAPP @ SV57 @ ( fun @ SV57 @ bool ) @ ( ord_less @ SV57 ) @ SY524 ) @ SY523 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[649]) ).
thf(761,plain,
! [SV58: $i] :
( ( ( ~ ( preorder @ SV58 ) )
= $true )
| ( ( ! [SY526: $i] :
~ ( hBOOL @ ( hAPP @ SV58 @ bool @ ( hAPP @ SV58 @ ( fun @ SV58 @ bool ) @ ( ord_less @ SV58 ) @ SY526 ) @ SY526 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[650]) ).
thf(762,plain,
! [SV59: $i,SV160: $i] :
( ( ! [SY767: $i,SY768: $i] :
( ~ ( ( ( ti @ arrow_1212486748le_alt @ SY767 )
!= ( ti @ arrow_1212486748le_alt @ SY768 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV160 ) @ arrow_1834574746e_Prof ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV59 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY769: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY767 ) @ SY768 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ SY769 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY768 ) @ SY767 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ SY769 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY768 ) @ SY767 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ SY769 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY767 ) @ SY768 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ SY769 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY767 ) @ SY768 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY768 ) @ SY767 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY768 ) @ SY767 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY767 ) @ SY768 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[652]) ).
thf(763,plain,
! [SV60: $i] :
( ( ( ~ ( preorder @ SV60 ) )
= $true )
| ( ( ! [SY531: $i,SY532: $i] :
( ~ ( hBOOL @ ( hAPP @ SV60 @ bool @ ( hAPP @ SV60 @ ( fun @ SV60 @ bool ) @ ( ord_less @ SV60 ) @ SY531 ) @ SY532 ) )
| ~ ( hBOOL @ ( hAPP @ SV60 @ bool @ ( hAPP @ SV60 @ ( fun @ SV60 @ bool ) @ ( ord_less @ SV60 ) @ SY532 ) @ SY531 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[653]) ).
thf(764,plain,
! [SV61: $i] :
( ( ( ~ ( order @ SV61 ) )
= $true )
| ( ( ! [SY533: $i,SY534: $i] :
( ~ ( hBOOL @ ( hAPP @ SV61 @ bool @ ( hAPP @ SV61 @ ( fun @ SV61 @ bool ) @ ( ord_less @ SV61 ) @ SY533 ) @ SY534 ) )
| ~ ( hBOOL @ ( hAPP @ SV61 @ bool @ ( hAPP @ SV61 @ ( fun @ SV61 @ bool ) @ ( ord_less @ SV61 ) @ SY534 ) @ SY533 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[654]) ).
thf(765,plain,
! [SV161: $i,SV62: $i] :
( ( ! [SY770: $i,SY771: $i,SY772: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV62 @ bool ) @ bool @ ( hAPP @ ( fun @ SV62 @ SV161 ) @ ( fun @ ( fun @ SV62 @ bool ) @ bool ) @ ( inj_on @ SV62 @ SV161 ) @ SY772 ) @ ( top_top @ ( fun @ SV62 @ bool ) ) ) )
| ( ( hAPP @ SV62 @ SV161 @ SY772 @ SY770 )
!= ( ti @ SV161 @ SY771 ) )
| ( ( hAPP @ SV161 @ SV62 @ ( hAPP @ ( fun @ SV62 @ SV161 ) @ ( fun @ SV161 @ SV62 ) @ ( hAPP @ ( fun @ SV62 @ bool ) @ ( fun @ ( fun @ SV62 @ SV161 ) @ ( fun @ SV161 @ SV62 ) ) @ ( hilbert_inv_into @ SV62 @ SV161 ) @ ( top_top @ ( fun @ SV62 @ bool ) ) ) @ SY772 ) @ SY771 )
= ( ti @ SV62 @ SY770 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[655]) ).
thf(766,plain,
! [SV63: $i,SV162: $i] :
( ( ~ ( top @ SV162 )
| ! [SY773: $i] :
( ( hAPP @ SV63 @ SV162 @ ( top_top @ ( fun @ SV63 @ SV162 ) ) @ SY773 )
= ( top_top @ SV162 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[656]) ).
thf(767,plain,
! [SV64: $i] :
( ( ( ~ ( preorder @ SV64 ) )
= $true )
| ( ( ! [SY541: $i,SY542: $i,SY543: $i] :
( ~ ( hBOOL @ ( hAPP @ SV64 @ bool @ ( hAPP @ SV64 @ ( fun @ SV64 @ bool ) @ ( ord_less @ SV64 ) @ SY542 ) @ SY543 ) )
| ~ ( hBOOL @ ( hAPP @ SV64 @ bool @ ( hAPP @ SV64 @ ( fun @ SV64 @ bool ) @ ( ord_less @ SV64 ) @ SY543 ) @ SY541 ) )
| ( hBOOL @ ( hAPP @ SV64 @ bool @ ( hAPP @ SV64 @ ( fun @ SV64 @ bool ) @ ( ord_less @ SV64 ) @ SY542 ) @ SY541 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[657]) ).
thf(768,plain,
! [SV163: $i,SV65: $i] :
( ( ! [SY774: $i,SY775: $i,SY776: $i,SY777: $i] :
( ( ( hAPP @ SV65 @ ( product_prod @ SV163 @ SV65 ) @ ( hAPP @ SV163 @ ( fun @ SV65 @ ( product_prod @ SV163 @ SV65 ) ) @ ( product_Pair @ SV163 @ SV65 ) @ SY774 ) @ SY775 )
!= ( hAPP @ SV65 @ ( product_prod @ SV163 @ SV65 ) @ ( hAPP @ SV163 @ ( fun @ SV65 @ ( product_prod @ SV163 @ SV65 ) ) @ ( product_Pair @ SV163 @ SV65 ) @ SY776 ) @ SY777 ) )
| ~ ( ( ( ti @ SV163 @ SY774 )
!= ( ti @ SV163 @ SY776 ) )
| ( ( ti @ SV65 @ SY775 )
!= ( ti @ SV65 @ SY777 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[658]) ).
thf(769,plain,
! [SV66: $i,SV164: $i] :
( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV164 ) @ arrow_638930832le_Lin ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ SV164 ) @ SV66 ) ) @ arrow_638930832le_Lin ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[659]) ).
thf(770,plain,
! [SV67: $i] :
( ( ( ~ ( linorder @ SV67 ) )
= $true )
| ( ( ! [SY550: $i,SY551: $i] :
~ ( ~ ( ~ ( ( ( ti @ SV67 @ SY550 )
!= ( ti @ SV67 @ SY551 ) ) )
| ( hBOOL @ ( hAPP @ SV67 @ bool @ ( hAPP @ SV67 @ ( fun @ SV67 @ bool ) @ ( ord_less @ SV67 ) @ SY550 ) @ SY551 ) )
| ( hBOOL @ ( hAPP @ SV67 @ bool @ ( hAPP @ SV67 @ ( fun @ SV67 @ bool ) @ ( ord_less @ SV67 ) @ SY551 ) @ SY550 ) ) )
| ~ ( ~ ( ( hBOOL @ ( hAPP @ SV67 @ bool @ ( hAPP @ SV67 @ ( fun @ SV67 @ bool ) @ ( ord_less @ SV67 ) @ SY550 ) @ SY551 ) )
| ( hBOOL @ ( hAPP @ SV67 @ bool @ ( hAPP @ SV67 @ ( fun @ SV67 @ bool ) @ ( ord_less @ SV67 ) @ SY551 ) @ SY550 ) ) )
| ( ( ti @ SV67 @ SY550 )
!= ( ti @ SV67 @ SY551 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[660]) ).
thf(771,plain,
! [SV68: $i] :
( ( ( ~ ( order @ SV68 ) )
= $true )
| ( ( ! [SY552: $i,SY553: $i,SY554: $i] :
( ~ ( hBOOL @ ( hAPP @ SV68 @ bool @ ( hAPP @ SV68 @ ( fun @ SV68 @ bool ) @ ( ord_less @ SV68 ) @ SY553 ) @ SY554 ) )
| ( SY553 != SY552 )
| ( hBOOL @ ( hAPP @ SV68 @ bool @ ( hAPP @ SV68 @ ( fun @ SV68 @ bool ) @ ( ord_less @ SV68 ) @ SY552 ) @ SY554 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[661]) ).
thf(772,plain,
! [SV165: $i,SV69: $i] :
( ( ! [SY778: $i,SY779: $i,SY780: $i,SY781: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV69 @ bool ) @ bool @ ( hAPP @ ( fun @ SV69 @ SV165 ) @ ( fun @ ( fun @ SV69 @ bool ) @ bool ) @ ( inj_on @ SV69 @ SV165 ) @ SY780 ) @ SY781 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV69 @ bool ) @ bool @ ( hAPP @ SV69 @ ( fun @ ( fun @ SV69 @ bool ) @ bool ) @ ( member @ SV69 ) @ SY779 ) @ SY781 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV69 @ bool ) @ bool @ ( hAPP @ SV69 @ ( fun @ ( fun @ SV69 @ bool ) @ bool ) @ ( member @ SV69 ) @ SY778 ) @ SY781 ) )
| ~ ( ~ ( ( ( hAPP @ SV69 @ SV165 @ SY780 @ SY779 )
!= ( hAPP @ SV69 @ SV165 @ SY780 @ SY778 ) )
| ( ( ti @ SV69 @ SY779 )
= ( ti @ SV69 @ SY778 ) ) )
| ~ ( ( ( ti @ SV69 @ SY779 )
!= ( ti @ SV69 @ SY778 ) )
| ( ( hAPP @ SV69 @ SV165 @ SY780 @ SY779 )
= ( hAPP @ SV69 @ SV165 @ SY780 @ SY778 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[662]) ).
thf(773,plain,
! [SV166: $i,SV70: $i] :
( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ arrow_1384031255e_indi @ bool @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ bool ) @ arrow_1990387629ctator @ SV70 ) @ SV166 ) )
| ! [SY782: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SY782 ) @ arrow_1834574746e_Prof ) )
| ( ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV70 @ SY782 )
= ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY782 @ SV166 ) ) ) )
| ~ ( ~ ! [SY783: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SY783 ) @ arrow_1834574746e_Prof ) )
| ( ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV70 @ SY783 )
= ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY783 @ SV166 ) ) )
| ( hBOOL @ ( hAPP @ arrow_1384031255e_indi @ bool @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ bool ) @ arrow_1990387629ctator @ SV70 ) @ SV166 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[663]) ).
thf(774,plain,
! [SV71: $i] :
( ( ( ~ ( linorder @ SV71 ) )
= $true )
| ( ( ! [SY563: $i,SY564: $i] :
( ~ ( ( ( ti @ SV71 @ SY563 )
!= ( ti @ SV71 @ SY564 ) ) )
| ~ ~ ( hBOOL @ ( hAPP @ SV71 @ bool @ ( hAPP @ SV71 @ ( fun @ SV71 @ bool ) @ ( ord_less @ SV71 ) @ SY563 ) @ SY564 ) )
| ( hBOOL @ ( hAPP @ SV71 @ bool @ ( hAPP @ SV71 @ ( fun @ SV71 @ bool ) @ ( ord_less @ SV71 ) @ SY564 ) @ SY563 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[664]) ).
thf(775,plain,
! [SV72: $i] :
( ( ( ~ ( order @ SV72 ) )
= $true )
| ( ( ! [SY565: $i,SY566: $i] :
( ~ ( hBOOL @ ( hAPP @ SV72 @ bool @ ( hAPP @ SV72 @ ( fun @ SV72 @ bool ) @ ( ord_less @ SV72 ) @ SY565 ) @ SY566 ) )
| ( SY566 != SY565 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[665]) ).
thf(776,plain,
! [SV73: $i] :
( ( ( ~ ( top @ SV73 ) )
= $true )
| ( ( ! [SY567: $i] :
~ ( hBOOL @ ( hAPP @ SV73 @ bool @ ( hAPP @ SV73 @ ( fun @ SV73 @ bool ) @ ( ord_less @ SV73 ) @ ( top_top @ SV73 ) ) @ SY567 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[666]) ).
thf(777,plain,
! [SV74: $i] :
( ( ( ~ ( preorder @ SV74 ) )
= $true )
| ( ( ! [SY568: $i,SY569: $i] :
( ~ ( hBOOL @ ( hAPP @ SV74 @ bool @ ( hAPP @ SV74 @ ( fun @ SV74 @ bool ) @ ( ord_less @ SV74 ) @ SY568 ) @ SY569 ) )
| ~ ( hBOOL @ ( hAPP @ SV74 @ bool @ ( hAPP @ SV74 @ ( fun @ SV74 @ bool ) @ ( ord_less @ SV74 ) @ SY569 ) @ SY568 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[667]) ).
thf(778,plain,
! [SV75: $i] :
( ( ~ ( ~ ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) ) )
| ~ ( ~ ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[668]) ).
thf(779,plain,
( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( ord_less @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_992993526_mktop ) @ p ) ) @ e ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( fequal @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ arrow_1726925404_above ) @ p ) ) @ c ) ) @ e ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_844286440_mkbot ) @ p ) ) @ e ) ) ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combc @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( ord_less @ nat ) ) @ h ) ) @ n ) ) ) @ lab ) ) @ lba ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[669]) ).
thf(780,plain,
( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combc @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( ord_less @ nat ) ) @ h ) ) @ n ) ) ) @ lab ) ) @ lba ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( ord_less @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_992993526_mktop ) @ p ) ) @ e ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( fequal @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ arrow_1726925404_above ) @ p ) ) @ c ) ) @ e ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_844286440_mkbot ) @ p ) ) @ e ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[669]) ).
thf(781,plain,
! [SV167: $i,SV76: $i] :
( ( ! [SY784: $i] :
( ( ( ti @ SV76 @ SV167 )
!= ( ti @ SV76 @ SY784 ) )
| ( hBOOL @ ( hAPP @ SV76 @ bool @ ( hAPP @ SV76 @ ( fun @ SV76 @ bool ) @ ( fequal @ SV76 ) @ SV167 ) @ SY784 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[670]) ).
thf(782,plain,
! [SV168: $i,SV77: $i] :
( ( ! [SY785: $i,SY786: $i,SY787: $i,SY788: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV77 @ bool ) @ bool @ ( hAPP @ ( fun @ SV77 @ SV168 ) @ ( fun @ ( fun @ SV77 @ bool ) @ bool ) @ ( inj_on @ SV77 @ SV168 ) @ SY787 ) @ SY788 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV77 @ bool ) @ bool @ ( hAPP @ SV77 @ ( fun @ ( fun @ SV77 @ bool ) @ bool ) @ ( member @ SV77 ) @ SY786 ) @ SY788 ) )
| ( ( hAPP @ SV77 @ SV168 @ SY787 @ SY786 )
!= ( ti @ SV168 @ SY785 ) )
| ( ( hAPP @ SV168 @ SV77 @ ( hAPP @ ( fun @ SV77 @ SV168 ) @ ( fun @ SV168 @ SV77 ) @ ( hAPP @ ( fun @ SV77 @ bool ) @ ( fun @ ( fun @ SV77 @ SV168 ) @ ( fun @ SV168 @ SV77 ) ) @ ( hilbert_inv_into @ SV77 @ SV168 ) @ SY788 ) @ SY787 ) @ SY785 )
= ( ti @ SV77 @ SY786 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[671]) ).
thf(783,plain,
! [SV169: $i,SV78: $i] :
( ( ! [SY789: $i] :
( ~ ! [SY790: $i,SY791: $i] :
( ( ( hAPP @ SV78 @ SV169 @ SY789 @ SY790 )
!= ( hAPP @ SV78 @ SV169 @ SY789 @ SY791 ) )
| ( ( ti @ SV78 @ SY790 )
= ( ti @ SV78 @ SY791 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ SV78 @ bool ) @ bool @ ( hAPP @ ( fun @ SV78 @ SV169 ) @ ( fun @ ( fun @ SV78 @ bool ) @ bool ) @ ( inj_on @ SV78 @ SV169 ) @ SY789 ) @ ( top_top @ ( fun @ SV78 @ bool ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[672]) ).
thf(784,plain,
! [SV170: $i,SV79: $i] :
( ( ! [SY792: $i,SY793: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV79 @ bool ) @ bool @ ( hAPP @ ( fun @ SV79 @ SV170 ) @ ( fun @ ( fun @ SV79 @ bool ) @ bool ) @ ( inj_on @ SV79 @ SV170 ) @ SY793 ) @ ( top_top @ ( fun @ SV79 @ bool ) ) ) )
| ~ ! [SY794: $i] :
( ( hAPP @ SV79 @ SV170 @ SY793 @ ( hAPP @ SV170 @ SV79 @ SY792 @ SY794 ) )
= ( ti @ SV170 @ SY794 ) )
| ( ( hAPP @ ( fun @ SV79 @ SV170 ) @ ( fun @ SV170 @ SV79 ) @ ( hAPP @ ( fun @ SV79 @ bool ) @ ( fun @ ( fun @ SV79 @ SV170 ) @ ( fun @ SV170 @ SV79 ) ) @ ( hilbert_inv_into @ SV79 @ SV170 ) @ ( top_top @ ( fun @ SV79 @ bool ) ) ) @ SY793 )
= ( ti @ ( fun @ SV170 @ SV79 ) @ SY792 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[673]) ).
thf(785,plain,
! [SV80: $i,SV171: $i] :
( ( ! [SY795: $i] :
( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV171 )
!= ( ti @ arrow_1212486748le_alt @ SY795 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV80 ) @ arrow_638930832le_Lin ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV80 ) @ SV171 ) @ SY795 ) ) @ arrow_638930832le_Lin ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[674]) ).
thf(786,plain,
! [SV172: $i,SV81: $i] :
( ( ! [SY796: $i,SY797: $i,SY798: $i,SY799: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV81 @ bool ) @ bool @ ( hAPP @ ( fun @ SV81 @ SV172 ) @ ( fun @ ( fun @ SV81 @ bool ) @ bool ) @ ( inj_on @ SV81 @ SV172 ) @ SY798 ) @ SY799 ) )
| ~ ( ( ( ti @ SV81 @ SY796 )
!= ( ti @ SV81 @ SY797 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV81 @ bool ) @ bool @ ( hAPP @ SV81 @ ( fun @ ( fun @ SV81 @ bool ) @ bool ) @ ( member @ SV81 ) @ SY796 ) @ SY799 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV81 @ bool ) @ bool @ ( hAPP @ SV81 @ ( fun @ ( fun @ SV81 @ bool ) @ bool ) @ ( member @ SV81 ) @ SY797 ) @ SY799 ) )
| ( ( hAPP @ SV81 @ SV172 @ SY798 @ SY796 )
!= ( hAPP @ SV81 @ SV172 @ SY798 @ SY797 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[675]) ).
thf(787,plain,
! [SV173: $i,SV82: $i] :
( ( ! [SY800: $i,SY801: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ SY800 ) @ SY801 ) ) )
| ~ ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV173 )
!= ( ti @ arrow_1212486748le_alt @ SY801 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SY801 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV173 ) ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SY801 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ SY800 ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV173 )
!= ( ti @ arrow_1212486748le_alt @ SY801 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SY801 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV173 ) ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SY801 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ SY800 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ SY800 ) @ SY801 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[676]) ).
thf(788,plain,
! [SV174: $i,SV83: $i] :
( ( ! [SY802: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SY802 ) @ arrow_638930832le_Lin ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV83 ) @ SV174 ) ) @ SY802 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV174 ) @ SV83 ) ) @ SY802 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[677]) ).
thf(789,plain,
! [SV84: $i,SV175: $i] :
( ( ! [SY803: $i,SY804: $i,SY805: $i,SY806: $i] :
( ~ ( ( ( ti @ arrow_1212486748le_alt @ SY805 )
!= ( ti @ arrow_1212486748le_alt @ SY806 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SY803 )
!= ( ti @ arrow_1212486748le_alt @ SY804 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SY805 )
!= ( ti @ arrow_1212486748le_alt @ SY804 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SY806 )
!= ( ti @ arrow_1212486748le_alt @ SY803 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV175 ) @ arrow_1834574746e_Prof ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV84 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY807: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY805 ) @ SY806 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ SY807 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY803 ) @ SY804 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ SY807 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY803 ) @ SY804 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ SY807 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY805 ) @ SY806 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ SY807 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY805 ) @ SY806 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY803 ) @ SY804 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY803 ) @ SY804 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY805 ) @ SY806 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[678]) ).
thf(790,plain,
! [SV85: $i] :
( ( ( ~ ( ord @ SV85 ) )
= $true )
| ( ( ! [SY603: $i,SY604: $i,SY605: $i] :
( ~ ( hBOOL @ ( hAPP @ SV85 @ bool @ ( hAPP @ SV85 @ ( fun @ SV85 @ bool ) @ ( ord_less @ SV85 ) @ SY604 ) @ SY605 ) )
| ( SY605 != SY603 )
| ( hBOOL @ ( hAPP @ SV85 @ bool @ ( hAPP @ SV85 @ ( fun @ SV85 @ bool ) @ ( ord_less @ SV85 ) @ SY604 ) @ SY603 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[679]) ).
thf(791,plain,
! [SV86: $i,SV176: $i] :
( ( ~ ( order @ SV176 )
| ( order @ ( fun @ SV86 @ SV176 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[680]) ).
thf(792,plain,
! [SV87: $i] :
( ( ( ~ ( order @ SV87 ) )
= $true )
| ( ( ! [SY607: $i,SY608: $i,SY609: $i] :
( ( SY608 != SY609 )
| ~ ( hBOOL @ ( hAPP @ SV87 @ bool @ ( hAPP @ SV87 @ ( fun @ SV87 @ bool ) @ ( ord_less @ SV87 ) @ SY607 ) @ SY609 ) )
| ( hBOOL @ ( hAPP @ SV87 @ bool @ ( hAPP @ SV87 @ ( fun @ SV87 @ bool ) @ ( ord_less @ SV87 ) @ SY607 ) @ SY608 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[681]) ).
thf(793,plain,
! [SV88: $i] :
( ( ( ~ ( linorder @ SV88 ) )
= $true )
| ( ( ! [SY610: $i,SY611: $i] :
( ~ ~ ( hBOOL @ ( hAPP @ SV88 @ bool @ ( hAPP @ SV88 @ ( fun @ SV88 @ bool ) @ ( ord_less @ SV88 ) @ SY610 ) @ SY611 ) )
| ~ ( ( ( ti @ SV88 @ SY610 )
!= ( ti @ SV88 @ SY611 ) ) )
| ( hBOOL @ ( hAPP @ SV88 @ bool @ ( hAPP @ SV88 @ ( fun @ SV88 @ bool ) @ ( ord_less @ SV88 ) @ SY611 ) @ SY610 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[682]) ).
thf(794,plain,
! [SV89: $i] :
( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
| ! [SY612: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SY612 ) @ arrow_1834574746e_Prof ) )
| ! [SY613: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SY613 ) @ arrow_1834574746e_Prof ) )
| ! [SY614: $i,SY615: $i] :
( ~ ! [SX5: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY614 ) @ SY615 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY612 @ SX5 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY614 ) @ SY615 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY613 @ SX5 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY614 ) @ SY615 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY613 @ SX5 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY614 ) @ SY615 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY612 @ SX5 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY614 ) @ SY615 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SY612 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY614 ) @ SY615 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SY613 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY614 ) @ SY615 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SY613 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY614 ) @ SY615 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SY612 ) ) ) ) ) ) ) ) )
| ~ ( ~ ! [SY617: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SY617 ) @ arrow_1834574746e_Prof ) )
| ! [SY618: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SY618 ) @ arrow_1834574746e_Prof ) )
| ! [SY619: $i,SY620: $i] :
( ~ ! [SX5: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY619 ) @ SY620 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY617 @ SX5 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY619 ) @ SY620 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY618 @ SX5 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY619 ) @ SY620 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY618 @ SX5 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY619 ) @ SY620 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY617 @ SX5 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY619 ) @ SY620 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SY617 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY619 ) @ SY620 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SY618 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY619 ) @ SY620 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SY618 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY619 ) @ SY620 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SY617 ) ) ) ) ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[683]) ).
thf(795,plain,
! [SV177: $i,SV90: $i] :
( ( ! [SY808: $i] :
~ ( ~ ( ~ ! [SY809: $i] : ( hBOOL @ ( hAPP @ ( product_prod @ SV90 @ SV177 ) @ bool @ SY808 @ SY809 ) )
| ! [SY810: $i,SY811: $i] : ( hBOOL @ ( hAPP @ ( product_prod @ SV90 @ SV177 ) @ bool @ SY808 @ ( hAPP @ SV177 @ ( product_prod @ SV90 @ SV177 ) @ ( hAPP @ SV90 @ ( fun @ SV177 @ ( product_prod @ SV90 @ SV177 ) ) @ ( product_Pair @ SV90 @ SV177 ) @ SY810 ) @ SY811 ) ) ) )
| ~ ( ~ ! [SY812: $i,SY813: $i] : ( hBOOL @ ( hAPP @ ( product_prod @ SV90 @ SV177 ) @ bool @ SY808 @ ( hAPP @ SV177 @ ( product_prod @ SV90 @ SV177 ) @ ( hAPP @ SV90 @ ( fun @ SV177 @ ( product_prod @ SV90 @ SV177 ) ) @ ( product_Pair @ SV90 @ SV177 ) @ SY812 ) @ SY813 ) ) )
| ! [SY814: $i] : ( hBOOL @ ( hAPP @ ( product_prod @ SV90 @ SV177 ) @ bool @ SY808 @ SY814 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[684]) ).
thf(796,plain,
! [SV91: $i] :
( ( ( ~ ( top @ SV91 ) )
= $true )
| ( ( ( ti @ SV91 @ ( top_top @ SV91 ) )
= ( top_top @ SV91 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[685]) ).
thf(797,plain,
! [SV92: $i,SV178: $i] :
( ( ~ ( ord @ SV178 )
| ( ord @ ( fun @ SV92 @ SV178 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[686]) ).
thf(798,plain,
! [SV179: $i,SV93: $i] :
( ( ! [SY815: $i,SY816: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ ( fun @ SV93 @ SV179 ) @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( inj_on @ SV93 @ SV179 ) @ SY815 ) @ SY816 ) )
| ! [SY817: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ SV93 @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( member @ SV93 ) @ SY817 ) @ SY816 ) )
| ! [SY818: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ SV93 @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( member @ SV93 ) @ SY818 ) @ SY816 ) )
| ( ( hAPP @ SV93 @ SV179 @ SY815 @ SY817 )
!= ( hAPP @ SV93 @ SV179 @ SY815 @ SY818 ) )
| ( ( ti @ SV93 @ SY817 )
= ( ti @ SV93 @ SY818 ) ) ) ) )
| ~ ( ~ ! [SY819: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ SV93 @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( member @ SV93 ) @ SY819 ) @ SY816 ) )
| ! [SY820: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ SV93 @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( member @ SV93 ) @ SY820 ) @ SY816 ) )
| ( ( hAPP @ SV93 @ SV179 @ SY815 @ SY819 )
!= ( hAPP @ SV93 @ SV179 @ SY815 @ SY820 ) )
| ( ( ti @ SV93 @ SY819 )
= ( ti @ SV93 @ SY820 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ ( fun @ SV93 @ SV179 ) @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( inj_on @ SV93 @ SV179 ) @ SY815 ) @ SY816 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[687]) ).
thf(799,plain,
( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ p ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( ord_less @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_992993526_mktop ) @ p ) ) @ e ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( fequal @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ arrow_1726925404_above ) @ p ) ) @ c ) ) @ e ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_844286440_mkbot ) @ p ) ) @ e ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[688]) ).
thf(800,plain,
( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( ord_less @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_992993526_mktop ) @ p ) ) @ e ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( fequal @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ arrow_1726925404_above ) @ p ) ) @ c ) ) @ e ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_844286440_mkbot ) @ p ) ) @ e ) ) ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ p ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[688]) ).
thf(801,plain,
! [SV94: $i] :
( ( ( ~ ( order @ SV94 ) )
= $true )
| ( ( ! [SY638: $i,SY639: $i,SY640: $i] :
( ~ ( hBOOL @ ( hAPP @ SV94 @ bool @ ( hAPP @ SV94 @ ( fun @ SV94 @ bool ) @ ( ord_less @ SV94 ) @ SY639 ) @ SY640 ) )
| ~ ( hBOOL @ ( hAPP @ SV94 @ bool @ ( hAPP @ SV94 @ ( fun @ SV94 @ bool ) @ ( ord_less @ SV94 ) @ SY638 ) @ SY639 ) )
| ( hBOOL @ ( hAPP @ SV94 @ bool @ ( hAPP @ SV94 @ ( fun @ SV94 @ bool ) @ ( ord_less @ SV94 ) @ SY638 ) @ SY640 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[689]) ).
thf(802,plain,
! [SV95: $i] :
( ( ( ~ ( ord @ SV95 ) )
= $true )
| ( ( ( ti @ ( fun @ SV95 @ ( fun @ SV95 @ bool ) ) @ ( ord_less @ SV95 ) )
= ( ord_less @ SV95 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[690]) ).
thf(803,plain,
! [SV180: $i,SV96: $i] :
( ( ! [SY821: $i,SY822: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV96 @ bool ) @ bool @ ( hAPP @ ( fun @ SV96 @ SV180 ) @ ( fun @ ( fun @ SV96 @ bool ) @ bool ) @ ( inj_on @ SV96 @ SV180 ) @ SY822 ) @ ( top_top @ ( fun @ SV96 @ bool ) ) ) )
| ( ( hAPP @ SV180 @ SV96 @ ( hAPP @ ( fun @ SV96 @ SV180 ) @ ( fun @ SV180 @ SV96 ) @ ( hAPP @ ( fun @ SV96 @ bool ) @ ( fun @ ( fun @ SV96 @ SV180 ) @ ( fun @ SV180 @ SV96 ) ) @ ( hilbert_inv_into @ SV96 @ SV180 ) @ ( top_top @ ( fun @ SV96 @ bool ) ) ) @ SY822 ) @ ( hAPP @ SV96 @ SV180 @ SY822 @ SY821 ) )
= ( ti @ SV96 @ SY821 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[691]) ).
thf(804,plain,
! [SV181: $i,SV97: $i] :
( ( ! [SY823: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SY823 ) @ arrow_638930832le_Lin ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV97 )
!= ( ti @ arrow_1212486748le_alt @ SV181 ) ) )
| ~ ( ~ ( ~ ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV97 ) @ SV181 ) ) @ SY823 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV181 ) @ SV97 ) ) @ SY823 ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV181 ) @ SV97 ) ) @ SY823 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV97 ) @ SV181 ) ) @ SY823 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[692]) ).
thf(805,plain,
! [SV98: $i] :
( ( ( ~ ( linorder @ SV98 ) )
= $true )
| ( ( ! [SY646: $i,SY647: $i] :
( ~ ~ ( hBOOL @ ( hAPP @ SV98 @ bool @ ( hAPP @ SV98 @ ( fun @ SV98 @ bool ) @ ( ord_less @ SV98 ) @ SY646 ) @ SY647 ) )
| ~ ( ~ ( ~ ~ ( hBOOL @ ( hAPP @ SV98 @ bool @ ( hAPP @ SV98 @ ( fun @ SV98 @ bool ) @ ( ord_less @ SV98 ) @ SY647 ) @ SY646 ) )
| ( ( ti @ SV98 @ SY647 )
= ( ti @ SV98 @ SY646 ) ) )
| ~ ( ( ( ti @ SV98 @ SY647 )
!= ( ti @ SV98 @ SY646 ) )
| ~ ( hBOOL @ ( hAPP @ SV98 @ bool @ ( hAPP @ SV98 @ ( fun @ SV98 @ bool ) @ ( ord_less @ SV98 ) @ SY647 ) @ SY646 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[693]) ).
thf(806,plain,
! [SV182: $i,SV99: $i] :
( ( ! [SY824: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV99 @ bool ) @ bool @ ( hAPP @ SV99 @ ( fun @ ( fun @ SV99 @ bool ) @ bool ) @ ( member @ SV99 ) @ SV182 ) @ SY824 ) )
| ( hBOOL @ ( hAPP @ SV99 @ bool @ SY824 @ SV182 ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ SV99 @ bool @ SY824 @ SV182 ) )
| ( hBOOL @ ( hAPP @ ( fun @ SV99 @ bool ) @ bool @ ( hAPP @ SV99 @ ( fun @ ( fun @ SV99 @ bool ) @ bool ) @ ( member @ SV99 ) @ SV182 ) @ SY824 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[694]) ).
thf(807,plain,
! [SV100: $i] :
( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) ) ) ) ) ) )
| ~ ( ~ ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) ) ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[695]) ).
thf(808,plain,
! [SV183: $i,SV101: $i] :
( ( ! [SY825: $i,SY826: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ SY825 ) @ SY826 ) ) )
| ~ ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV101 )
!= ( ti @ arrow_1212486748le_alt @ SY826 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
!= ( ti @ arrow_1212486748le_alt @ SY826 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV101 )
!= ( ti @ arrow_1212486748le_alt @ SV183 ) ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
!= ( ti @ arrow_1212486748le_alt @ SY826 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ SY825 ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV101 )
!= ( ti @ arrow_1212486748le_alt @ SY826 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
!= ( ti @ arrow_1212486748le_alt @ SY826 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV101 )
!= ( ti @ arrow_1212486748le_alt @ SV183 ) ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
!= ( ti @ arrow_1212486748le_alt @ SY826 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ SY825 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ SY825 ) @ SY826 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[696]) ).
thf(809,plain,
! [SV102: $i] :
( ( ( ~ ( preorder @ SV102 ) )
= $true )
| ( ( ! [SY653: $i,SY654: $i] :
( ~ ( hBOOL @ ( hAPP @ SV102 @ bool @ ( hAPP @ SV102 @ ( fun @ SV102 @ bool ) @ ( ord_less @ SV102 ) @ SY653 ) @ SY654 ) )
| ~ ( hBOOL @ ( hAPP @ SV102 @ bool @ ( hAPP @ SV102 @ ( fun @ SV102 @ bool ) @ ( ord_less @ SV102 ) @ SY654 ) @ SY653 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[697]) ).
thf(810,plain,
! [SV103: $i] :
( ( ( ~ ( linorder @ SV103 ) )
= $true )
| ( ( ! [SY655: $i,SY656: $i] :
~ ( ~ ( ~ ~ ( hBOOL @ ( hAPP @ SV103 @ bool @ ( hAPP @ SV103 @ ( fun @ SV103 @ bool ) @ ( ord_less @ SV103 ) @ SY655 ) @ SY656 ) )
| ( hBOOL @ ( hAPP @ SV103 @ bool @ ( hAPP @ SV103 @ ( fun @ SV103 @ bool ) @ ( ord_less @ SV103 ) @ SY656 ) @ SY655 ) )
| ( ( ti @ SV103 @ SY655 )
= ( ti @ SV103 @ SY656 ) ) )
| ~ ( ~ ( ( hBOOL @ ( hAPP @ SV103 @ bool @ ( hAPP @ SV103 @ ( fun @ SV103 @ bool ) @ ( ord_less @ SV103 ) @ SY656 ) @ SY655 ) )
| ( ( ti @ SV103 @ SY655 )
= ( ti @ SV103 @ SY656 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV103 @ bool @ ( hAPP @ SV103 @ ( fun @ SV103 @ bool ) @ ( ord_less @ SV103 ) @ SY655 ) @ SY656 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[698]) ).
thf(811,plain,
! [SV104: $i,SV184: $i] :
( ( ! [SY827: $i,SY828: $i,SY829: $i,SY830: $i] :
( ~ ( ( ( ti @ arrow_1212486748le_alt @ SY829 )
!= ( ti @ arrow_1212486748le_alt @ SY830 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SY827 )
!= ( ti @ arrow_1212486748le_alt @ SY828 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SY829 )
!= ( ti @ arrow_1212486748le_alt @ SY828 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SY830 )
!= ( ti @ arrow_1212486748le_alt @ SY827 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV184 ) @ arrow_1834574746e_Prof ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV104 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY831: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY829 ) @ SY830 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV184 @ SY831 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY827 ) @ SY828 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV104 @ SY831 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY827 ) @ SY828 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV104 @ SY831 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY829 ) @ SY830 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV184 @ SY831 ) ) ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY829 ) @ SY830 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV184 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY827 ) @ SY828 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV104 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[699]) ).
thf(812,plain,
! [SV105: $i] :
( ( ( ~ ( order @ SV105 ) )
= $true )
| ( ( ! [SY663: $i,SY664: $i] :
( ~ ( hBOOL @ ( hAPP @ SV105 @ bool @ ( hAPP @ SV105 @ ( fun @ SV105 @ bool ) @ ( ord_less @ SV105 ) @ SY663 ) @ SY664 ) )
| ( SY663 != SY664 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[700]) ).
thf(813,plain,
! [SV106: $i,SV185: $i] :
( ( ! [SY832: $i,SY833: $i,SY834: $i] :
( ~ ( ( ( ti @ arrow_1212486748le_alt @ SY833 )
!= ( ti @ arrow_1212486748le_alt @ SY834 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SY834 )
!= ( ti @ arrow_1212486748le_alt @ SY832 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SY833 )
!= ( ti @ arrow_1212486748le_alt @ SY832 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV185 ) @ arrow_1834574746e_Prof ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV106 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY835: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY833 ) @ SY834 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ SY835 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY834 ) @ SY832 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ SY835 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY834 ) @ SY832 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ SY835 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY833 ) @ SY834 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ SY835 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY833 ) @ SY834 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY834 ) @ SY832 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY834 ) @ SY832 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY833 ) @ SY834 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[701]) ).
thf(814,plain,
! [SV107: $i] :
( ( ( ~ ( linorder @ SV107 ) )
= $true )
| ( ( ! [SY670: $i,SY671: $i] :
( ( hBOOL @ ( hAPP @ SV107 @ bool @ ( hAPP @ SV107 @ ( fun @ SV107 @ bool ) @ ( ord_less @ SV107 ) @ SY670 ) @ SY671 ) )
| ( ( ti @ SV107 @ SY670 )
= ( ti @ SV107 @ SY671 ) )
| ( hBOOL @ ( hAPP @ SV107 @ bool @ ( hAPP @ SV107 @ ( fun @ SV107 @ bool ) @ ( ord_less @ SV107 ) @ SY671 ) @ SY670 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[702]) ).
thf(815,plain,
! [SV108: $i,SV186: $i] :
( ( ~ ( preorder @ SV186 )
| ( preorder @ ( fun @ SV108 @ SV186 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[703]) ).
thf(816,plain,
! [SV187: $i,SV109: $i] :
( ( ! [SY836: $i,SY837: $i,SY838: $i,SY839: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV109 @ bool ) @ bool @ ( hAPP @ ( fun @ SV109 @ SV187 ) @ ( fun @ ( fun @ SV109 @ bool ) @ bool ) @ ( inj_on @ SV109 @ SV187 ) @ SY838 ) @ SY839 ) )
| ( ( hAPP @ SV109 @ SV187 @ SY838 @ SY836 )
!= ( hAPP @ SV109 @ SV187 @ SY838 @ SY837 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV109 @ bool ) @ bool @ ( hAPP @ SV109 @ ( fun @ ( fun @ SV109 @ bool ) @ bool ) @ ( member @ SV109 ) @ SY836 ) @ SY839 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV109 @ bool ) @ bool @ ( hAPP @ SV109 @ ( fun @ ( fun @ SV109 @ bool ) @ bool ) @ ( member @ SV109 ) @ SY837 ) @ SY839 ) )
| ( ( ti @ SV109 @ SY836 )
= ( ti @ SV109 @ SY837 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[704]) ).
thf(817,plain,
! [SV110: $i] :
( ( ( ~ ( preorder @ SV110 ) )
= $true )
| ( ( ! [SY678: $i,SY679: $i] :
( ~ ( hBOOL @ ( hAPP @ SV110 @ bool @ ( hAPP @ SV110 @ ( fun @ SV110 @ bool ) @ ( ord_less @ SV110 ) @ SY678 ) @ SY679 ) )
| ~ ( hBOOL @ ( hAPP @ SV110 @ bool @ ( hAPP @ SV110 @ ( fun @ SV110 @ bool ) @ ( ord_less @ SV110 ) @ SY679 ) @ SY678 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[705]) ).
thf(818,plain,
! [SV111: $i] :
( ( ( ~ ( preorder @ SV111 ) )
= $true )
| ( ( ! [SY680: $i,SY681: $i,SY682: $i] :
( ~ ( hBOOL @ ( hAPP @ SV111 @ bool @ ( hAPP @ SV111 @ ( fun @ SV111 @ bool ) @ ( ord_less @ SV111 ) @ SY681 ) @ SY682 ) )
| ~ ( hBOOL @ ( hAPP @ SV111 @ bool @ ( hAPP @ SV111 @ ( fun @ SV111 @ bool ) @ ( ord_less @ SV111 ) @ SY682 ) @ SY681 ) )
| ( hBOOL @ SY680 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[706]) ).
thf(819,plain,
! [SV112: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV112 ) @ arrow_638930832le_Lin ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( combk @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ arrow_1384031255e_indi ) @ SV112 ) ) @ arrow_1834574746e_Prof ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[707]) ).
thf(820,plain,
! [SV113: $i] :
( ( ( ~ ( top @ SV113 ) )
= $true )
| ( ( ! [SY683: $i] :
~ ( ~ ( ~ ( ( ( ti @ SV113 @ SY683 )
!= ( top_top @ SV113 ) ) )
| ( hBOOL @ ( hAPP @ SV113 @ bool @ ( hAPP @ SV113 @ ( fun @ SV113 @ bool ) @ ( ord_less @ SV113 ) @ SY683 ) @ ( top_top @ SV113 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ SV113 @ bool @ ( hAPP @ SV113 @ ( fun @ SV113 @ bool ) @ ( ord_less @ SV113 ) @ SY683 ) @ ( top_top @ SV113 ) ) )
| ( ( ti @ SV113 @ SY683 )
!= ( top_top @ SV113 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[708]) ).
thf(821,plain,
! [SV188: $i,SV114: $i] :
( ( ! [SY840: $i,SY841: $i] :
( ~ ! [SY842: $i] :
( ( hAPP @ SV114 @ SV188 @ SY840 @ SY842 )
= ( hAPP @ SV114 @ SV188 @ SY841 @ SY842 ) )
| ( ( ti @ ( fun @ SV114 @ SV188 ) @ SY840 )
= ( ti @ ( fun @ SV114 @ SV188 ) @ SY841 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[709]) ).
thf(822,plain,
! [SV115: $i] :
( ( ( ~ ( order @ SV115 ) )
= $true )
| ( ( ! [SY688: $i,SY689: $i] :
( ~ ( hBOOL @ ( hAPP @ SV115 @ bool @ ( hAPP @ SV115 @ ( fun @ SV115 @ bool ) @ ( ord_less @ SV115 ) @ SY688 ) @ SY689 ) )
| ( SY688 != SY689 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[710]) ).
thf(823,plain,
! [SV189: $i,SV116: $i,SV1: $i] :
( ( ( ti @ ( fun @ ( fun @ SV1 @ SV116 ) @ ( fun @ ( fun @ SV189 @ SV1 ) @ ( fun @ SV189 @ SV116 ) ) ) @ ( combb @ SV1 @ SV116 @ SV189 ) )
= ( combb @ SV1 @ SV116 @ SV189 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[712]) ).
thf(824,plain,
! [SV190: $i,SV117: $i,SV2: $i] :
( ( ( ti @ ( fun @ ( fun @ SV2 @ ( fun @ SV117 @ SV190 ) ) @ ( fun @ SV117 @ ( fun @ SV2 @ SV190 ) ) ) @ ( combc @ SV2 @ SV117 @ SV190 ) )
= ( combc @ SV2 @ SV117 @ SV190 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[713]) ).
thf(825,plain,
! [SV191: $i,SV119: $i,SV5: $i] :
( ( ( ti @ ( fun @ ( fun @ SV5 @ ( fun @ SV119 @ SV191 ) ) @ ( fun @ ( fun @ SV5 @ SV119 ) @ ( fun @ SV5 @ SV191 ) ) ) @ ( combs @ SV5 @ SV119 @ SV191 ) )
= ( combs @ SV5 @ SV119 @ SV191 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[715]) ).
thf(826,plain,
! [SV192: $i,SV124: $i,SV12: $i] :
( ( ( ti @ ( fun @ ( fun @ SV12 @ ( fun @ SV124 @ SV192 ) ) @ ( fun @ ( product_prod @ SV12 @ SV124 ) @ SV192 ) ) @ ( product_prod_rec @ SV12 @ SV124 @ SV192 ) )
= ( product_prod_rec @ SV12 @ SV124 @ SV192 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[720]) ).
thf(827,plain,
! [SV193: $i,SV125: $i,SV15: $i] :
( ( ! [SY843: $i] :
( ( hAPP @ SV15 @ SV125 @ ( ti @ ( fun @ SV15 @ SV125 ) @ SV193 ) @ SY843 )
= ( hAPP @ SV15 @ SV125 @ SV193 @ SY843 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[721]) ).
thf(828,plain,
! [SV194: $i,SV126: $i,SV16: $i] :
( ( ! [SY844: $i] :
( ( hAPP @ SV16 @ SV126 @ SV194 @ ( ti @ SV16 @ SY844 ) )
= ( hAPP @ SV16 @ SV126 @ SV194 @ SY844 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[722]) ).
thf(829,plain,
! [SV195: $i,SV127: $i,SV17: $i] :
( ( ! [SY845: $i] :
( ( ti @ SV17 @ ( hAPP @ SV127 @ SV17 @ SV195 @ SY845 ) )
= ( hAPP @ SV127 @ SV17 @ SV195 @ SY845 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[723]) ).
thf(830,plain,
! [SV196: $i,SV131: $i,SV22: $i] :
( ( ! [SY846: $i,SY847: $i,SY848: $i] :
( ( hAPP @ ( product_prod @ SV22 @ SV131 ) @ SV196 @ ( hAPP @ ( fun @ SV22 @ ( fun @ SV131 @ SV196 ) ) @ ( fun @ ( product_prod @ SV22 @ SV131 ) @ SV196 ) @ ( product_prod_rec @ SV22 @ SV131 @ SV196 ) @ SY846 ) @ ( hAPP @ SV131 @ ( product_prod @ SV22 @ SV131 ) @ ( hAPP @ SV22 @ ( fun @ SV131 @ ( product_prod @ SV22 @ SV131 ) ) @ ( product_Pair @ SV22 @ SV131 ) @ SY847 ) @ SY848 ) )
= ( hAPP @ SV131 @ SV196 @ ( hAPP @ SV22 @ ( fun @ SV131 @ SV196 ) @ SY846 @ SY847 ) @ SY848 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[727]) ).
thf(831,plain,
! [SV197: $i,SV135: $i,SV28: $i] :
( ( ( hAPP @ ( fun @ SV28 @ ( fun @ SV135 @ bool ) ) @ ( fun @ ( fun @ SV28 @ SV135 ) @ bool ) @ ( hAPP @ ( fun @ SV28 @ bool ) @ ( fun @ ( fun @ SV28 @ ( fun @ SV135 @ bool ) ) @ ( fun @ ( fun @ SV28 @ SV135 ) @ bool ) ) @ ( pi @ SV28 @ SV135 ) @ SV197 ) @ ( hAPP @ ( fun @ SV135 @ bool ) @ ( fun @ SV28 @ ( fun @ SV135 @ bool ) ) @ ( combk @ ( fun @ SV135 @ bool ) @ SV28 ) @ ( top_top @ ( fun @ SV135 @ bool ) ) ) )
= ( top_top @ ( fun @ ( fun @ SV28 @ SV135 ) @ bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[731]) ).
thf(832,plain,
! [SV198: $i,SV137: $i,SV30: $i] :
( ( ( hAPP @ SV30 @ SV30 @ ( hAPP @ SV30 @ ( fun @ SV30 @ SV30 ) @ ( hAPP @ bool @ ( fun @ SV30 @ ( fun @ SV30 @ SV30 ) ) @ ( if @ SV30 ) @ fTrue ) @ SV137 ) @ SV198 )
= ( ti @ SV30 @ SV137 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[733]) ).
thf(833,plain,
! [SV199: $i,SV138: $i,SV31: $i] :
( ( ( hAPP @ SV31 @ SV31 @ ( hAPP @ SV31 @ ( fun @ SV31 @ SV31 ) @ ( hAPP @ bool @ ( fun @ SV31 @ ( fun @ SV31 @ SV31 ) ) @ ( if @ SV31 ) @ fFalse ) @ SV138 ) @ SV199 )
= ( ti @ SV31 @ SV199 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[734]) ).
thf(834,plain,
! [SV200: $i,SV139: $i,SV33: $i] :
( ( ! [SY849: $i,SY850: $i,SY851: $i] :
( ( hAPP @ SV33 @ SV139 @ ( hAPP @ ( fun @ SV33 @ SV200 ) @ ( fun @ SV33 @ SV139 ) @ ( hAPP @ ( fun @ SV200 @ SV139 ) @ ( fun @ ( fun @ SV33 @ SV200 ) @ ( fun @ SV33 @ SV139 ) ) @ ( combb @ SV200 @ SV139 @ SV33 ) @ SY849 ) @ SY850 ) @ SY851 )
= ( hAPP @ SV200 @ SV139 @ SY849 @ ( hAPP @ SV33 @ SV200 @ SY850 @ SY851 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[736]) ).
thf(835,plain,
! [SV201: $i,SV140: $i,SV34: $i] :
( ( ! [SY852: $i,SY853: $i,SY854: $i] :
( ( hAPP @ SV34 @ SV140 @ ( hAPP @ SV201 @ ( fun @ SV34 @ SV140 ) @ ( hAPP @ ( fun @ SV34 @ ( fun @ SV201 @ SV140 ) ) @ ( fun @ SV201 @ ( fun @ SV34 @ SV140 ) ) @ ( combc @ SV34 @ SV201 @ SV140 ) @ SY852 ) @ SY853 ) @ SY854 )
= ( hAPP @ SV201 @ SV140 @ ( hAPP @ SV34 @ ( fun @ SV201 @ SV140 ) @ SY852 @ SY854 ) @ SY853 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[737]) ).
thf(836,plain,
! [SV202: $i,SV142: $i,SV36: $i] :
( ( ! [SY855: $i] :
( ( hAPP @ SV36 @ SV142 @ ( hAPP @ SV142 @ ( fun @ SV36 @ SV142 ) @ ( combk @ SV142 @ SV36 ) @ SV202 ) @ SY855 )
= ( ti @ SV142 @ SV202 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[739]) ).
thf(837,plain,
! [SV203: $i,SV143: $i,SV37: $i] :
( ( ! [SY856: $i,SY857: $i,SY858: $i] :
( ( hAPP @ SV37 @ SV143 @ ( hAPP @ ( fun @ SV37 @ SV203 ) @ ( fun @ SV37 @ SV143 ) @ ( hAPP @ ( fun @ SV37 @ ( fun @ SV203 @ SV143 ) ) @ ( fun @ ( fun @ SV37 @ SV203 ) @ ( fun @ SV37 @ SV143 ) ) @ ( combs @ SV37 @ SV203 @ SV143 ) @ SY856 ) @ SY857 ) @ SY858 )
= ( hAPP @ SV203 @ SV143 @ ( hAPP @ SV37 @ ( fun @ SV203 @ SV143 ) @ SY856 @ SY858 ) @ ( hAPP @ SV37 @ SV203 @ SY857 @ SY858 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[740]) ).
thf(838,plain,
! [SV204: $i,SV144: $i,SV39: $i] :
( ( ~ ( hBOOL @ ( hAPP @ SV39 @ bool @ ( hAPP @ SV39 @ ( fun @ SV39 @ bool ) @ ( fequal @ SV39 ) @ SV144 ) @ SV204 ) )
| ( ( ti @ SV39 @ SV144 )
= ( ti @ SV39 @ SV204 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[742]) ).
thf(839,plain,
! [SV205: $i,SV145: $i,SV40: $i] :
( ( ! [SY859: $i,SY860: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV40 @ bool ) @ bool @ ( hAPP @ ( fun @ SV40 @ SV145 ) @ ( fun @ ( fun @ SV40 @ bool ) @ bool ) @ ( inj_on @ SV40 @ SV145 ) @ SY860 ) @ ( top_top @ ( fun @ SV40 @ bool ) ) ) )
| ( ( hAPP @ SV40 @ SV145 @ SY860 @ SV205 )
!= ( hAPP @ SV40 @ SV145 @ SY860 @ SY859 ) )
| ( ( ti @ SV40 @ SV205 )
= ( ti @ SV40 @ SY859 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[743]) ).
thf(840,plain,
! [SV146: $i,SV41: $i] :
( ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV41 )
!= ( ti @ arrow_1212486748le_alt @ SV146 ) ) ) )
= $true )
| ( ( ~ ! [SY725: $i] :
~ ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SY725 ) @ arrow_638930832le_Lin ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV41 ) @ SV146 ) ) @ SY725 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[744]) ).
thf(841,plain,
! [SV42: $i,SV147: $i] :
( ( ( ~ ( top @ SV147 ) )
= $true )
| ( ( top @ ( fun @ SV42 @ SV147 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[745]) ).
thf(842,plain,
! [SV43: $i] :
( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_1932713123nimity @ SV43 ) )
| ! [SY462: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SY462 ) @ arrow_1834574746e_Prof ) )
| ! [SY463: $i,SY464: $i] :
( ~ ! [SX4: $i] : ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY463 ) @ SY464 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY462 @ SX4 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY463 ) @ SY464 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV43 @ SY462 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[746]) ).
thf(843,plain,
! [SV43: $i] :
( ( ~ ( ~ ! [SY466: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SY466 ) @ arrow_1834574746e_Prof ) )
| ! [SY467: $i,SY468: $i] :
( ~ ! [SX4: $i] : ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY467 ) @ SY468 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY466 @ SX4 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY467 ) @ SY468 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV43 @ SY466 ) ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_1932713123nimity @ SV43 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[746]) ).
thf(844,plain,
! [SV44: $i,SV206: $i,SV148: $i] :
( ( ! [SY861: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV148 @ bool ) @ bool @ ( hAPP @ ( fun @ SV148 @ SV206 ) @ ( fun @ ( fun @ SV148 @ bool ) @ bool ) @ ( inj_on @ SV148 @ SV206 ) @ SY861 ) @ ( top_top @ ( fun @ SV148 @ bool ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ SV148 @ bool ) @ bool @ ( hAPP @ ( fun @ SV148 @ ( fun @ SV44 @ SV206 ) ) @ ( fun @ ( fun @ SV148 @ bool ) @ bool ) @ ( inj_on @ SV148 @ ( fun @ SV44 @ SV206 ) ) @ ( hAPP @ ( fun @ SV148 @ SV206 ) @ ( fun @ SV148 @ ( fun @ SV44 @ SV206 ) ) @ ( hAPP @ ( fun @ SV206 @ ( fun @ SV44 @ SV206 ) ) @ ( fun @ ( fun @ SV148 @ SV206 ) @ ( fun @ SV148 @ ( fun @ SV44 @ SV206 ) ) ) @ ( combb @ SV206 @ ( fun @ SV44 @ SV206 ) @ SV148 ) @ ( combk @ SV206 @ SV44 ) ) @ SY861 ) ) @ ( top_top @ ( fun @ SV148 @ bool ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[747]) ).
thf(845,plain,
! [SV45: $i,SV149: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV149 ) @ arrow_638930832le_Lin ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ SV149 ) @ SV45 ) ) @ arrow_638930832le_Lin ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[748]) ).
thf(846,plain,
! [SV207: $i,SV150: $i,SV46: $i] :
( ( ! [SY862: $i,SY863: $i,SY864: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ SV46 @ SV150 ) @ bool ) @ bool @ ( hAPP @ ( fun @ SV46 @ SV150 ) @ ( fun @ ( fun @ ( fun @ SV46 @ SV150 ) @ bool ) @ bool ) @ ( member @ ( fun @ SV46 @ SV150 ) ) @ SY862 ) @ ( hAPP @ ( fun @ SV46 @ ( fun @ SV150 @ bool ) ) @ ( fun @ ( fun @ SV46 @ SV150 ) @ bool ) @ ( hAPP @ ( fun @ SV46 @ bool ) @ ( fun @ ( fun @ SV46 @ ( fun @ SV150 @ bool ) ) @ ( fun @ ( fun @ SV46 @ SV150 ) @ bool ) ) @ ( pi @ SV46 @ SV150 ) @ SY863 ) @ SY864 ) ) )
| ~ ~ ( hBOOL @ ( hAPP @ ( fun @ SV150 @ bool ) @ bool @ ( hAPP @ SV150 @ ( fun @ ( fun @ SV150 @ bool ) @ bool ) @ ( member @ SV150 ) @ ( hAPP @ SV46 @ SV150 @ SY862 @ SV207 ) ) @ ( hAPP @ SV46 @ ( fun @ SV150 @ bool ) @ SY864 @ SV207 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV46 @ bool ) @ bool @ ( hAPP @ SV46 @ ( fun @ ( fun @ SV46 @ bool ) @ bool ) @ ( member @ SV46 ) @ SV207 ) @ SY863 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[749]) ).
thf(847,plain,
! [SV208: $i,SV151: $i,SV47: $i] :
( ( ! [SY865: $i,SY866: $i,SY867: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ SV47 @ SV151 ) @ bool ) @ bool @ ( hAPP @ ( fun @ SV47 @ SV151 ) @ ( fun @ ( fun @ ( fun @ SV47 @ SV151 ) @ bool ) @ bool ) @ ( member @ ( fun @ SV47 @ SV151 ) ) @ SY865 ) @ ( hAPP @ ( fun @ SV47 @ ( fun @ SV151 @ bool ) ) @ ( fun @ ( fun @ SV47 @ SV151 ) @ bool ) @ ( hAPP @ ( fun @ SV47 @ bool ) @ ( fun @ ( fun @ SV47 @ ( fun @ SV151 @ bool ) ) @ ( fun @ ( fun @ SV47 @ SV151 ) @ bool ) ) @ ( pi @ SV47 @ SV151 ) @ SY866 ) @ SY867 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV47 @ bool ) @ bool @ ( hAPP @ SV47 @ ( fun @ ( fun @ SV47 @ bool ) @ bool ) @ ( member @ SV47 ) @ SV208 ) @ SY866 ) )
| ( hBOOL @ ( hAPP @ ( fun @ SV151 @ bool ) @ bool @ ( hAPP @ SV151 @ ( fun @ ( fun @ SV151 @ bool ) @ bool ) @ ( member @ SV151 ) @ ( hAPP @ SV47 @ SV151 @ SY865 @ SV208 ) ) @ ( hAPP @ SV47 @ ( fun @ SV151 @ bool ) @ SY867 @ SV208 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[750]) ).
thf(848,plain,
! [SV209: $i,SV152: $i,SV48: $i] :
( ( ! [SY868: $i,SY869: $i,SY870: $i] :
~ ( ~ ( ( ( hAPP @ SV48 @ ( product_prod @ SV152 @ SV48 ) @ ( hAPP @ SV152 @ ( fun @ SV48 @ ( product_prod @ SV152 @ SV48 ) ) @ ( product_Pair @ SV152 @ SV48 ) @ SV209 ) @ SY868 )
!= ( hAPP @ SV48 @ ( product_prod @ SV152 @ SV48 ) @ ( hAPP @ SV152 @ ( fun @ SV48 @ ( product_prod @ SV152 @ SV48 ) ) @ ( product_Pair @ SV152 @ SV48 ) @ SY869 ) @ SY870 ) )
| ~ ( ( ( ti @ SV152 @ SV209 )
!= ( ti @ SV152 @ SY869 ) )
| ( ( ti @ SV48 @ SY868 )
!= ( ti @ SV48 @ SY870 ) ) ) )
| ~ ( ~ ~ ( ( ( ti @ SV152 @ SV209 )
!= ( ti @ SV152 @ SY869 ) )
| ( ( ti @ SV48 @ SY868 )
!= ( ti @ SV48 @ SY870 ) ) )
| ( ( hAPP @ SV48 @ ( product_prod @ SV152 @ SV48 ) @ ( hAPP @ SV152 @ ( fun @ SV48 @ ( product_prod @ SV152 @ SV48 ) ) @ ( product_Pair @ SV152 @ SV48 ) @ SV209 ) @ SY868 )
= ( hAPP @ SV48 @ ( product_prod @ SV152 @ SV48 ) @ ( hAPP @ SV152 @ ( fun @ SV48 @ ( product_prod @ SV152 @ SV48 ) ) @ ( product_Pair @ SV152 @ SV48 ) @ SY869 ) @ SY870 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[751]) ).
thf(849,plain,
! [SV49: $i,SV153: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV153 ) @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) ) @ ( pi @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1834574746e_Prof ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( combk @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_638930832le_Lin ) ) ) ) )
= $true )
| ( ( ~ ! [SY740: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SY740 ) @ arrow_1834574746e_Prof ) )
| ! [SY741: $i,SY742: $i] :
( ~ ( ( ( ti @ arrow_1212486748le_alt @ SY741 )
!= ( ti @ arrow_1212486748le_alt @ SY742 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY741 ) @ SY742 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY740 @ SV49 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY741 ) @ SY742 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV153 @ SY740 ) ) ) ) )
| ( hBOOL @ ( hAPP @ arrow_1384031255e_indi @ bool @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ bool ) @ arrow_1990387629ctator @ SV153 ) @ SV49 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[752]) ).
thf(850,plain,
! [SV210: $i,SV154: $i,SV50: $i] :
( ( ! [SY871: $i] :
~ ( ~ ( ~ ! [SY872: $i,SY873: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SY872 ) @ SY873 ) ) @ SY871 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SY872 ) @ SY873 ) ) @ SV210 ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SY872 ) @ SY873 ) ) @ SV210 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SY872 ) @ SY873 ) ) @ SY871 ) ) ) )
| ( ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SY871 )
= ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV210 ) ) )
| ~ ( ( ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SY871 )
!= ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV210 ) )
| ! [SY874: $i,SY875: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SY874 ) @ SY875 ) ) @ SY871 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SY874 ) @ SY875 ) ) @ SV210 ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SY874 ) @ SY875 ) ) @ SV210 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SY874 ) @ SY875 ) ) @ SY871 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[753]) ).
thf(851,plain,
! [SV155: $i,SV51: $i,SV211: $i] :
( ( ! [SY876: $i,SY877: $i] :
( ~ ( ( ( ti @ arrow_1212486748le_alt @ SY876 )
!= ( ti @ arrow_1212486748le_alt @ SY877 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SY876 ) @ SY877 ) ) )
| ~ ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV155 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SY877 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY876 ) @ SV155 ) ) @ SV211 ) ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SY877 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SY877 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SY876 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SY876 ) ) @ SV211 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SY877 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) ) ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV155 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SY877 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY876 ) @ SV155 ) ) @ SV211 ) ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SY877 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SY877 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SY876 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SY876 ) ) @ SV211 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SY877 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) ) ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SY876 ) @ SY877 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[754]) ).
thf(852,plain,
! [SV212: $i,SV156: $i,SV52: $i] :
( ( ! [SY878: $i,SY879: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV52 @ bool ) @ bool @ ( hAPP @ ( fun @ SV52 @ SV156 ) @ ( fun @ ( fun @ SV52 @ bool ) @ bool ) @ ( inj_on @ SV52 @ SV156 ) @ SY879 ) @ ( top_top @ ( fun @ SV52 @ bool ) ) ) )
| ~ ( ~ ( ( ( hAPP @ SV52 @ SV156 @ SY879 @ SV212 )
!= ( hAPP @ SV52 @ SV156 @ SY879 @ SY878 ) )
| ( ( ti @ SV52 @ SV212 )
= ( ti @ SV52 @ SY878 ) ) )
| ~ ( ( ( ti @ SV52 @ SV212 )
!= ( ti @ SV52 @ SY878 ) )
| ( ( hAPP @ SV52 @ SV156 @ SY879 @ SV212 )
= ( hAPP @ SV52 @ SV156 @ SY879 @ SY878 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[755]) ).
thf(853,plain,
! [SV213: $i,SV157: $i,SV53: $i] :
( ( ! [SY880: $i,SY881: $i,SY882: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ SV53 @ SV157 ) @ bool ) @ bool @ ( hAPP @ ( fun @ SV53 @ SV157 ) @ ( fun @ ( fun @ ( fun @ SV53 @ SV157 ) @ bool ) @ bool ) @ ( member @ ( fun @ SV53 @ SV157 ) ) @ SY880 ) @ ( hAPP @ ( fun @ SV53 @ ( fun @ SV157 @ bool ) ) @ ( fun @ ( fun @ SV53 @ SV157 ) @ bool ) @ ( hAPP @ ( fun @ SV53 @ bool ) @ ( fun @ ( fun @ SV53 @ ( fun @ SV157 @ bool ) ) @ ( fun @ ( fun @ SV53 @ SV157 ) @ bool ) ) @ ( pi @ SV53 @ SV157 ) @ SY881 ) @ ( hAPP @ ( fun @ SV157 @ bool ) @ ( fun @ SV53 @ ( fun @ SV157 @ bool ) ) @ ( combk @ ( fun @ SV157 @ bool ) @ SV53 ) @ SY882 ) ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV53 @ bool ) @ bool @ ( hAPP @ SV53 @ ( fun @ ( fun @ SV53 @ bool ) @ bool ) @ ( member @ SV53 ) @ SV213 ) @ SY881 ) )
| ( hBOOL @ ( hAPP @ ( fun @ SV157 @ bool ) @ bool @ ( hAPP @ SV157 @ ( fun @ ( fun @ SV157 @ bool ) @ bool ) @ ( member @ SV157 ) @ ( hAPP @ SV53 @ SV157 @ SY880 @ SV213 ) ) @ SY882 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[756]) ).
thf(854,plain,
! [SV54: $i,SV158: $i,SV214: $i] :
( ( ! [SY883: $i,SY884: $i,SY885: $i] :
( ~ ( ( ( ti @ arrow_1212486748le_alt @ SY884 )
!= ( ti @ arrow_1212486748le_alt @ SY885 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV214 )
!= ( ti @ arrow_1212486748le_alt @ SY883 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV158 ) @ arrow_1834574746e_Prof ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV54 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY886: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY884 ) @ SY885 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ SY886 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SY883 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ SY886 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SY883 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ SY886 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY884 ) @ SY885 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ SY886 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY884 ) @ SY885 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SY883 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SY883 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY884 ) @ SY885 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[757]) ).
thf(855,plain,
! [SV55: $i] :
( ( ~ ( ~ ( hBOOL @ ( ti @ bool @ SV55 ) )
| ( hBOOL @ SV55 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[758]) ).
thf(856,plain,
! [SV55: $i] :
( ( ~ ( ~ ( hBOOL @ SV55 )
| ( hBOOL @ ( ti @ bool @ SV55 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[758]) ).
thf(857,plain,
! [SV215: $i,SV159: $i,SV56: $i] :
( ( ! [SY887: $i,SY888: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV56 @ bool ) @ bool @ ( hAPP @ ( fun @ SV56 @ SV159 ) @ ( fun @ ( fun @ SV56 @ bool ) @ bool ) @ ( inj_on @ SV56 @ SV159 ) @ SY887 ) @ SY888 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV56 @ bool ) @ bool @ ( hAPP @ SV56 @ ( fun @ ( fun @ SV56 @ bool ) @ bool ) @ ( member @ SV56 ) @ SV215 ) @ SY888 ) )
| ( ( hAPP @ SV159 @ SV56 @ ( hAPP @ ( fun @ SV56 @ SV159 ) @ ( fun @ SV159 @ SV56 ) @ ( hAPP @ ( fun @ SV56 @ bool ) @ ( fun @ ( fun @ SV56 @ SV159 ) @ ( fun @ SV159 @ SV56 ) ) @ ( hilbert_inv_into @ SV56 @ SV159 ) @ SY888 ) @ SY887 ) @ ( hAPP @ SV56 @ SV159 @ SY887 @ SV215 ) )
= ( ti @ SV56 @ SV215 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[759]) ).
thf(858,plain,
! [SV57: $i] :
( ( ( ord @ SV57 )
= $false )
| ( ( ! [SY523: $i,SY524: $i,SY525: $i] :
( ( SY524 != SY525 )
| ~ ( hBOOL @ ( hAPP @ SV57 @ bool @ ( hAPP @ SV57 @ ( fun @ SV57 @ bool ) @ ( ord_less @ SV57 ) @ SY525 ) @ SY523 ) )
| ( hBOOL @ ( hAPP @ SV57 @ bool @ ( hAPP @ SV57 @ ( fun @ SV57 @ bool ) @ ( ord_less @ SV57 ) @ SY524 ) @ SY523 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[760]) ).
thf(859,plain,
! [SV58: $i] :
( ( ( preorder @ SV58 )
= $false )
| ( ( ! [SY526: $i] :
~ ( hBOOL @ ( hAPP @ SV58 @ bool @ ( hAPP @ SV58 @ ( fun @ SV58 @ bool ) @ ( ord_less @ SV58 ) @ SY526 ) @ SY526 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[761]) ).
thf(860,plain,
! [SV59: $i,SV160: $i,SV216: $i] :
( ( ! [SY889: $i] :
( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV216 )
!= ( ti @ arrow_1212486748le_alt @ SY889 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV160 ) @ arrow_1834574746e_Prof ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV59 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY890: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SY889 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ SY890 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY889 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ SY890 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY889 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ SY890 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SY889 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ SY890 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SY889 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY889 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY889 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SY889 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[762]) ).
thf(861,plain,
! [SV60: $i] :
( ( ( preorder @ SV60 )
= $false )
| ( ( ! [SY531: $i,SY532: $i] :
( ~ ( hBOOL @ ( hAPP @ SV60 @ bool @ ( hAPP @ SV60 @ ( fun @ SV60 @ bool ) @ ( ord_less @ SV60 ) @ SY531 ) @ SY532 ) )
| ~ ( hBOOL @ ( hAPP @ SV60 @ bool @ ( hAPP @ SV60 @ ( fun @ SV60 @ bool ) @ ( ord_less @ SV60 ) @ SY532 ) @ SY531 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[763]) ).
thf(862,plain,
! [SV61: $i] :
( ( ( order @ SV61 )
= $false )
| ( ( ! [SY533: $i,SY534: $i] :
( ~ ( hBOOL @ ( hAPP @ SV61 @ bool @ ( hAPP @ SV61 @ ( fun @ SV61 @ bool ) @ ( ord_less @ SV61 ) @ SY533 ) @ SY534 ) )
| ~ ( hBOOL @ ( hAPP @ SV61 @ bool @ ( hAPP @ SV61 @ ( fun @ SV61 @ bool ) @ ( ord_less @ SV61 ) @ SY534 ) @ SY533 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[764]) ).
thf(863,plain,
! [SV217: $i,SV161: $i,SV62: $i] :
( ( ! [SY891: $i,SY892: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV62 @ bool ) @ bool @ ( hAPP @ ( fun @ SV62 @ SV161 ) @ ( fun @ ( fun @ SV62 @ bool ) @ bool ) @ ( inj_on @ SV62 @ SV161 ) @ SY892 ) @ ( top_top @ ( fun @ SV62 @ bool ) ) ) )
| ( ( hAPP @ SV62 @ SV161 @ SY892 @ SV217 )
!= ( ti @ SV161 @ SY891 ) )
| ( ( hAPP @ SV161 @ SV62 @ ( hAPP @ ( fun @ SV62 @ SV161 ) @ ( fun @ SV161 @ SV62 ) @ ( hAPP @ ( fun @ SV62 @ bool ) @ ( fun @ ( fun @ SV62 @ SV161 ) @ ( fun @ SV161 @ SV62 ) ) @ ( hilbert_inv_into @ SV62 @ SV161 ) @ ( top_top @ ( fun @ SV62 @ bool ) ) ) @ SY892 ) @ SY891 )
= ( ti @ SV62 @ SV217 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[765]) ).
thf(864,plain,
! [SV63: $i,SV162: $i] :
( ( ( ~ ( top @ SV162 ) )
= $true )
| ( ( ! [SY773: $i] :
( ( hAPP @ SV63 @ SV162 @ ( top_top @ ( fun @ SV63 @ SV162 ) ) @ SY773 )
= ( top_top @ SV162 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[766]) ).
thf(865,plain,
! [SV64: $i] :
( ( ( preorder @ SV64 )
= $false )
| ( ( ! [SY541: $i,SY542: $i,SY543: $i] :
( ~ ( hBOOL @ ( hAPP @ SV64 @ bool @ ( hAPP @ SV64 @ ( fun @ SV64 @ bool ) @ ( ord_less @ SV64 ) @ SY542 ) @ SY543 ) )
| ~ ( hBOOL @ ( hAPP @ SV64 @ bool @ ( hAPP @ SV64 @ ( fun @ SV64 @ bool ) @ ( ord_less @ SV64 ) @ SY543 ) @ SY541 ) )
| ( hBOOL @ ( hAPP @ SV64 @ bool @ ( hAPP @ SV64 @ ( fun @ SV64 @ bool ) @ ( ord_less @ SV64 ) @ SY542 ) @ SY541 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[767]) ).
thf(866,plain,
! [SV218: $i,SV163: $i,SV65: $i] :
( ( ! [SY893: $i,SY894: $i,SY895: $i] :
( ( ( hAPP @ SV65 @ ( product_prod @ SV163 @ SV65 ) @ ( hAPP @ SV163 @ ( fun @ SV65 @ ( product_prod @ SV163 @ SV65 ) ) @ ( product_Pair @ SV163 @ SV65 ) @ SV218 ) @ SY893 )
!= ( hAPP @ SV65 @ ( product_prod @ SV163 @ SV65 ) @ ( hAPP @ SV163 @ ( fun @ SV65 @ ( product_prod @ SV163 @ SV65 ) ) @ ( product_Pair @ SV163 @ SV65 ) @ SY894 ) @ SY895 ) )
| ~ ( ( ( ti @ SV163 @ SV218 )
!= ( ti @ SV163 @ SY894 ) )
| ( ( ti @ SV65 @ SY893 )
!= ( ti @ SV65 @ SY895 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[768]) ).
thf(867,plain,
! [SV66: $i,SV164: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV164 ) @ arrow_638930832le_Lin ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ SV164 ) @ SV66 ) ) @ arrow_638930832le_Lin ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[769]) ).
thf(868,plain,
! [SV67: $i] :
( ( ( linorder @ SV67 )
= $false )
| ( ( ! [SY550: $i,SY551: $i] :
~ ( ~ ( ~ ( ( ( ti @ SV67 @ SY550 )
!= ( ti @ SV67 @ SY551 ) ) )
| ( hBOOL @ ( hAPP @ SV67 @ bool @ ( hAPP @ SV67 @ ( fun @ SV67 @ bool ) @ ( ord_less @ SV67 ) @ SY550 ) @ SY551 ) )
| ( hBOOL @ ( hAPP @ SV67 @ bool @ ( hAPP @ SV67 @ ( fun @ SV67 @ bool ) @ ( ord_less @ SV67 ) @ SY551 ) @ SY550 ) ) )
| ~ ( ~ ( ( hBOOL @ ( hAPP @ SV67 @ bool @ ( hAPP @ SV67 @ ( fun @ SV67 @ bool ) @ ( ord_less @ SV67 ) @ SY550 ) @ SY551 ) )
| ( hBOOL @ ( hAPP @ SV67 @ bool @ ( hAPP @ SV67 @ ( fun @ SV67 @ bool ) @ ( ord_less @ SV67 ) @ SY551 ) @ SY550 ) ) )
| ( ( ti @ SV67 @ SY550 )
!= ( ti @ SV67 @ SY551 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[770]) ).
thf(869,plain,
! [SV68: $i] :
( ( ( order @ SV68 )
= $false )
| ( ( ! [SY552: $i,SY553: $i,SY554: $i] :
( ~ ( hBOOL @ ( hAPP @ SV68 @ bool @ ( hAPP @ SV68 @ ( fun @ SV68 @ bool ) @ ( ord_less @ SV68 ) @ SY553 ) @ SY554 ) )
| ( SY553 != SY552 )
| ( hBOOL @ ( hAPP @ SV68 @ bool @ ( hAPP @ SV68 @ ( fun @ SV68 @ bool ) @ ( ord_less @ SV68 ) @ SY552 ) @ SY554 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[771]) ).
thf(870,plain,
! [SV219: $i,SV165: $i,SV69: $i] :
( ( ! [SY896: $i,SY897: $i,SY898: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV69 @ bool ) @ bool @ ( hAPP @ ( fun @ SV69 @ SV165 ) @ ( fun @ ( fun @ SV69 @ bool ) @ bool ) @ ( inj_on @ SV69 @ SV165 ) @ SY897 ) @ SY898 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV69 @ bool ) @ bool @ ( hAPP @ SV69 @ ( fun @ ( fun @ SV69 @ bool ) @ bool ) @ ( member @ SV69 ) @ SY896 ) @ SY898 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV69 @ bool ) @ bool @ ( hAPP @ SV69 @ ( fun @ ( fun @ SV69 @ bool ) @ bool ) @ ( member @ SV69 ) @ SV219 ) @ SY898 ) )
| ~ ( ~ ( ( ( hAPP @ SV69 @ SV165 @ SY897 @ SY896 )
!= ( hAPP @ SV69 @ SV165 @ SY897 @ SV219 ) )
| ( ( ti @ SV69 @ SY896 )
= ( ti @ SV69 @ SV219 ) ) )
| ~ ( ( ( ti @ SV69 @ SY896 )
!= ( ti @ SV69 @ SV219 ) )
| ( ( hAPP @ SV69 @ SV165 @ SY897 @ SY896 )
= ( hAPP @ SV69 @ SV165 @ SY897 @ SV219 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[772]) ).
thf(871,plain,
! [SV166: $i,SV70: $i] :
( ( ~ ( ~ ( hBOOL @ ( hAPP @ arrow_1384031255e_indi @ bool @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ bool ) @ arrow_1990387629ctator @ SV70 ) @ SV166 ) )
| ! [SY782: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SY782 ) @ arrow_1834574746e_Prof ) )
| ( ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV70 @ SY782 )
= ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY782 @ SV166 ) ) ) )
| ~ ( ~ ! [SY783: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SY783 ) @ arrow_1834574746e_Prof ) )
| ( ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV70 @ SY783 )
= ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY783 @ SV166 ) ) )
| ( hBOOL @ ( hAPP @ arrow_1384031255e_indi @ bool @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ bool ) @ arrow_1990387629ctator @ SV70 ) @ SV166 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[773]) ).
thf(872,plain,
! [SV71: $i] :
( ( ( linorder @ SV71 )
= $false )
| ( ( ! [SY563: $i,SY564: $i] :
( ~ ( ( ( ti @ SV71 @ SY563 )
!= ( ti @ SV71 @ SY564 ) ) )
| ~ ~ ( hBOOL @ ( hAPP @ SV71 @ bool @ ( hAPP @ SV71 @ ( fun @ SV71 @ bool ) @ ( ord_less @ SV71 ) @ SY563 ) @ SY564 ) )
| ( hBOOL @ ( hAPP @ SV71 @ bool @ ( hAPP @ SV71 @ ( fun @ SV71 @ bool ) @ ( ord_less @ SV71 ) @ SY564 ) @ SY563 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[774]) ).
thf(873,plain,
! [SV72: $i] :
( ( ( order @ SV72 )
= $false )
| ( ( ! [SY565: $i,SY566: $i] :
( ~ ( hBOOL @ ( hAPP @ SV72 @ bool @ ( hAPP @ SV72 @ ( fun @ SV72 @ bool ) @ ( ord_less @ SV72 ) @ SY565 ) @ SY566 ) )
| ( SY566 != SY565 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[775]) ).
thf(874,plain,
! [SV73: $i] :
( ( ( top @ SV73 )
= $false )
| ( ( ! [SY567: $i] :
~ ( hBOOL @ ( hAPP @ SV73 @ bool @ ( hAPP @ SV73 @ ( fun @ SV73 @ bool ) @ ( ord_less @ SV73 ) @ ( top_top @ SV73 ) ) @ SY567 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[776]) ).
thf(875,plain,
! [SV74: $i] :
( ( ( preorder @ SV74 )
= $false )
| ( ( ! [SY568: $i,SY569: $i] :
( ~ ( hBOOL @ ( hAPP @ SV74 @ bool @ ( hAPP @ SV74 @ ( fun @ SV74 @ bool ) @ ( ord_less @ SV74 ) @ SY568 ) @ SY569 ) )
| ~ ( hBOOL @ ( hAPP @ SV74 @ bool @ ( hAPP @ SV74 @ ( fun @ SV74 @ bool ) @ ( ord_less @ SV74 ) @ SY569 ) @ SY568 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[777]) ).
thf(876,plain,
! [SV75: $i] :
( ( ~ ( ~ ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[778]) ).
thf(877,plain,
! [SV75: $i] :
( ( ~ ( ~ ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[778]) ).
thf(878,plain,
( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( ord_less @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_992993526_mktop ) @ p ) ) @ e ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( fequal @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ arrow_1726925404_above ) @ p ) ) @ c ) ) @ e ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_844286440_mkbot ) @ p ) ) @ e ) ) ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combc @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( ord_less @ nat ) ) @ h ) ) @ n ) ) ) @ lab ) ) @ lba ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[779]) ).
thf(879,plain,
( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combc @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( ord_less @ nat ) ) @ h ) ) @ n ) ) ) @ lab ) ) @ lba ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( ord_less @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_992993526_mktop ) @ p ) ) @ e ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( fequal @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ arrow_1726925404_above ) @ p ) ) @ c ) ) @ e ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_844286440_mkbot ) @ p ) ) @ e ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[780]) ).
thf(880,plain,
! [SV220: $i,SV167: $i,SV76: $i] :
( ( ( ( ti @ SV76 @ SV167 )
!= ( ti @ SV76 @ SV220 ) )
| ( hBOOL @ ( hAPP @ SV76 @ bool @ ( hAPP @ SV76 @ ( fun @ SV76 @ bool ) @ ( fequal @ SV76 ) @ SV167 ) @ SV220 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[781]) ).
thf(881,plain,
! [SV221: $i,SV168: $i,SV77: $i] :
( ( ! [SY899: $i,SY900: $i,SY901: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV77 @ bool ) @ bool @ ( hAPP @ ( fun @ SV77 @ SV168 ) @ ( fun @ ( fun @ SV77 @ bool ) @ bool ) @ ( inj_on @ SV77 @ SV168 ) @ SY900 ) @ SY901 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV77 @ bool ) @ bool @ ( hAPP @ SV77 @ ( fun @ ( fun @ SV77 @ bool ) @ bool ) @ ( member @ SV77 ) @ SY899 ) @ SY901 ) )
| ( ( hAPP @ SV77 @ SV168 @ SY900 @ SY899 )
!= ( ti @ SV168 @ SV221 ) )
| ( ( hAPP @ SV168 @ SV77 @ ( hAPP @ ( fun @ SV77 @ SV168 ) @ ( fun @ SV168 @ SV77 ) @ ( hAPP @ ( fun @ SV77 @ bool ) @ ( fun @ ( fun @ SV77 @ SV168 ) @ ( fun @ SV168 @ SV77 ) ) @ ( hilbert_inv_into @ SV77 @ SV168 ) @ SY901 ) @ SY900 ) @ SV221 )
= ( ti @ SV77 @ SY899 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[782]) ).
thf(882,plain,
! [SV222: $i,SV169: $i,SV78: $i] :
( ( ~ ! [SY902: $i,SY903: $i] :
( ( ( hAPP @ SV78 @ SV169 @ SV222 @ SY902 )
!= ( hAPP @ SV78 @ SV169 @ SV222 @ SY903 ) )
| ( ( ti @ SV78 @ SY902 )
= ( ti @ SV78 @ SY903 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ SV78 @ bool ) @ bool @ ( hAPP @ ( fun @ SV78 @ SV169 ) @ ( fun @ ( fun @ SV78 @ bool ) @ bool ) @ ( inj_on @ SV78 @ SV169 ) @ SV222 ) @ ( top_top @ ( fun @ SV78 @ bool ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[783]) ).
thf(883,plain,
! [SV223: $i,SV170: $i,SV79: $i] :
( ( ! [SY904: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV79 @ bool ) @ bool @ ( hAPP @ ( fun @ SV79 @ SV170 ) @ ( fun @ ( fun @ SV79 @ bool ) @ bool ) @ ( inj_on @ SV79 @ SV170 ) @ SY904 ) @ ( top_top @ ( fun @ SV79 @ bool ) ) ) )
| ~ ! [SY905: $i] :
( ( hAPP @ SV79 @ SV170 @ SY904 @ ( hAPP @ SV170 @ SV79 @ SV223 @ SY905 ) )
= ( ti @ SV170 @ SY905 ) )
| ( ( hAPP @ ( fun @ SV79 @ SV170 ) @ ( fun @ SV170 @ SV79 ) @ ( hAPP @ ( fun @ SV79 @ bool ) @ ( fun @ ( fun @ SV79 @ SV170 ) @ ( fun @ SV170 @ SV79 ) ) @ ( hilbert_inv_into @ SV79 @ SV170 ) @ ( top_top @ ( fun @ SV79 @ bool ) ) ) @ SY904 )
= ( ti @ ( fun @ SV170 @ SV79 ) @ SV223 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[784]) ).
thf(884,plain,
! [SV80: $i,SV224: $i,SV171: $i] :
( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV171 )
!= ( ti @ arrow_1212486748le_alt @ SV224 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV80 ) @ arrow_638930832le_Lin ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV80 ) @ SV171 ) @ SV224 ) ) @ arrow_638930832le_Lin ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[785]) ).
thf(885,plain,
! [SV225: $i,SV172: $i,SV81: $i] :
( ( ! [SY906: $i,SY907: $i,SY908: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV81 @ bool ) @ bool @ ( hAPP @ ( fun @ SV81 @ SV172 ) @ ( fun @ ( fun @ SV81 @ bool ) @ bool ) @ ( inj_on @ SV81 @ SV172 ) @ SY907 ) @ SY908 ) )
| ~ ( ( ( ti @ SV81 @ SV225 )
!= ( ti @ SV81 @ SY906 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV81 @ bool ) @ bool @ ( hAPP @ SV81 @ ( fun @ ( fun @ SV81 @ bool ) @ bool ) @ ( member @ SV81 ) @ SV225 ) @ SY908 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV81 @ bool ) @ bool @ ( hAPP @ SV81 @ ( fun @ ( fun @ SV81 @ bool ) @ bool ) @ ( member @ SV81 ) @ SY906 ) @ SY908 ) )
| ( ( hAPP @ SV81 @ SV172 @ SY907 @ SV225 )
!= ( hAPP @ SV81 @ SV172 @ SY907 @ SY906 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[786]) ).
thf(886,plain,
! [SV226: $i,SV173: $i,SV82: $i] :
( ( ! [SY909: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ SV226 ) @ SY909 ) ) )
| ~ ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV173 )
!= ( ti @ arrow_1212486748le_alt @ SY909 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SY909 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV173 ) ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SY909 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ SV226 ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV173 )
!= ( ti @ arrow_1212486748le_alt @ SY909 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SY909 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV173 ) ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SY909 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ SV226 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ SV226 ) @ SY909 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[787]) ).
thf(887,plain,
! [SV174: $i,SV83: $i,SV227: $i] :
( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV227 ) @ arrow_638930832le_Lin ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV83 ) @ SV174 ) ) @ SV227 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV174 ) @ SV83 ) ) @ SV227 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[788]) ).
thf(888,plain,
! [SV84: $i,SV175: $i,SV228: $i] :
( ( ! [SY910: $i,SY911: $i,SY912: $i] :
( ~ ( ( ( ti @ arrow_1212486748le_alt @ SY911 )
!= ( ti @ arrow_1212486748le_alt @ SY912 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV228 )
!= ( ti @ arrow_1212486748le_alt @ SY910 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SY911 )
!= ( ti @ arrow_1212486748le_alt @ SY910 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SY912 )
!= ( ti @ arrow_1212486748le_alt @ SV228 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV175 ) @ arrow_1834574746e_Prof ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV84 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY913: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY911 ) @ SY912 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ SY913 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SY910 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ SY913 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SY910 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ SY913 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY911 ) @ SY912 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ SY913 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY911 ) @ SY912 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SY910 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SY910 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY911 ) @ SY912 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[789]) ).
thf(889,plain,
! [SV85: $i] :
( ( ( ord @ SV85 )
= $false )
| ( ( ! [SY603: $i,SY604: $i,SY605: $i] :
( ~ ( hBOOL @ ( hAPP @ SV85 @ bool @ ( hAPP @ SV85 @ ( fun @ SV85 @ bool ) @ ( ord_less @ SV85 ) @ SY604 ) @ SY605 ) )
| ( SY605 != SY603 )
| ( hBOOL @ ( hAPP @ SV85 @ bool @ ( hAPP @ SV85 @ ( fun @ SV85 @ bool ) @ ( ord_less @ SV85 ) @ SY604 ) @ SY603 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[790]) ).
thf(890,plain,
! [SV86: $i,SV176: $i] :
( ( ( ~ ( order @ SV176 ) )
= $true )
| ( ( order @ ( fun @ SV86 @ SV176 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[791]) ).
thf(891,plain,
! [SV87: $i] :
( ( ( order @ SV87 )
= $false )
| ( ( ! [SY607: $i,SY608: $i,SY609: $i] :
( ( SY608 != SY609 )
| ~ ( hBOOL @ ( hAPP @ SV87 @ bool @ ( hAPP @ SV87 @ ( fun @ SV87 @ bool ) @ ( ord_less @ SV87 ) @ SY607 ) @ SY609 ) )
| ( hBOOL @ ( hAPP @ SV87 @ bool @ ( hAPP @ SV87 @ ( fun @ SV87 @ bool ) @ ( ord_less @ SV87 ) @ SY607 ) @ SY608 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[792]) ).
thf(892,plain,
! [SV88: $i] :
( ( ( linorder @ SV88 )
= $false )
| ( ( ! [SY610: $i,SY611: $i] :
( ~ ~ ( hBOOL @ ( hAPP @ SV88 @ bool @ ( hAPP @ SV88 @ ( fun @ SV88 @ bool ) @ ( ord_less @ SV88 ) @ SY610 ) @ SY611 ) )
| ~ ( ( ( ti @ SV88 @ SY610 )
!= ( ti @ SV88 @ SY611 ) ) )
| ( hBOOL @ ( hAPP @ SV88 @ bool @ ( hAPP @ SV88 @ ( fun @ SV88 @ bool ) @ ( ord_less @ SV88 ) @ SY611 ) @ SY610 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[793]) ).
thf(893,plain,
! [SV89: $i] :
( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
| ! [SY612: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SY612 ) @ arrow_1834574746e_Prof ) )
| ! [SY613: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SY613 ) @ arrow_1834574746e_Prof ) )
| ! [SY614: $i,SY615: $i] :
( ~ ! [SX5: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY614 ) @ SY615 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY612 @ SX5 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY614 ) @ SY615 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY613 @ SX5 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY614 ) @ SY615 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY613 @ SX5 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY614 ) @ SY615 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY612 @ SX5 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY614 ) @ SY615 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SY612 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY614 ) @ SY615 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SY613 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY614 ) @ SY615 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SY613 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY614 ) @ SY615 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SY612 ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[794]) ).
thf(894,plain,
! [SV89: $i] :
( ( ~ ( ~ ! [SY617: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SY617 ) @ arrow_1834574746e_Prof ) )
| ! [SY618: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SY618 ) @ arrow_1834574746e_Prof ) )
| ! [SY619: $i,SY620: $i] :
( ~ ! [SX5: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY619 ) @ SY620 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY617 @ SX5 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY619 ) @ SY620 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY618 @ SX5 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY619 ) @ SY620 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY618 @ SX5 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY619 ) @ SY620 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY617 @ SX5 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY619 ) @ SY620 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SY617 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY619 ) @ SY620 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SY618 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY619 ) @ SY620 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SY618 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY619 ) @ SY620 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SY617 ) ) ) ) ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[794]) ).
thf(895,plain,
! [SV229: $i,SV177: $i,SV90: $i] :
( ( ~ ( ~ ( ~ ! [SY914: $i] : ( hBOOL @ ( hAPP @ ( product_prod @ SV90 @ SV177 ) @ bool @ SV229 @ SY914 ) )
| ! [SY915: $i,SY916: $i] : ( hBOOL @ ( hAPP @ ( product_prod @ SV90 @ SV177 ) @ bool @ SV229 @ ( hAPP @ SV177 @ ( product_prod @ SV90 @ SV177 ) @ ( hAPP @ SV90 @ ( fun @ SV177 @ ( product_prod @ SV90 @ SV177 ) ) @ ( product_Pair @ SV90 @ SV177 ) @ SY915 ) @ SY916 ) ) ) )
| ~ ( ~ ! [SY917: $i,SY918: $i] : ( hBOOL @ ( hAPP @ ( product_prod @ SV90 @ SV177 ) @ bool @ SV229 @ ( hAPP @ SV177 @ ( product_prod @ SV90 @ SV177 ) @ ( hAPP @ SV90 @ ( fun @ SV177 @ ( product_prod @ SV90 @ SV177 ) ) @ ( product_Pair @ SV90 @ SV177 ) @ SY917 ) @ SY918 ) ) )
| ! [SY919: $i] : ( hBOOL @ ( hAPP @ ( product_prod @ SV90 @ SV177 ) @ bool @ SV229 @ SY919 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[795]) ).
thf(896,plain,
! [SV91: $i] :
( ( ( top @ SV91 )
= $false )
| ( ( ( ti @ SV91 @ ( top_top @ SV91 ) )
= ( top_top @ SV91 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[796]) ).
thf(897,plain,
! [SV92: $i,SV178: $i] :
( ( ( ~ ( ord @ SV178 ) )
= $true )
| ( ( ord @ ( fun @ SV92 @ SV178 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[797]) ).
thf(898,plain,
! [SV230: $i,SV179: $i,SV93: $i] :
( ( ! [SY920: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ ( fun @ SV93 @ SV179 ) @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( inj_on @ SV93 @ SV179 ) @ SV230 ) @ SY920 ) )
| ! [SY921: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ SV93 @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( member @ SV93 ) @ SY921 ) @ SY920 ) )
| ! [SY922: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ SV93 @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( member @ SV93 ) @ SY922 ) @ SY920 ) )
| ( ( hAPP @ SV93 @ SV179 @ SV230 @ SY921 )
!= ( hAPP @ SV93 @ SV179 @ SV230 @ SY922 ) )
| ( ( ti @ SV93 @ SY921 )
= ( ti @ SV93 @ SY922 ) ) ) ) )
| ~ ( ~ ! [SY923: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ SV93 @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( member @ SV93 ) @ SY923 ) @ SY920 ) )
| ! [SY924: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ SV93 @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( member @ SV93 ) @ SY924 ) @ SY920 ) )
| ( ( hAPP @ SV93 @ SV179 @ SV230 @ SY923 )
!= ( hAPP @ SV93 @ SV179 @ SV230 @ SY924 ) )
| ( ( ti @ SV93 @ SY923 )
= ( ti @ SV93 @ SY924 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ ( fun @ SV93 @ SV179 ) @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( inj_on @ SV93 @ SV179 ) @ SV230 ) @ SY920 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[798]) ).
thf(899,plain,
( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ p ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( ord_less @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_992993526_mktop ) @ p ) ) @ e ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( fequal @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ arrow_1726925404_above ) @ p ) ) @ c ) ) @ e ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_844286440_mkbot ) @ p ) ) @ e ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[799]) ).
thf(900,plain,
( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( ord_less @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_992993526_mktop ) @ p ) ) @ e ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( fequal @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ arrow_1726925404_above ) @ p ) ) @ c ) ) @ e ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_844286440_mkbot ) @ p ) ) @ e ) ) ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ p ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[800]) ).
thf(901,plain,
! [SV94: $i] :
( ( ( order @ SV94 )
= $false )
| ( ( ! [SY638: $i,SY639: $i,SY640: $i] :
( ~ ( hBOOL @ ( hAPP @ SV94 @ bool @ ( hAPP @ SV94 @ ( fun @ SV94 @ bool ) @ ( ord_less @ SV94 ) @ SY639 ) @ SY640 ) )
| ~ ( hBOOL @ ( hAPP @ SV94 @ bool @ ( hAPP @ SV94 @ ( fun @ SV94 @ bool ) @ ( ord_less @ SV94 ) @ SY638 ) @ SY639 ) )
| ( hBOOL @ ( hAPP @ SV94 @ bool @ ( hAPP @ SV94 @ ( fun @ SV94 @ bool ) @ ( ord_less @ SV94 ) @ SY638 ) @ SY640 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[801]) ).
thf(902,plain,
! [SV95: $i] :
( ( ( ord @ SV95 )
= $false )
| ( ( ( ti @ ( fun @ SV95 @ ( fun @ SV95 @ bool ) ) @ ( ord_less @ SV95 ) )
= ( ord_less @ SV95 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[802]) ).
thf(903,plain,
! [SV231: $i,SV180: $i,SV96: $i] :
( ( ! [SY925: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV96 @ bool ) @ bool @ ( hAPP @ ( fun @ SV96 @ SV180 ) @ ( fun @ ( fun @ SV96 @ bool ) @ bool ) @ ( inj_on @ SV96 @ SV180 ) @ SY925 ) @ ( top_top @ ( fun @ SV96 @ bool ) ) ) )
| ( ( hAPP @ SV180 @ SV96 @ ( hAPP @ ( fun @ SV96 @ SV180 ) @ ( fun @ SV180 @ SV96 ) @ ( hAPP @ ( fun @ SV96 @ bool ) @ ( fun @ ( fun @ SV96 @ SV180 ) @ ( fun @ SV180 @ SV96 ) ) @ ( hilbert_inv_into @ SV96 @ SV180 ) @ ( top_top @ ( fun @ SV96 @ bool ) ) ) @ SY925 ) @ ( hAPP @ SV96 @ SV180 @ SY925 @ SV231 ) )
= ( ti @ SV96 @ SV231 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[803]) ).
thf(904,plain,
! [SV181: $i,SV97: $i,SV232: $i] :
( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV232 ) @ arrow_638930832le_Lin ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV97 )
!= ( ti @ arrow_1212486748le_alt @ SV181 ) ) )
| ~ ( ~ ( ~ ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV97 ) @ SV181 ) ) @ SV232 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV181 ) @ SV97 ) ) @ SV232 ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV181 ) @ SV97 ) ) @ SV232 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV97 ) @ SV181 ) ) @ SV232 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[804]) ).
thf(905,plain,
! [SV98: $i] :
( ( ( linorder @ SV98 )
= $false )
| ( ( ! [SY646: $i,SY647: $i] :
( ~ ~ ( hBOOL @ ( hAPP @ SV98 @ bool @ ( hAPP @ SV98 @ ( fun @ SV98 @ bool ) @ ( ord_less @ SV98 ) @ SY646 ) @ SY647 ) )
| ~ ( ~ ( ~ ~ ( hBOOL @ ( hAPP @ SV98 @ bool @ ( hAPP @ SV98 @ ( fun @ SV98 @ bool ) @ ( ord_less @ SV98 ) @ SY647 ) @ SY646 ) )
| ( ( ti @ SV98 @ SY647 )
= ( ti @ SV98 @ SY646 ) ) )
| ~ ( ( ( ti @ SV98 @ SY647 )
!= ( ti @ SV98 @ SY646 ) )
| ~ ( hBOOL @ ( hAPP @ SV98 @ bool @ ( hAPP @ SV98 @ ( fun @ SV98 @ bool ) @ ( ord_less @ SV98 ) @ SY647 ) @ SY646 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[805]) ).
thf(906,plain,
! [SV233: $i,SV182: $i,SV99: $i] :
( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV99 @ bool ) @ bool @ ( hAPP @ SV99 @ ( fun @ ( fun @ SV99 @ bool ) @ bool ) @ ( member @ SV99 ) @ SV182 ) @ SV233 ) )
| ( hBOOL @ ( hAPP @ SV99 @ bool @ SV233 @ SV182 ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ SV99 @ bool @ SV233 @ SV182 ) )
| ( hBOOL @ ( hAPP @ ( fun @ SV99 @ bool ) @ bool @ ( hAPP @ SV99 @ ( fun @ ( fun @ SV99 @ bool ) @ bool ) @ ( member @ SV99 ) @ SV182 ) @ SV233 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[806]) ).
thf(907,plain,
! [SV100: $i] :
( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[807]) ).
thf(908,plain,
! [SV100: $i] :
( ( ~ ( ~ ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) ) ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[807]) ).
thf(909,plain,
! [SV234: $i,SV183: $i,SV101: $i] :
( ( ! [SY926: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ SV234 ) @ SY926 ) ) )
| ~ ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV101 )
!= ( ti @ arrow_1212486748le_alt @ SY926 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
!= ( ti @ arrow_1212486748le_alt @ SY926 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV101 )
!= ( ti @ arrow_1212486748le_alt @ SV183 ) ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
!= ( ti @ arrow_1212486748le_alt @ SY926 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ SV234 ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV101 )
!= ( ti @ arrow_1212486748le_alt @ SY926 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
!= ( ti @ arrow_1212486748le_alt @ SY926 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV101 )
!= ( ti @ arrow_1212486748le_alt @ SV183 ) ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
!= ( ti @ arrow_1212486748le_alt @ SY926 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ SV234 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ SV234 ) @ SY926 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[808]) ).
thf(910,plain,
! [SV102: $i] :
( ( ( preorder @ SV102 )
= $false )
| ( ( ! [SY653: $i,SY654: $i] :
( ~ ( hBOOL @ ( hAPP @ SV102 @ bool @ ( hAPP @ SV102 @ ( fun @ SV102 @ bool ) @ ( ord_less @ SV102 ) @ SY653 ) @ SY654 ) )
| ~ ( hBOOL @ ( hAPP @ SV102 @ bool @ ( hAPP @ SV102 @ ( fun @ SV102 @ bool ) @ ( ord_less @ SV102 ) @ SY654 ) @ SY653 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[809]) ).
thf(911,plain,
! [SV103: $i] :
( ( ( linorder @ SV103 )
= $false )
| ( ( ! [SY655: $i,SY656: $i] :
~ ( ~ ( ~ ~ ( hBOOL @ ( hAPP @ SV103 @ bool @ ( hAPP @ SV103 @ ( fun @ SV103 @ bool ) @ ( ord_less @ SV103 ) @ SY655 ) @ SY656 ) )
| ( hBOOL @ ( hAPP @ SV103 @ bool @ ( hAPP @ SV103 @ ( fun @ SV103 @ bool ) @ ( ord_less @ SV103 ) @ SY656 ) @ SY655 ) )
| ( ( ti @ SV103 @ SY655 )
= ( ti @ SV103 @ SY656 ) ) )
| ~ ( ~ ( ( hBOOL @ ( hAPP @ SV103 @ bool @ ( hAPP @ SV103 @ ( fun @ SV103 @ bool ) @ ( ord_less @ SV103 ) @ SY656 ) @ SY655 ) )
| ( ( ti @ SV103 @ SY655 )
= ( ti @ SV103 @ SY656 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV103 @ bool @ ( hAPP @ SV103 @ ( fun @ SV103 @ bool ) @ ( ord_less @ SV103 ) @ SY655 ) @ SY656 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[810]) ).
thf(912,plain,
! [SV104: $i,SV184: $i,SV235: $i] :
( ( ! [SY927: $i,SY928: $i,SY929: $i] :
( ~ ( ( ( ti @ arrow_1212486748le_alt @ SY928 )
!= ( ti @ arrow_1212486748le_alt @ SY929 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV235 )
!= ( ti @ arrow_1212486748le_alt @ SY927 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SY928 )
!= ( ti @ arrow_1212486748le_alt @ SY927 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SY929 )
!= ( ti @ arrow_1212486748le_alt @ SV235 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV184 ) @ arrow_1834574746e_Prof ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV104 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY930: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY928 ) @ SY929 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV184 @ SY930 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SY927 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV104 @ SY930 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SY927 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV104 @ SY930 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY928 ) @ SY929 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV184 @ SY930 ) ) ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY928 ) @ SY929 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV184 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SY927 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV104 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[811]) ).
thf(913,plain,
! [SV105: $i] :
( ( ( order @ SV105 )
= $false )
| ( ( ! [SY663: $i,SY664: $i] :
( ~ ( hBOOL @ ( hAPP @ SV105 @ bool @ ( hAPP @ SV105 @ ( fun @ SV105 @ bool ) @ ( ord_less @ SV105 ) @ SY663 ) @ SY664 ) )
| ( SY663 != SY664 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[812]) ).
thf(914,plain,
! [SV106: $i,SV185: $i,SV236: $i] :
( ( ! [SY931: $i,SY932: $i] :
( ~ ( ( ( ti @ arrow_1212486748le_alt @ SY931 )
!= ( ti @ arrow_1212486748le_alt @ SY932 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SY932 )
!= ( ti @ arrow_1212486748le_alt @ SV236 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SY931 )
!= ( ti @ arrow_1212486748le_alt @ SV236 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV185 ) @ arrow_1834574746e_Prof ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV106 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY933: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY931 ) @ SY932 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ SY933 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY932 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ SY933 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY932 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ SY933 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY931 ) @ SY932 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ SY933 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY931 ) @ SY932 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY932 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY932 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY931 ) @ SY932 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[813]) ).
thf(915,plain,
! [SV107: $i] :
( ( ( linorder @ SV107 )
= $false )
| ( ( ! [SY670: $i,SY671: $i] :
( ( hBOOL @ ( hAPP @ SV107 @ bool @ ( hAPP @ SV107 @ ( fun @ SV107 @ bool ) @ ( ord_less @ SV107 ) @ SY670 ) @ SY671 ) )
| ( ( ti @ SV107 @ SY670 )
= ( ti @ SV107 @ SY671 ) )
| ( hBOOL @ ( hAPP @ SV107 @ bool @ ( hAPP @ SV107 @ ( fun @ SV107 @ bool ) @ ( ord_less @ SV107 ) @ SY671 ) @ SY670 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[814]) ).
thf(916,plain,
! [SV108: $i,SV186: $i] :
( ( ( ~ ( preorder @ SV186 ) )
= $true )
| ( ( preorder @ ( fun @ SV108 @ SV186 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[815]) ).
thf(917,plain,
! [SV237: $i,SV187: $i,SV109: $i] :
( ( ! [SY934: $i,SY935: $i,SY936: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV109 @ bool ) @ bool @ ( hAPP @ ( fun @ SV109 @ SV187 ) @ ( fun @ ( fun @ SV109 @ bool ) @ bool ) @ ( inj_on @ SV109 @ SV187 ) @ SY935 ) @ SY936 ) )
| ( ( hAPP @ SV109 @ SV187 @ SY935 @ SV237 )
!= ( hAPP @ SV109 @ SV187 @ SY935 @ SY934 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV109 @ bool ) @ bool @ ( hAPP @ SV109 @ ( fun @ ( fun @ SV109 @ bool ) @ bool ) @ ( member @ SV109 ) @ SV237 ) @ SY936 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV109 @ bool ) @ bool @ ( hAPP @ SV109 @ ( fun @ ( fun @ SV109 @ bool ) @ bool ) @ ( member @ SV109 ) @ SY934 ) @ SY936 ) )
| ( ( ti @ SV109 @ SV237 )
= ( ti @ SV109 @ SY934 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[816]) ).
thf(918,plain,
! [SV110: $i] :
( ( ( preorder @ SV110 )
= $false )
| ( ( ! [SY678: $i,SY679: $i] :
( ~ ( hBOOL @ ( hAPP @ SV110 @ bool @ ( hAPP @ SV110 @ ( fun @ SV110 @ bool ) @ ( ord_less @ SV110 ) @ SY678 ) @ SY679 ) )
| ~ ( hBOOL @ ( hAPP @ SV110 @ bool @ ( hAPP @ SV110 @ ( fun @ SV110 @ bool ) @ ( ord_less @ SV110 ) @ SY679 ) @ SY678 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[817]) ).
thf(919,plain,
! [SV111: $i] :
( ( ( preorder @ SV111 )
= $false )
| ( ( ! [SY680: $i,SY681: $i,SY682: $i] :
( ~ ( hBOOL @ ( hAPP @ SV111 @ bool @ ( hAPP @ SV111 @ ( fun @ SV111 @ bool ) @ ( ord_less @ SV111 ) @ SY681 ) @ SY682 ) )
| ~ ( hBOOL @ ( hAPP @ SV111 @ bool @ ( hAPP @ SV111 @ ( fun @ SV111 @ bool ) @ ( ord_less @ SV111 ) @ SY682 ) @ SY681 ) )
| ( hBOOL @ SY680 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[818]) ).
thf(920,plain,
! [SV112: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV112 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( combk @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ arrow_1384031255e_indi ) @ SV112 ) ) @ arrow_1834574746e_Prof ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[819]) ).
thf(921,plain,
! [SV113: $i] :
( ( ( top @ SV113 )
= $false )
| ( ( ! [SY683: $i] :
~ ( ~ ( ~ ( ( ( ti @ SV113 @ SY683 )
!= ( top_top @ SV113 ) ) )
| ( hBOOL @ ( hAPP @ SV113 @ bool @ ( hAPP @ SV113 @ ( fun @ SV113 @ bool ) @ ( ord_less @ SV113 ) @ SY683 ) @ ( top_top @ SV113 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ SV113 @ bool @ ( hAPP @ SV113 @ ( fun @ SV113 @ bool ) @ ( ord_less @ SV113 ) @ SY683 ) @ ( top_top @ SV113 ) ) )
| ( ( ti @ SV113 @ SY683 )
!= ( top_top @ SV113 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[820]) ).
thf(922,plain,
! [SV238: $i,SV188: $i,SV114: $i] :
( ( ! [SY937: $i] :
( ~ ! [SY938: $i] :
( ( hAPP @ SV114 @ SV188 @ SV238 @ SY938 )
= ( hAPP @ SV114 @ SV188 @ SY937 @ SY938 ) )
| ( ( ti @ ( fun @ SV114 @ SV188 ) @ SV238 )
= ( ti @ ( fun @ SV114 @ SV188 ) @ SY937 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[821]) ).
thf(923,plain,
! [SV115: $i] :
( ( ( order @ SV115 )
= $false )
| ( ( ! [SY688: $i,SY689: $i] :
( ~ ( hBOOL @ ( hAPP @ SV115 @ bool @ ( hAPP @ SV115 @ ( fun @ SV115 @ bool ) @ ( ord_less @ SV115 ) @ SY688 ) @ SY689 ) )
| ( SY688 != SY689 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[822]) ).
thf(924,plain,
! [SV239: $i,SV193: $i,SV125: $i,SV15: $i] :
( ( ( hAPP @ SV15 @ SV125 @ ( ti @ ( fun @ SV15 @ SV125 ) @ SV193 ) @ SV239 )
= ( hAPP @ SV15 @ SV125 @ SV193 @ SV239 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[827]) ).
thf(925,plain,
! [SV240: $i,SV194: $i,SV126: $i,SV16: $i] :
( ( ( hAPP @ SV16 @ SV126 @ SV194 @ ( ti @ SV16 @ SV240 ) )
= ( hAPP @ SV16 @ SV126 @ SV194 @ SV240 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[828]) ).
thf(926,plain,
! [SV241: $i,SV195: $i,SV127: $i,SV17: $i] :
( ( ( ti @ SV17 @ ( hAPP @ SV127 @ SV17 @ SV195 @ SV241 ) )
= ( hAPP @ SV127 @ SV17 @ SV195 @ SV241 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[829]) ).
thf(927,plain,
! [SV242: $i,SV196: $i,SV131: $i,SV22: $i] :
( ( ! [SY939: $i,SY940: $i] :
( ( hAPP @ ( product_prod @ SV22 @ SV131 ) @ SV196 @ ( hAPP @ ( fun @ SV22 @ ( fun @ SV131 @ SV196 ) ) @ ( fun @ ( product_prod @ SV22 @ SV131 ) @ SV196 ) @ ( product_prod_rec @ SV22 @ SV131 @ SV196 ) @ SV242 ) @ ( hAPP @ SV131 @ ( product_prod @ SV22 @ SV131 ) @ ( hAPP @ SV22 @ ( fun @ SV131 @ ( product_prod @ SV22 @ SV131 ) ) @ ( product_Pair @ SV22 @ SV131 ) @ SY939 ) @ SY940 ) )
= ( hAPP @ SV131 @ SV196 @ ( hAPP @ SV22 @ ( fun @ SV131 @ SV196 ) @ SV242 @ SY939 ) @ SY940 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[830]) ).
thf(928,plain,
! [SV243: $i,SV200: $i,SV139: $i,SV33: $i] :
( ( ! [SY941: $i,SY942: $i] :
( ( hAPP @ SV33 @ SV139 @ ( hAPP @ ( fun @ SV33 @ SV200 ) @ ( fun @ SV33 @ SV139 ) @ ( hAPP @ ( fun @ SV200 @ SV139 ) @ ( fun @ ( fun @ SV33 @ SV200 ) @ ( fun @ SV33 @ SV139 ) ) @ ( combb @ SV200 @ SV139 @ SV33 ) @ SV243 ) @ SY941 ) @ SY942 )
= ( hAPP @ SV200 @ SV139 @ SV243 @ ( hAPP @ SV33 @ SV200 @ SY941 @ SY942 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[834]) ).
thf(929,plain,
! [SV244: $i,SV201: $i,SV140: $i,SV34: $i] :
( ( ! [SY943: $i,SY944: $i] :
( ( hAPP @ SV34 @ SV140 @ ( hAPP @ SV201 @ ( fun @ SV34 @ SV140 ) @ ( hAPP @ ( fun @ SV34 @ ( fun @ SV201 @ SV140 ) ) @ ( fun @ SV201 @ ( fun @ SV34 @ SV140 ) ) @ ( combc @ SV34 @ SV201 @ SV140 ) @ SV244 ) @ SY943 ) @ SY944 )
= ( hAPP @ SV201 @ SV140 @ ( hAPP @ SV34 @ ( fun @ SV201 @ SV140 ) @ SV244 @ SY944 ) @ SY943 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[835]) ).
thf(930,plain,
! [SV245: $i,SV202: $i,SV142: $i,SV36: $i] :
( ( ( hAPP @ SV36 @ SV142 @ ( hAPP @ SV142 @ ( fun @ SV36 @ SV142 ) @ ( combk @ SV142 @ SV36 ) @ SV202 ) @ SV245 )
= ( ti @ SV142 @ SV202 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[836]) ).
thf(931,plain,
! [SV246: $i,SV203: $i,SV143: $i,SV37: $i] :
( ( ! [SY945: $i,SY946: $i] :
( ( hAPP @ SV37 @ SV143 @ ( hAPP @ ( fun @ SV37 @ SV203 ) @ ( fun @ SV37 @ SV143 ) @ ( hAPP @ ( fun @ SV37 @ ( fun @ SV203 @ SV143 ) ) @ ( fun @ ( fun @ SV37 @ SV203 ) @ ( fun @ SV37 @ SV143 ) ) @ ( combs @ SV37 @ SV203 @ SV143 ) @ SV246 ) @ SY945 ) @ SY946 )
= ( hAPP @ SV203 @ SV143 @ ( hAPP @ SV37 @ ( fun @ SV203 @ SV143 ) @ SV246 @ SY946 ) @ ( hAPP @ SV37 @ SV203 @ SY945 @ SY946 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[837]) ).
thf(932,plain,
! [SV204: $i,SV144: $i,SV39: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV39 @ bool @ ( hAPP @ SV39 @ ( fun @ SV39 @ bool ) @ ( fequal @ SV39 ) @ SV144 ) @ SV204 ) ) )
= $true )
| ( ( ( ti @ SV39 @ SV144 )
= ( ti @ SV39 @ SV204 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[838]) ).
thf(933,plain,
! [SV247: $i,SV205: $i,SV145: $i,SV40: $i] :
( ( ! [SY947: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV40 @ bool ) @ bool @ ( hAPP @ ( fun @ SV40 @ SV145 ) @ ( fun @ ( fun @ SV40 @ bool ) @ bool ) @ ( inj_on @ SV40 @ SV145 ) @ SY947 ) @ ( top_top @ ( fun @ SV40 @ bool ) ) ) )
| ( ( hAPP @ SV40 @ SV145 @ SY947 @ SV205 )
!= ( hAPP @ SV40 @ SV145 @ SY947 @ SV247 ) )
| ( ( ti @ SV40 @ SV205 )
= ( ti @ SV40 @ SV247 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[839]) ).
thf(934,plain,
! [SV146: $i,SV41: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV41 )
!= ( ti @ arrow_1212486748le_alt @ SV146 ) )
= $false )
| ( ( ~ ! [SY725: $i] :
~ ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SY725 ) @ arrow_638930832le_Lin ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV41 ) @ SV146 ) ) @ SY725 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[840]) ).
thf(935,plain,
! [SV42: $i,SV147: $i] :
( ( ( top @ SV147 )
= $false )
| ( ( top @ ( fun @ SV42 @ SV147 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[841]) ).
thf(936,plain,
! [SV43: $i] :
( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_1932713123nimity @ SV43 ) )
| ! [SY462: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SY462 ) @ arrow_1834574746e_Prof ) )
| ! [SY463: $i,SY464: $i] :
( ~ ! [SX4: $i] : ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY463 ) @ SY464 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY462 @ SX4 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY463 ) @ SY464 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV43 @ SY462 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[842]) ).
thf(937,plain,
! [SV43: $i] :
( ( ~ ! [SY466: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SY466 ) @ arrow_1834574746e_Prof ) )
| ! [SY467: $i,SY468: $i] :
( ~ ! [SX4: $i] : ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY467 ) @ SY468 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY466 @ SX4 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY467 ) @ SY468 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV43 @ SY466 ) ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_1932713123nimity @ SV43 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[843]) ).
thf(938,plain,
! [SV44: $i,SV248: $i,SV206: $i,SV148: $i] :
( ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV148 @ bool ) @ bool @ ( hAPP @ ( fun @ SV148 @ SV206 ) @ ( fun @ ( fun @ SV148 @ bool ) @ bool ) @ ( inj_on @ SV148 @ SV206 ) @ SV248 ) @ ( top_top @ ( fun @ SV148 @ bool ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ SV148 @ bool ) @ bool @ ( hAPP @ ( fun @ SV148 @ ( fun @ SV44 @ SV206 ) ) @ ( fun @ ( fun @ SV148 @ bool ) @ bool ) @ ( inj_on @ SV148 @ ( fun @ SV44 @ SV206 ) ) @ ( hAPP @ ( fun @ SV148 @ SV206 ) @ ( fun @ SV148 @ ( fun @ SV44 @ SV206 ) ) @ ( hAPP @ ( fun @ SV206 @ ( fun @ SV44 @ SV206 ) ) @ ( fun @ ( fun @ SV148 @ SV206 ) @ ( fun @ SV148 @ ( fun @ SV44 @ SV206 ) ) ) @ ( combb @ SV206 @ ( fun @ SV44 @ SV206 ) @ SV148 ) @ ( combk @ SV206 @ SV44 ) ) @ SV248 ) ) @ ( top_top @ ( fun @ SV148 @ bool ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[844]) ).
thf(939,plain,
! [SV45: $i,SV149: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV149 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ SV149 ) @ SV45 ) ) @ arrow_638930832le_Lin ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[845]) ).
thf(940,plain,
! [SV207: $i,SV249: $i,SV150: $i,SV46: $i] :
( ( ! [SY948: $i,SY949: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ SV46 @ SV150 ) @ bool ) @ bool @ ( hAPP @ ( fun @ SV46 @ SV150 ) @ ( fun @ ( fun @ ( fun @ SV46 @ SV150 ) @ bool ) @ bool ) @ ( member @ ( fun @ SV46 @ SV150 ) ) @ SV249 ) @ ( hAPP @ ( fun @ SV46 @ ( fun @ SV150 @ bool ) ) @ ( fun @ ( fun @ SV46 @ SV150 ) @ bool ) @ ( hAPP @ ( fun @ SV46 @ bool ) @ ( fun @ ( fun @ SV46 @ ( fun @ SV150 @ bool ) ) @ ( fun @ ( fun @ SV46 @ SV150 ) @ bool ) ) @ ( pi @ SV46 @ SV150 ) @ SY948 ) @ SY949 ) ) )
| ~ ~ ( hBOOL @ ( hAPP @ ( fun @ SV150 @ bool ) @ bool @ ( hAPP @ SV150 @ ( fun @ ( fun @ SV150 @ bool ) @ bool ) @ ( member @ SV150 ) @ ( hAPP @ SV46 @ SV150 @ SV249 @ SV207 ) ) @ ( hAPP @ SV46 @ ( fun @ SV150 @ bool ) @ SY949 @ SV207 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV46 @ bool ) @ bool @ ( hAPP @ SV46 @ ( fun @ ( fun @ SV46 @ bool ) @ bool ) @ ( member @ SV46 ) @ SV207 ) @ SY948 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[846]) ).
thf(941,plain,
! [SV208: $i,SV250: $i,SV151: $i,SV47: $i] :
( ( ! [SY950: $i,SY951: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ SV47 @ SV151 ) @ bool ) @ bool @ ( hAPP @ ( fun @ SV47 @ SV151 ) @ ( fun @ ( fun @ ( fun @ SV47 @ SV151 ) @ bool ) @ bool ) @ ( member @ ( fun @ SV47 @ SV151 ) ) @ SV250 ) @ ( hAPP @ ( fun @ SV47 @ ( fun @ SV151 @ bool ) ) @ ( fun @ ( fun @ SV47 @ SV151 ) @ bool ) @ ( hAPP @ ( fun @ SV47 @ bool ) @ ( fun @ ( fun @ SV47 @ ( fun @ SV151 @ bool ) ) @ ( fun @ ( fun @ SV47 @ SV151 ) @ bool ) ) @ ( pi @ SV47 @ SV151 ) @ SY950 ) @ SY951 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV47 @ bool ) @ bool @ ( hAPP @ SV47 @ ( fun @ ( fun @ SV47 @ bool ) @ bool ) @ ( member @ SV47 ) @ SV208 ) @ SY950 ) )
| ( hBOOL @ ( hAPP @ ( fun @ SV151 @ bool ) @ bool @ ( hAPP @ SV151 @ ( fun @ ( fun @ SV151 @ bool ) @ bool ) @ ( member @ SV151 ) @ ( hAPP @ SV47 @ SV151 @ SV250 @ SV208 ) ) @ ( hAPP @ SV47 @ ( fun @ SV151 @ bool ) @ SY951 @ SV208 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[847]) ).
thf(942,plain,
! [SV251: $i,SV209: $i,SV152: $i,SV48: $i] :
( ( ! [SY952: $i,SY953: $i] :
~ ( ~ ( ( ( hAPP @ SV48 @ ( product_prod @ SV152 @ SV48 ) @ ( hAPP @ SV152 @ ( fun @ SV48 @ ( product_prod @ SV152 @ SV48 ) ) @ ( product_Pair @ SV152 @ SV48 ) @ SV209 ) @ SV251 )
!= ( hAPP @ SV48 @ ( product_prod @ SV152 @ SV48 ) @ ( hAPP @ SV152 @ ( fun @ SV48 @ ( product_prod @ SV152 @ SV48 ) ) @ ( product_Pair @ SV152 @ SV48 ) @ SY952 ) @ SY953 ) )
| ~ ( ( ( ti @ SV152 @ SV209 )
!= ( ti @ SV152 @ SY952 ) )
| ( ( ti @ SV48 @ SV251 )
!= ( ti @ SV48 @ SY953 ) ) ) )
| ~ ( ~ ~ ( ( ( ti @ SV152 @ SV209 )
!= ( ti @ SV152 @ SY952 ) )
| ( ( ti @ SV48 @ SV251 )
!= ( ti @ SV48 @ SY953 ) ) )
| ( ( hAPP @ SV48 @ ( product_prod @ SV152 @ SV48 ) @ ( hAPP @ SV152 @ ( fun @ SV48 @ ( product_prod @ SV152 @ SV48 ) ) @ ( product_Pair @ SV152 @ SV48 ) @ SV209 ) @ SV251 )
= ( hAPP @ SV48 @ ( product_prod @ SV152 @ SV48 ) @ ( hAPP @ SV152 @ ( fun @ SV48 @ ( product_prod @ SV152 @ SV48 ) ) @ ( product_Pair @ SV152 @ SV48 ) @ SY952 ) @ SY953 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[848]) ).
thf(943,plain,
! [SV49: $i,SV153: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV153 ) @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) ) @ ( pi @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1834574746e_Prof ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( combk @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_638930832le_Lin ) ) ) )
= $false )
| ( ( ~ ! [SY740: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SY740 ) @ arrow_1834574746e_Prof ) )
| ! [SY741: $i,SY742: $i] :
( ~ ( ( ( ti @ arrow_1212486748le_alt @ SY741 )
!= ( ti @ arrow_1212486748le_alt @ SY742 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY741 ) @ SY742 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY740 @ SV49 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY741 ) @ SY742 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV153 @ SY740 ) ) ) ) )
| ( hBOOL @ ( hAPP @ arrow_1384031255e_indi @ bool @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ bool ) @ arrow_1990387629ctator @ SV153 ) @ SV49 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[849]) ).
thf(944,plain,
! [SV210: $i,SV252: $i,SV154: $i,SV50: $i] :
( ( ~ ( ~ ( ~ ! [SY954: $i,SY955: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SY954 ) @ SY955 ) ) @ SV252 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SY954 ) @ SY955 ) ) @ SV210 ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SY954 ) @ SY955 ) ) @ SV210 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SY954 ) @ SY955 ) ) @ SV252 ) ) ) )
| ( ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV252 )
= ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV210 ) ) )
| ~ ( ( ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV252 )
!= ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV210 ) )
| ! [SY956: $i,SY957: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SY956 ) @ SY957 ) ) @ SV252 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SY956 ) @ SY957 ) ) @ SV210 ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SY956 ) @ SY957 ) ) @ SV210 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SY956 ) @ SY957 ) ) @ SV252 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[850]) ).
thf(945,plain,
! [SV155: $i,SV51: $i,SV211: $i,SV253: $i] :
( ( ! [SY958: $i] :
( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
!= ( ti @ arrow_1212486748le_alt @ SY958 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SY958 ) ) )
| ~ ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV155 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SY958 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV253 ) @ SV155 ) ) @ SV211 ) ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SY958 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SY958 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV253 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV253 ) ) @ SV211 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SY958 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) ) ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV155 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SY958 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV253 ) @ SV155 ) ) @ SV211 ) ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SY958 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SY958 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV253 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV253 ) ) @ SV211 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SY958 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) ) ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SY958 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[851]) ).
thf(946,plain,
! [SV254: $i,SV212: $i,SV156: $i,SV52: $i] :
( ( ! [SY959: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV52 @ bool ) @ bool @ ( hAPP @ ( fun @ SV52 @ SV156 ) @ ( fun @ ( fun @ SV52 @ bool ) @ bool ) @ ( inj_on @ SV52 @ SV156 ) @ SY959 ) @ ( top_top @ ( fun @ SV52 @ bool ) ) ) )
| ~ ( ~ ( ( ( hAPP @ SV52 @ SV156 @ SY959 @ SV212 )
!= ( hAPP @ SV52 @ SV156 @ SY959 @ SV254 ) )
| ( ( ti @ SV52 @ SV212 )
= ( ti @ SV52 @ SV254 ) ) )
| ~ ( ( ( ti @ SV52 @ SV212 )
!= ( ti @ SV52 @ SV254 ) )
| ( ( hAPP @ SV52 @ SV156 @ SY959 @ SV212 )
= ( hAPP @ SV52 @ SV156 @ SY959 @ SV254 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[852]) ).
thf(947,plain,
! [SV213: $i,SV255: $i,SV157: $i,SV53: $i] :
( ( ! [SY960: $i,SY961: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ SV53 @ SV157 ) @ bool ) @ bool @ ( hAPP @ ( fun @ SV53 @ SV157 ) @ ( fun @ ( fun @ ( fun @ SV53 @ SV157 ) @ bool ) @ bool ) @ ( member @ ( fun @ SV53 @ SV157 ) ) @ SV255 ) @ ( hAPP @ ( fun @ SV53 @ ( fun @ SV157 @ bool ) ) @ ( fun @ ( fun @ SV53 @ SV157 ) @ bool ) @ ( hAPP @ ( fun @ SV53 @ bool ) @ ( fun @ ( fun @ SV53 @ ( fun @ SV157 @ bool ) ) @ ( fun @ ( fun @ SV53 @ SV157 ) @ bool ) ) @ ( pi @ SV53 @ SV157 ) @ SY960 ) @ ( hAPP @ ( fun @ SV157 @ bool ) @ ( fun @ SV53 @ ( fun @ SV157 @ bool ) ) @ ( combk @ ( fun @ SV157 @ bool ) @ SV53 ) @ SY961 ) ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV53 @ bool ) @ bool @ ( hAPP @ SV53 @ ( fun @ ( fun @ SV53 @ bool ) @ bool ) @ ( member @ SV53 ) @ SV213 ) @ SY960 ) )
| ( hBOOL @ ( hAPP @ ( fun @ SV157 @ bool ) @ bool @ ( hAPP @ SV157 @ ( fun @ ( fun @ SV157 @ bool ) @ bool ) @ ( member @ SV157 ) @ ( hAPP @ SV53 @ SV157 @ SV255 @ SV213 ) ) @ SY961 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[853]) ).
thf(948,plain,
! [SV54: $i,SV158: $i,SV256: $i,SV214: $i] :
( ( ! [SY962: $i,SY963: $i] :
( ~ ( ( ( ti @ arrow_1212486748le_alt @ SY962 )
!= ( ti @ arrow_1212486748le_alt @ SY963 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV214 )
!= ( ti @ arrow_1212486748le_alt @ SV256 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV158 ) @ arrow_1834574746e_Prof ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV54 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY964: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY962 ) @ SY963 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ SY964 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ SY964 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ SY964 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY962 ) @ SY963 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ SY964 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY962 ) @ SY963 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY962 ) @ SY963 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[854]) ).
thf(949,plain,
! [SV55: $i] :
( ( ~ ( hBOOL @ ( ti @ bool @ SV55 ) )
| ( hBOOL @ SV55 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[855]) ).
thf(950,plain,
! [SV55: $i] :
( ( ~ ( hBOOL @ SV55 )
| ( hBOOL @ ( ti @ bool @ SV55 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[856]) ).
thf(951,plain,
! [SV215: $i,SV257: $i,SV159: $i,SV56: $i] :
( ( ! [SY965: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV56 @ bool ) @ bool @ ( hAPP @ ( fun @ SV56 @ SV159 ) @ ( fun @ ( fun @ SV56 @ bool ) @ bool ) @ ( inj_on @ SV56 @ SV159 ) @ SV257 ) @ SY965 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV56 @ bool ) @ bool @ ( hAPP @ SV56 @ ( fun @ ( fun @ SV56 @ bool ) @ bool ) @ ( member @ SV56 ) @ SV215 ) @ SY965 ) )
| ( ( hAPP @ SV159 @ SV56 @ ( hAPP @ ( fun @ SV56 @ SV159 ) @ ( fun @ SV159 @ SV56 ) @ ( hAPP @ ( fun @ SV56 @ bool ) @ ( fun @ ( fun @ SV56 @ SV159 ) @ ( fun @ SV159 @ SV56 ) ) @ ( hilbert_inv_into @ SV56 @ SV159 ) @ SY965 ) @ SV257 ) @ ( hAPP @ SV56 @ SV159 @ SV257 @ SV215 ) )
= ( ti @ SV56 @ SV215 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[857]) ).
thf(952,plain,
! [SV258: $i,SV57: $i] :
( ( ( ! [SY966: $i,SY967: $i] :
( ( SY966 != SY967 )
| ~ ( hBOOL @ ( hAPP @ SV57 @ bool @ ( hAPP @ SV57 @ ( fun @ SV57 @ bool ) @ ( ord_less @ SV57 ) @ SY967 ) @ SV258 ) )
| ( hBOOL @ ( hAPP @ SV57 @ bool @ ( hAPP @ SV57 @ ( fun @ SV57 @ bool ) @ ( ord_less @ SV57 ) @ SY966 ) @ SV258 ) ) ) )
= $true )
| ( ( ord @ SV57 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[858]) ).
thf(953,plain,
! [SV259: $i,SV58: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV58 @ bool @ ( hAPP @ SV58 @ ( fun @ SV58 @ bool ) @ ( ord_less @ SV58 ) @ SV259 ) @ SV259 ) ) )
= $true )
| ( ( preorder @ SV58 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[859]) ).
thf(954,plain,
! [SV59: $i,SV160: $i,SV260: $i,SV216: $i] :
( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV216 )
!= ( ti @ arrow_1212486748le_alt @ SV260 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV160 ) @ arrow_1834574746e_Prof ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV59 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY968: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ SY968 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ SY968 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ SY968 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ SY968 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[860]) ).
thf(955,plain,
! [SV261: $i,SV60: $i] :
( ( ( ! [SY969: $i] :
( ~ ( hBOOL @ ( hAPP @ SV60 @ bool @ ( hAPP @ SV60 @ ( fun @ SV60 @ bool ) @ ( ord_less @ SV60 ) @ SV261 ) @ SY969 ) )
| ~ ( hBOOL @ ( hAPP @ SV60 @ bool @ ( hAPP @ SV60 @ ( fun @ SV60 @ bool ) @ ( ord_less @ SV60 ) @ SY969 ) @ SV261 ) ) ) )
= $true )
| ( ( preorder @ SV60 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[861]) ).
thf(956,plain,
! [SV262: $i,SV61: $i] :
( ( ( ! [SY970: $i] :
( ~ ( hBOOL @ ( hAPP @ SV61 @ bool @ ( hAPP @ SV61 @ ( fun @ SV61 @ bool ) @ ( ord_less @ SV61 ) @ SV262 ) @ SY970 ) )
| ~ ( hBOOL @ ( hAPP @ SV61 @ bool @ ( hAPP @ SV61 @ ( fun @ SV61 @ bool ) @ ( ord_less @ SV61 ) @ SY970 ) @ SV262 ) ) ) )
= $true )
| ( ( order @ SV61 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[862]) ).
thf(957,plain,
! [SV263: $i,SV217: $i,SV161: $i,SV62: $i] :
( ( ! [SY971: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV62 @ bool ) @ bool @ ( hAPP @ ( fun @ SV62 @ SV161 ) @ ( fun @ ( fun @ SV62 @ bool ) @ bool ) @ ( inj_on @ SV62 @ SV161 ) @ SY971 ) @ ( top_top @ ( fun @ SV62 @ bool ) ) ) )
| ( ( hAPP @ SV62 @ SV161 @ SY971 @ SV217 )
!= ( ti @ SV161 @ SV263 ) )
| ( ( hAPP @ SV161 @ SV62 @ ( hAPP @ ( fun @ SV62 @ SV161 ) @ ( fun @ SV161 @ SV62 ) @ ( hAPP @ ( fun @ SV62 @ bool ) @ ( fun @ ( fun @ SV62 @ SV161 ) @ ( fun @ SV161 @ SV62 ) ) @ ( hilbert_inv_into @ SV62 @ SV161 ) @ ( top_top @ ( fun @ SV62 @ bool ) ) ) @ SY971 ) @ SV263 )
= ( ti @ SV62 @ SV217 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[863]) ).
thf(958,plain,
! [SV63: $i,SV162: $i] :
( ( ( top @ SV162 )
= $false )
| ( ( ! [SY773: $i] :
( ( hAPP @ SV63 @ SV162 @ ( top_top @ ( fun @ SV63 @ SV162 ) ) @ SY773 )
= ( top_top @ SV162 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[864]) ).
thf(959,plain,
! [SV264: $i,SV64: $i] :
( ( ( ! [SY972: $i,SY973: $i] :
( ~ ( hBOOL @ ( hAPP @ SV64 @ bool @ ( hAPP @ SV64 @ ( fun @ SV64 @ bool ) @ ( ord_less @ SV64 ) @ SY972 ) @ SY973 ) )
| ~ ( hBOOL @ ( hAPP @ SV64 @ bool @ ( hAPP @ SV64 @ ( fun @ SV64 @ bool ) @ ( ord_less @ SV64 ) @ SY973 ) @ SV264 ) )
| ( hBOOL @ ( hAPP @ SV64 @ bool @ ( hAPP @ SV64 @ ( fun @ SV64 @ bool ) @ ( ord_less @ SV64 ) @ SY972 ) @ SV264 ) ) ) )
= $true )
| ( ( preorder @ SV64 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[865]) ).
thf(960,plain,
! [SV265: $i,SV218: $i,SV163: $i,SV65: $i] :
( ( ! [SY974: $i,SY975: $i] :
( ( ( hAPP @ SV65 @ ( product_prod @ SV163 @ SV65 ) @ ( hAPP @ SV163 @ ( fun @ SV65 @ ( product_prod @ SV163 @ SV65 ) ) @ ( product_Pair @ SV163 @ SV65 ) @ SV218 ) @ SV265 )
!= ( hAPP @ SV65 @ ( product_prod @ SV163 @ SV65 ) @ ( hAPP @ SV163 @ ( fun @ SV65 @ ( product_prod @ SV163 @ SV65 ) ) @ ( product_Pair @ SV163 @ SV65 ) @ SY974 ) @ SY975 ) )
| ~ ( ( ( ti @ SV163 @ SV218 )
!= ( ti @ SV163 @ SY974 ) )
| ( ( ti @ SV65 @ SV265 )
!= ( ti @ SV65 @ SY975 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[866]) ).
thf(961,plain,
! [SV66: $i,SV164: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV164 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ SV164 ) @ SV66 ) ) @ arrow_638930832le_Lin ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[867]) ).
thf(962,plain,
! [SV266: $i,SV67: $i] :
( ( ( ! [SY976: $i] :
~ ( ~ ( ~ ( ( ( ti @ SV67 @ SV266 )
!= ( ti @ SV67 @ SY976 ) ) )
| ( hBOOL @ ( hAPP @ SV67 @ bool @ ( hAPP @ SV67 @ ( fun @ SV67 @ bool ) @ ( ord_less @ SV67 ) @ SV266 ) @ SY976 ) )
| ( hBOOL @ ( hAPP @ SV67 @ bool @ ( hAPP @ SV67 @ ( fun @ SV67 @ bool ) @ ( ord_less @ SV67 ) @ SY976 ) @ SV266 ) ) )
| ~ ( ~ ( ( hBOOL @ ( hAPP @ SV67 @ bool @ ( hAPP @ SV67 @ ( fun @ SV67 @ bool ) @ ( ord_less @ SV67 ) @ SV266 ) @ SY976 ) )
| ( hBOOL @ ( hAPP @ SV67 @ bool @ ( hAPP @ SV67 @ ( fun @ SV67 @ bool ) @ ( ord_less @ SV67 ) @ SY976 ) @ SV266 ) ) )
| ( ( ti @ SV67 @ SV266 )
!= ( ti @ SV67 @ SY976 ) ) ) ) )
= $true )
| ( ( linorder @ SV67 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[868]) ).
thf(963,plain,
! [SV267: $i,SV68: $i] :
( ( ( ! [SY977: $i,SY978: $i] :
( ~ ( hBOOL @ ( hAPP @ SV68 @ bool @ ( hAPP @ SV68 @ ( fun @ SV68 @ bool ) @ ( ord_less @ SV68 ) @ SY977 ) @ SY978 ) )
| ( SY977 != SV267 )
| ( hBOOL @ ( hAPP @ SV68 @ bool @ ( hAPP @ SV68 @ ( fun @ SV68 @ bool ) @ ( ord_less @ SV68 ) @ SV267 ) @ SY978 ) ) ) )
= $true )
| ( ( order @ SV68 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[869]) ).
thf(964,plain,
! [SV219: $i,SV268: $i,SV165: $i,SV69: $i] :
( ( ! [SY979: $i,SY980: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV69 @ bool ) @ bool @ ( hAPP @ ( fun @ SV69 @ SV165 ) @ ( fun @ ( fun @ SV69 @ bool ) @ bool ) @ ( inj_on @ SV69 @ SV165 ) @ SY979 ) @ SY980 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV69 @ bool ) @ bool @ ( hAPP @ SV69 @ ( fun @ ( fun @ SV69 @ bool ) @ bool ) @ ( member @ SV69 ) @ SV268 ) @ SY980 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV69 @ bool ) @ bool @ ( hAPP @ SV69 @ ( fun @ ( fun @ SV69 @ bool ) @ bool ) @ ( member @ SV69 ) @ SV219 ) @ SY980 ) )
| ~ ( ~ ( ( ( hAPP @ SV69 @ SV165 @ SY979 @ SV268 )
!= ( hAPP @ SV69 @ SV165 @ SY979 @ SV219 ) )
| ( ( ti @ SV69 @ SV268 )
= ( ti @ SV69 @ SV219 ) ) )
| ~ ( ( ( ti @ SV69 @ SV268 )
!= ( ti @ SV69 @ SV219 ) )
| ( ( hAPP @ SV69 @ SV165 @ SY979 @ SV268 )
= ( hAPP @ SV69 @ SV165 @ SY979 @ SV219 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[870]) ).
thf(965,plain,
! [SV166: $i,SV70: $i] :
( ( ~ ( ~ ( hBOOL @ ( hAPP @ arrow_1384031255e_indi @ bool @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ bool ) @ arrow_1990387629ctator @ SV70 ) @ SV166 ) )
| ! [SY782: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SY782 ) @ arrow_1834574746e_Prof ) )
| ( ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV70 @ SY782 )
= ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY782 @ SV166 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[871]) ).
thf(966,plain,
! [SV166: $i,SV70: $i] :
( ( ~ ( ~ ! [SY783: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SY783 ) @ arrow_1834574746e_Prof ) )
| ( ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV70 @ SY783 )
= ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY783 @ SV166 ) ) )
| ( hBOOL @ ( hAPP @ arrow_1384031255e_indi @ bool @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ bool ) @ arrow_1990387629ctator @ SV70 ) @ SV166 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[871]) ).
thf(967,plain,
! [SV269: $i,SV71: $i] :
( ( ( ! [SY981: $i] :
( ~ ( ( ( ti @ SV71 @ SV269 )
!= ( ti @ SV71 @ SY981 ) ) )
| ~ ~ ( hBOOL @ ( hAPP @ SV71 @ bool @ ( hAPP @ SV71 @ ( fun @ SV71 @ bool ) @ ( ord_less @ SV71 ) @ SV269 ) @ SY981 ) )
| ( hBOOL @ ( hAPP @ SV71 @ bool @ ( hAPP @ SV71 @ ( fun @ SV71 @ bool ) @ ( ord_less @ SV71 ) @ SY981 ) @ SV269 ) ) ) )
= $true )
| ( ( linorder @ SV71 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[872]) ).
thf(968,plain,
! [SV270: $i,SV72: $i] :
( ( ( ! [SY982: $i] :
( ~ ( hBOOL @ ( hAPP @ SV72 @ bool @ ( hAPP @ SV72 @ ( fun @ SV72 @ bool ) @ ( ord_less @ SV72 ) @ SV270 ) @ SY982 ) )
| ( SY982 != SV270 ) ) )
= $true )
| ( ( order @ SV72 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[873]) ).
thf(969,plain,
! [SV271: $i,SV73: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV73 @ bool @ ( hAPP @ SV73 @ ( fun @ SV73 @ bool ) @ ( ord_less @ SV73 ) @ ( top_top @ SV73 ) ) @ SV271 ) ) )
= $true )
| ( ( top @ SV73 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[874]) ).
thf(970,plain,
! [SV272: $i,SV74: $i] :
( ( ( ! [SY983: $i] :
( ~ ( hBOOL @ ( hAPP @ SV74 @ bool @ ( hAPP @ SV74 @ ( fun @ SV74 @ bool ) @ ( ord_less @ SV74 ) @ SV272 ) @ SY983 ) )
| ~ ( hBOOL @ ( hAPP @ SV74 @ bool @ ( hAPP @ SV74 @ ( fun @ SV74 @ bool ) @ ( ord_less @ SV74 ) @ SY983 ) @ SV272 ) ) ) )
= $true )
| ( ( preorder @ SV74 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[875]) ).
thf(971,plain,
! [SV75: $i] :
( ( ~ ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[876]) ).
thf(972,plain,
! [SV75: $i] :
( ( ~ ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[877]) ).
thf(973,plain,
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( ord_less @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_992993526_mktop ) @ p ) ) @ e ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( fequal @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ arrow_1726925404_above ) @ p ) ) @ c ) ) @ e ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_844286440_mkbot ) @ p ) ) @ e ) ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combc @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( ord_less @ nat ) ) @ h ) ) @ n ) ) ) @ lab ) ) @ lba ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[878]) ).
thf(974,plain,
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combc @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( ord_less @ nat ) ) @ h ) ) @ n ) ) ) @ lab ) ) @ lba ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( ord_less @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_992993526_mktop ) @ p ) ) @ e ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( fequal @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ arrow_1726925404_above ) @ p ) ) @ c ) ) @ e ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_844286440_mkbot ) @ p ) ) @ e ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[879]) ).
thf(975,plain,
! [SV220: $i,SV167: $i,SV76: $i] :
( ( ( ( ti @ SV76 @ SV167 )
!= ( ti @ SV76 @ SV220 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV76 @ bool @ ( hAPP @ SV76 @ ( fun @ SV76 @ bool ) @ ( fequal @ SV76 ) @ SV167 ) @ SV220 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[880]) ).
thf(976,plain,
! [SV221: $i,SV273: $i,SV168: $i,SV77: $i] :
( ( ! [SY984: $i,SY985: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV77 @ bool ) @ bool @ ( hAPP @ ( fun @ SV77 @ SV168 ) @ ( fun @ ( fun @ SV77 @ bool ) @ bool ) @ ( inj_on @ SV77 @ SV168 ) @ SY984 ) @ SY985 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV77 @ bool ) @ bool @ ( hAPP @ SV77 @ ( fun @ ( fun @ SV77 @ bool ) @ bool ) @ ( member @ SV77 ) @ SV273 ) @ SY985 ) )
| ( ( hAPP @ SV77 @ SV168 @ SY984 @ SV273 )
!= ( ti @ SV168 @ SV221 ) )
| ( ( hAPP @ SV168 @ SV77 @ ( hAPP @ ( fun @ SV77 @ SV168 ) @ ( fun @ SV168 @ SV77 ) @ ( hAPP @ ( fun @ SV77 @ bool ) @ ( fun @ ( fun @ SV77 @ SV168 ) @ ( fun @ SV168 @ SV77 ) ) @ ( hilbert_inv_into @ SV77 @ SV168 ) @ SY985 ) @ SY984 ) @ SV221 )
= ( ti @ SV77 @ SV273 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[881]) ).
thf(977,plain,
! [SV222: $i,SV169: $i,SV78: $i] :
( ( ( ~ ! [SY902: $i,SY903: $i] :
( ( ( hAPP @ SV78 @ SV169 @ SV222 @ SY902 )
!= ( hAPP @ SV78 @ SV169 @ SV222 @ SY903 ) )
| ( ( ti @ SV78 @ SY902 )
= ( ti @ SV78 @ SY903 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV78 @ bool ) @ bool @ ( hAPP @ ( fun @ SV78 @ SV169 ) @ ( fun @ ( fun @ SV78 @ bool ) @ bool ) @ ( inj_on @ SV78 @ SV169 ) @ SV222 ) @ ( top_top @ ( fun @ SV78 @ bool ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[882]) ).
thf(978,plain,
! [SV223: $i,SV274: $i,SV170: $i,SV79: $i] :
( ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV79 @ bool ) @ bool @ ( hAPP @ ( fun @ SV79 @ SV170 ) @ ( fun @ ( fun @ SV79 @ bool ) @ bool ) @ ( inj_on @ SV79 @ SV170 ) @ SV274 ) @ ( top_top @ ( fun @ SV79 @ bool ) ) ) )
| ~ ! [SY986: $i] :
( ( hAPP @ SV79 @ SV170 @ SV274 @ ( hAPP @ SV170 @ SV79 @ SV223 @ SY986 ) )
= ( ti @ SV170 @ SY986 ) )
| ( ( hAPP @ ( fun @ SV79 @ SV170 ) @ ( fun @ SV170 @ SV79 ) @ ( hAPP @ ( fun @ SV79 @ bool ) @ ( fun @ ( fun @ SV79 @ SV170 ) @ ( fun @ SV170 @ SV79 ) ) @ ( hilbert_inv_into @ SV79 @ SV170 ) @ ( top_top @ ( fun @ SV79 @ bool ) ) ) @ SV274 )
= ( ti @ ( fun @ SV170 @ SV79 ) @ SV223 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[883]) ).
thf(979,plain,
! [SV80: $i,SV224: $i,SV171: $i] :
( ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV171 )
!= ( ti @ arrow_1212486748le_alt @ SV224 ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV80 ) @ arrow_638930832le_Lin ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV80 ) @ SV171 ) @ SV224 ) ) @ arrow_638930832le_Lin ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[884]) ).
thf(980,plain,
! [SV275: $i,SV225: $i,SV172: $i,SV81: $i] :
( ( ! [SY987: $i,SY988: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV81 @ bool ) @ bool @ ( hAPP @ ( fun @ SV81 @ SV172 ) @ ( fun @ ( fun @ SV81 @ bool ) @ bool ) @ ( inj_on @ SV81 @ SV172 ) @ SY987 ) @ SY988 ) )
| ~ ( ( ( ti @ SV81 @ SV225 )
!= ( ti @ SV81 @ SV275 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV81 @ bool ) @ bool @ ( hAPP @ SV81 @ ( fun @ ( fun @ SV81 @ bool ) @ bool ) @ ( member @ SV81 ) @ SV225 ) @ SY988 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV81 @ bool ) @ bool @ ( hAPP @ SV81 @ ( fun @ ( fun @ SV81 @ bool ) @ bool ) @ ( member @ SV81 ) @ SV275 ) @ SY988 ) )
| ( ( hAPP @ SV81 @ SV172 @ SY987 @ SV225 )
!= ( hAPP @ SV81 @ SV172 @ SY987 @ SV275 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[885]) ).
thf(981,plain,
! [SV276: $i,SV226: $i,SV173: $i,SV82: $i] :
( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ SV226 ) @ SV276 ) ) )
| ~ ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV173 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV173 ) ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ SV226 ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV173 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV173 ) ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ SV226 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ SV226 ) @ SV276 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[886]) ).
thf(982,plain,
! [SV174: $i,SV83: $i,SV227: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV227 ) @ arrow_638930832le_Lin ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV83 ) @ SV174 ) ) @ SV227 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV174 ) @ SV83 ) ) @ SV227 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[887]) ).
thf(983,plain,
! [SV84: $i,SV175: $i,SV277: $i,SV228: $i] :
( ( ! [SY989: $i,SY990: $i] :
( ~ ( ( ( ti @ arrow_1212486748le_alt @ SY989 )
!= ( ti @ arrow_1212486748le_alt @ SY990 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV228 )
!= ( ti @ arrow_1212486748le_alt @ SV277 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SY989 )
!= ( ti @ arrow_1212486748le_alt @ SV277 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SY990 )
!= ( ti @ arrow_1212486748le_alt @ SV228 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV175 ) @ arrow_1834574746e_Prof ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV84 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY991: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY989 ) @ SY990 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ SY991 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ SY991 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ SY991 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY989 ) @ SY990 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ SY991 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY989 ) @ SY990 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY989 ) @ SY990 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[888]) ).
thf(984,plain,
! [SV278: $i,SV85: $i] :
( ( ( ! [SY992: $i,SY993: $i] :
( ~ ( hBOOL @ ( hAPP @ SV85 @ bool @ ( hAPP @ SV85 @ ( fun @ SV85 @ bool ) @ ( ord_less @ SV85 ) @ SY992 ) @ SY993 ) )
| ( SY993 != SV278 )
| ( hBOOL @ ( hAPP @ SV85 @ bool @ ( hAPP @ SV85 @ ( fun @ SV85 @ bool ) @ ( ord_less @ SV85 ) @ SY992 ) @ SV278 ) ) ) )
= $true )
| ( ( ord @ SV85 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[889]) ).
thf(985,plain,
! [SV86: $i,SV176: $i] :
( ( ( order @ SV176 )
= $false )
| ( ( order @ ( fun @ SV86 @ SV176 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[890]) ).
thf(986,plain,
! [SV279: $i,SV87: $i] :
( ( ( ! [SY994: $i,SY995: $i] :
( ( SY994 != SY995 )
| ~ ( hBOOL @ ( hAPP @ SV87 @ bool @ ( hAPP @ SV87 @ ( fun @ SV87 @ bool ) @ ( ord_less @ SV87 ) @ SV279 ) @ SY995 ) )
| ( hBOOL @ ( hAPP @ SV87 @ bool @ ( hAPP @ SV87 @ ( fun @ SV87 @ bool ) @ ( ord_less @ SV87 ) @ SV279 ) @ SY994 ) ) ) )
= $true )
| ( ( order @ SV87 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[891]) ).
thf(987,plain,
! [SV280: $i,SV88: $i] :
( ( ( ! [SY996: $i] :
( ~ ~ ( hBOOL @ ( hAPP @ SV88 @ bool @ ( hAPP @ SV88 @ ( fun @ SV88 @ bool ) @ ( ord_less @ SV88 ) @ SV280 ) @ SY996 ) )
| ~ ( ( ( ti @ SV88 @ SV280 )
!= ( ti @ SV88 @ SY996 ) ) )
| ( hBOOL @ ( hAPP @ SV88 @ bool @ ( hAPP @ SV88 @ ( fun @ SV88 @ bool ) @ ( ord_less @ SV88 ) @ SY996 ) @ SV280 ) ) ) )
= $true )
| ( ( linorder @ SV88 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[892]) ).
thf(988,plain,
! [SV89: $i] :
( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
| ! [SY612: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SY612 ) @ arrow_1834574746e_Prof ) )
| ! [SY613: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SY613 ) @ arrow_1834574746e_Prof ) )
| ! [SY614: $i,SY615: $i] :
( ~ ! [SX5: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY614 ) @ SY615 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY612 @ SX5 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY614 ) @ SY615 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY613 @ SX5 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY614 ) @ SY615 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY613 @ SX5 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY614 ) @ SY615 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY612 @ SX5 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY614 ) @ SY615 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SY612 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY614 ) @ SY615 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SY613 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY614 ) @ SY615 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SY613 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY614 ) @ SY615 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SY612 ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[893]) ).
thf(989,plain,
! [SV89: $i] :
( ( ~ ! [SY617: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SY617 ) @ arrow_1834574746e_Prof ) )
| ! [SY618: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SY618 ) @ arrow_1834574746e_Prof ) )
| ! [SY619: $i,SY620: $i] :
( ~ ! [SX5: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY619 ) @ SY620 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY617 @ SX5 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY619 ) @ SY620 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY618 @ SX5 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY619 ) @ SY620 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY618 @ SX5 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY619 ) @ SY620 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY617 @ SX5 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY619 ) @ SY620 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SY617 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY619 ) @ SY620 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SY618 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY619 ) @ SY620 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SY618 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY619 ) @ SY620 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SY617 ) ) ) ) ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[894]) ).
thf(990,plain,
! [SV229: $i,SV177: $i,SV90: $i] :
( ( ~ ( ~ ! [SY914: $i] : ( hBOOL @ ( hAPP @ ( product_prod @ SV90 @ SV177 ) @ bool @ SV229 @ SY914 ) )
| ! [SY915: $i,SY916: $i] : ( hBOOL @ ( hAPP @ ( product_prod @ SV90 @ SV177 ) @ bool @ SV229 @ ( hAPP @ SV177 @ ( product_prod @ SV90 @ SV177 ) @ ( hAPP @ SV90 @ ( fun @ SV177 @ ( product_prod @ SV90 @ SV177 ) ) @ ( product_Pair @ SV90 @ SV177 ) @ SY915 ) @ SY916 ) ) ) )
| ~ ( ~ ! [SY917: $i,SY918: $i] : ( hBOOL @ ( hAPP @ ( product_prod @ SV90 @ SV177 ) @ bool @ SV229 @ ( hAPP @ SV177 @ ( product_prod @ SV90 @ SV177 ) @ ( hAPP @ SV90 @ ( fun @ SV177 @ ( product_prod @ SV90 @ SV177 ) ) @ ( product_Pair @ SV90 @ SV177 ) @ SY917 ) @ SY918 ) ) )
| ! [SY919: $i] : ( hBOOL @ ( hAPP @ ( product_prod @ SV90 @ SV177 ) @ bool @ SV229 @ SY919 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[895]) ).
thf(991,plain,
! [SV92: $i,SV178: $i] :
( ( ( ord @ SV178 )
= $false )
| ( ( ord @ ( fun @ SV92 @ SV178 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[897]) ).
thf(992,plain,
! [SV281: $i,SV230: $i,SV179: $i,SV93: $i] :
( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ ( fun @ SV93 @ SV179 ) @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( inj_on @ SV93 @ SV179 ) @ SV230 ) @ SV281 ) )
| ! [SY997: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ SV93 @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( member @ SV93 ) @ SY997 ) @ SV281 ) )
| ! [SY998: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ SV93 @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( member @ SV93 ) @ SY998 ) @ SV281 ) )
| ( ( hAPP @ SV93 @ SV179 @ SV230 @ SY997 )
!= ( hAPP @ SV93 @ SV179 @ SV230 @ SY998 ) )
| ( ( ti @ SV93 @ SY997 )
= ( ti @ SV93 @ SY998 ) ) ) ) )
| ~ ( ~ ! [SY999: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ SV93 @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( member @ SV93 ) @ SY999 ) @ SV281 ) )
| ! [SY1000: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ SV93 @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( member @ SV93 ) @ SY1000 ) @ SV281 ) )
| ( ( hAPP @ SV93 @ SV179 @ SV230 @ SY999 )
!= ( hAPP @ SV93 @ SV179 @ SV230 @ SY1000 ) )
| ( ( ti @ SV93 @ SY999 )
= ( ti @ SV93 @ SY1000 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ ( fun @ SV93 @ SV179 ) @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( inj_on @ SV93 @ SV179 ) @ SV230 ) @ SV281 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[898]) ).
thf(993,plain,
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ p ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( ord_less @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_992993526_mktop ) @ p ) ) @ e ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( fequal @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ arrow_1726925404_above ) @ p ) ) @ c ) ) @ e ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_844286440_mkbot ) @ p ) ) @ e ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[899]) ).
thf(994,plain,
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( ord_less @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_992993526_mktop ) @ p ) ) @ e ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( fequal @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ arrow_1726925404_above ) @ p ) ) @ c ) ) @ e ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_844286440_mkbot ) @ p ) ) @ e ) ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ p ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[900]) ).
thf(995,plain,
! [SV282: $i,SV94: $i] :
( ( ( ! [SY1001: $i,SY1002: $i] :
( ~ ( hBOOL @ ( hAPP @ SV94 @ bool @ ( hAPP @ SV94 @ ( fun @ SV94 @ bool ) @ ( ord_less @ SV94 ) @ SY1001 ) @ SY1002 ) )
| ~ ( hBOOL @ ( hAPP @ SV94 @ bool @ ( hAPP @ SV94 @ ( fun @ SV94 @ bool ) @ ( ord_less @ SV94 ) @ SV282 ) @ SY1001 ) )
| ( hBOOL @ ( hAPP @ SV94 @ bool @ ( hAPP @ SV94 @ ( fun @ SV94 @ bool ) @ ( ord_less @ SV94 ) @ SV282 ) @ SY1002 ) ) ) )
= $true )
| ( ( order @ SV94 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[901]) ).
thf(996,plain,
! [SV231: $i,SV283: $i,SV180: $i,SV96: $i] :
( ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV96 @ bool ) @ bool @ ( hAPP @ ( fun @ SV96 @ SV180 ) @ ( fun @ ( fun @ SV96 @ bool ) @ bool ) @ ( inj_on @ SV96 @ SV180 ) @ SV283 ) @ ( top_top @ ( fun @ SV96 @ bool ) ) ) )
| ( ( hAPP @ SV180 @ SV96 @ ( hAPP @ ( fun @ SV96 @ SV180 ) @ ( fun @ SV180 @ SV96 ) @ ( hAPP @ ( fun @ SV96 @ bool ) @ ( fun @ ( fun @ SV96 @ SV180 ) @ ( fun @ SV180 @ SV96 ) ) @ ( hilbert_inv_into @ SV96 @ SV180 ) @ ( top_top @ ( fun @ SV96 @ bool ) ) ) @ SV283 ) @ ( hAPP @ SV96 @ SV180 @ SV283 @ SV231 ) )
= ( ti @ SV96 @ SV231 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[903]) ).
thf(997,plain,
! [SV181: $i,SV97: $i,SV232: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV232 ) @ arrow_638930832le_Lin ) ) )
= $true )
| ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV97 )
!= ( ti @ arrow_1212486748le_alt @ SV181 ) ) )
| ~ ( ~ ( ~ ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV97 ) @ SV181 ) ) @ SV232 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV181 ) @ SV97 ) ) @ SV232 ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV181 ) @ SV97 ) ) @ SV232 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV97 ) @ SV181 ) ) @ SV232 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[904]) ).
thf(998,plain,
! [SV284: $i,SV98: $i] :
( ( ( ! [SY1003: $i] :
( ~ ~ ( hBOOL @ ( hAPP @ SV98 @ bool @ ( hAPP @ SV98 @ ( fun @ SV98 @ bool ) @ ( ord_less @ SV98 ) @ SV284 ) @ SY1003 ) )
| ~ ( ~ ( ~ ~ ( hBOOL @ ( hAPP @ SV98 @ bool @ ( hAPP @ SV98 @ ( fun @ SV98 @ bool ) @ ( ord_less @ SV98 ) @ SY1003 ) @ SV284 ) )
| ( ( ti @ SV98 @ SY1003 )
= ( ti @ SV98 @ SV284 ) ) )
| ~ ( ( ( ti @ SV98 @ SY1003 )
!= ( ti @ SV98 @ SV284 ) )
| ~ ( hBOOL @ ( hAPP @ SV98 @ bool @ ( hAPP @ SV98 @ ( fun @ SV98 @ bool ) @ ( ord_less @ SV98 ) @ SY1003 ) @ SV284 ) ) ) ) ) )
= $true )
| ( ( linorder @ SV98 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[905]) ).
thf(999,plain,
! [SV233: $i,SV182: $i,SV99: $i] :
( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV99 @ bool ) @ bool @ ( hAPP @ SV99 @ ( fun @ ( fun @ SV99 @ bool ) @ bool ) @ ( member @ SV99 ) @ SV182 ) @ SV233 ) )
| ( hBOOL @ ( hAPP @ SV99 @ bool @ SV233 @ SV182 ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ SV99 @ bool @ SV233 @ SV182 ) )
| ( hBOOL @ ( hAPP @ ( fun @ SV99 @ bool ) @ bool @ ( hAPP @ SV99 @ ( fun @ ( fun @ SV99 @ bool ) @ bool ) @ ( member @ SV99 ) @ SV182 ) @ SV233 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[906]) ).
thf(1000,plain,
! [SV100: $i] :
( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[907]) ).
thf(1001,plain,
! [SV100: $i] :
( ( ~ ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) ) ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[908]) ).
thf(1002,plain,
! [SV285: $i,SV234: $i,SV183: $i,SV101: $i] :
( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ SV234 ) @ SV285 ) ) )
| ~ ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV101 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV101 )
!= ( ti @ arrow_1212486748le_alt @ SV183 ) ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ SV234 ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV101 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV101 )
!= ( ti @ arrow_1212486748le_alt @ SV183 ) ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ SV234 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ SV234 ) @ SV285 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[909]) ).
thf(1003,plain,
! [SV286: $i,SV102: $i] :
( ( ( ! [SY1004: $i] :
( ~ ( hBOOL @ ( hAPP @ SV102 @ bool @ ( hAPP @ SV102 @ ( fun @ SV102 @ bool ) @ ( ord_less @ SV102 ) @ SV286 ) @ SY1004 ) )
| ~ ( hBOOL @ ( hAPP @ SV102 @ bool @ ( hAPP @ SV102 @ ( fun @ SV102 @ bool ) @ ( ord_less @ SV102 ) @ SY1004 ) @ SV286 ) ) ) )
= $true )
| ( ( preorder @ SV102 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[910]) ).
thf(1004,plain,
! [SV287: $i,SV103: $i] :
( ( ( ! [SY1005: $i] :
~ ( ~ ( ~ ~ ( hBOOL @ ( hAPP @ SV103 @ bool @ ( hAPP @ SV103 @ ( fun @ SV103 @ bool ) @ ( ord_less @ SV103 ) @ SV287 ) @ SY1005 ) )
| ( hBOOL @ ( hAPP @ SV103 @ bool @ ( hAPP @ SV103 @ ( fun @ SV103 @ bool ) @ ( ord_less @ SV103 ) @ SY1005 ) @ SV287 ) )
| ( ( ti @ SV103 @ SV287 )
= ( ti @ SV103 @ SY1005 ) ) )
| ~ ( ~ ( ( hBOOL @ ( hAPP @ SV103 @ bool @ ( hAPP @ SV103 @ ( fun @ SV103 @ bool ) @ ( ord_less @ SV103 ) @ SY1005 ) @ SV287 ) )
| ( ( ti @ SV103 @ SV287 )
= ( ti @ SV103 @ SY1005 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV103 @ bool @ ( hAPP @ SV103 @ ( fun @ SV103 @ bool ) @ ( ord_less @ SV103 ) @ SV287 ) @ SY1005 ) ) ) ) )
= $true )
| ( ( linorder @ SV103 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[911]) ).
thf(1005,plain,
! [SV104: $i,SV184: $i,SV288: $i,SV235: $i] :
( ( ! [SY1006: $i,SY1007: $i] :
( ~ ( ( ( ti @ arrow_1212486748le_alt @ SY1006 )
!= ( ti @ arrow_1212486748le_alt @ SY1007 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV235 )
!= ( ti @ arrow_1212486748le_alt @ SV288 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SY1006 )
!= ( ti @ arrow_1212486748le_alt @ SV288 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SY1007 )
!= ( ti @ arrow_1212486748le_alt @ SV235 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV184 ) @ arrow_1834574746e_Prof ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV104 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY1008: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1006 ) @ SY1007 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV184 @ SY1008 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV104 @ SY1008 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV104 @ SY1008 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1006 ) @ SY1007 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV184 @ SY1008 ) ) ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1006 ) @ SY1007 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV184 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV104 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[912]) ).
thf(1006,plain,
! [SV289: $i,SV105: $i] :
( ( ( ! [SY1009: $i] :
( ~ ( hBOOL @ ( hAPP @ SV105 @ bool @ ( hAPP @ SV105 @ ( fun @ SV105 @ bool ) @ ( ord_less @ SV105 ) @ SV289 ) @ SY1009 ) )
| ( SV289 != SY1009 ) ) )
= $true )
| ( ( order @ SV105 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[913]) ).
thf(1007,plain,
! [SV106: $i,SV185: $i,SV236: $i,SV290: $i] :
( ( ! [SY1010: $i] :
( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
!= ( ti @ arrow_1212486748le_alt @ SY1010 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SY1010 )
!= ( ti @ arrow_1212486748le_alt @ SV236 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
!= ( ti @ arrow_1212486748le_alt @ SV236 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV185 ) @ arrow_1834574746e_Prof ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV106 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY1011: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SY1010 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ SY1011 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1010 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ SY1011 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1010 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ SY1011 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SY1010 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ SY1011 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SY1010 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1010 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1010 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SY1010 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[914]) ).
thf(1008,plain,
! [SV291: $i,SV107: $i] :
( ( ( ! [SY1012: $i] :
( ( hBOOL @ ( hAPP @ SV107 @ bool @ ( hAPP @ SV107 @ ( fun @ SV107 @ bool ) @ ( ord_less @ SV107 ) @ SV291 ) @ SY1012 ) )
| ( ( ti @ SV107 @ SV291 )
= ( ti @ SV107 @ SY1012 ) )
| ( hBOOL @ ( hAPP @ SV107 @ bool @ ( hAPP @ SV107 @ ( fun @ SV107 @ bool ) @ ( ord_less @ SV107 ) @ SY1012 ) @ SV291 ) ) ) )
= $true )
| ( ( linorder @ SV107 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[915]) ).
thf(1009,plain,
! [SV108: $i,SV186: $i] :
( ( ( preorder @ SV186 )
= $false )
| ( ( preorder @ ( fun @ SV108 @ SV186 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[916]) ).
thf(1010,plain,
! [SV292: $i,SV237: $i,SV187: $i,SV109: $i] :
( ( ! [SY1013: $i,SY1014: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV109 @ bool ) @ bool @ ( hAPP @ ( fun @ SV109 @ SV187 ) @ ( fun @ ( fun @ SV109 @ bool ) @ bool ) @ ( inj_on @ SV109 @ SV187 ) @ SY1013 ) @ SY1014 ) )
| ( ( hAPP @ SV109 @ SV187 @ SY1013 @ SV237 )
!= ( hAPP @ SV109 @ SV187 @ SY1013 @ SV292 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV109 @ bool ) @ bool @ ( hAPP @ SV109 @ ( fun @ ( fun @ SV109 @ bool ) @ bool ) @ ( member @ SV109 ) @ SV237 ) @ SY1014 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV109 @ bool ) @ bool @ ( hAPP @ SV109 @ ( fun @ ( fun @ SV109 @ bool ) @ bool ) @ ( member @ SV109 ) @ SV292 ) @ SY1014 ) )
| ( ( ti @ SV109 @ SV237 )
= ( ti @ SV109 @ SV292 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[917]) ).
thf(1011,plain,
! [SV293: $i,SV110: $i] :
( ( ( ! [SY1015: $i] :
( ~ ( hBOOL @ ( hAPP @ SV110 @ bool @ ( hAPP @ SV110 @ ( fun @ SV110 @ bool ) @ ( ord_less @ SV110 ) @ SV293 ) @ SY1015 ) )
| ~ ( hBOOL @ ( hAPP @ SV110 @ bool @ ( hAPP @ SV110 @ ( fun @ SV110 @ bool ) @ ( ord_less @ SV110 ) @ SY1015 ) @ SV293 ) ) ) )
= $true )
| ( ( preorder @ SV110 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[918]) ).
thf(1012,plain,
! [SV294: $i,SV111: $i] :
( ( ( ! [SY1016: $i,SY1017: $i] :
( ~ ( hBOOL @ ( hAPP @ SV111 @ bool @ ( hAPP @ SV111 @ ( fun @ SV111 @ bool ) @ ( ord_less @ SV111 ) @ SY1016 ) @ SY1017 ) )
| ~ ( hBOOL @ ( hAPP @ SV111 @ bool @ ( hAPP @ SV111 @ ( fun @ SV111 @ bool ) @ ( ord_less @ SV111 ) @ SY1017 ) @ SY1016 ) )
| ( hBOOL @ SV294 ) ) )
= $true )
| ( ( preorder @ SV111 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[919]) ).
thf(1013,plain,
! [SV295: $i,SV113: $i] :
( ( ( ~ ( ~ ( ~ ( ( ( ti @ SV113 @ SV295 )
!= ( top_top @ SV113 ) ) )
| ( hBOOL @ ( hAPP @ SV113 @ bool @ ( hAPP @ SV113 @ ( fun @ SV113 @ bool ) @ ( ord_less @ SV113 ) @ SV295 ) @ ( top_top @ SV113 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ SV113 @ bool @ ( hAPP @ SV113 @ ( fun @ SV113 @ bool ) @ ( ord_less @ SV113 ) @ SV295 ) @ ( top_top @ SV113 ) ) )
| ( ( ti @ SV113 @ SV295 )
!= ( top_top @ SV113 ) ) ) ) )
= $true )
| ( ( top @ SV113 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[921]) ).
thf(1014,plain,
! [SV296: $i,SV238: $i,SV188: $i,SV114: $i] :
( ( ~ ! [SY1018: $i] :
( ( hAPP @ SV114 @ SV188 @ SV238 @ SY1018 )
= ( hAPP @ SV114 @ SV188 @ SV296 @ SY1018 ) )
| ( ( ti @ ( fun @ SV114 @ SV188 ) @ SV238 )
= ( ti @ ( fun @ SV114 @ SV188 ) @ SV296 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[922]) ).
thf(1015,plain,
! [SV297: $i,SV115: $i] :
( ( ( ! [SY1019: $i] :
( ~ ( hBOOL @ ( hAPP @ SV115 @ bool @ ( hAPP @ SV115 @ ( fun @ SV115 @ bool ) @ ( ord_less @ SV115 ) @ SV297 ) @ SY1019 ) )
| ( SV297 != SY1019 ) ) )
= $true )
| ( ( order @ SV115 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[923]) ).
thf(1016,plain,
! [SV298: $i,SV242: $i,SV196: $i,SV131: $i,SV22: $i] :
( ( ! [SY1020: $i] :
( ( hAPP @ ( product_prod @ SV22 @ SV131 ) @ SV196 @ ( hAPP @ ( fun @ SV22 @ ( fun @ SV131 @ SV196 ) ) @ ( fun @ ( product_prod @ SV22 @ SV131 ) @ SV196 ) @ ( product_prod_rec @ SV22 @ SV131 @ SV196 ) @ SV242 ) @ ( hAPP @ SV131 @ ( product_prod @ SV22 @ SV131 ) @ ( hAPP @ SV22 @ ( fun @ SV131 @ ( product_prod @ SV22 @ SV131 ) ) @ ( product_Pair @ SV22 @ SV131 ) @ SV298 ) @ SY1020 ) )
= ( hAPP @ SV131 @ SV196 @ ( hAPP @ SV22 @ ( fun @ SV131 @ SV196 ) @ SV242 @ SV298 ) @ SY1020 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[927]) ).
thf(1017,plain,
! [SV299: $i,SV243: $i,SV200: $i,SV139: $i,SV33: $i] :
( ( ! [SY1021: $i] :
( ( hAPP @ SV33 @ SV139 @ ( hAPP @ ( fun @ SV33 @ SV200 ) @ ( fun @ SV33 @ SV139 ) @ ( hAPP @ ( fun @ SV200 @ SV139 ) @ ( fun @ ( fun @ SV33 @ SV200 ) @ ( fun @ SV33 @ SV139 ) ) @ ( combb @ SV200 @ SV139 @ SV33 ) @ SV243 ) @ SV299 ) @ SY1021 )
= ( hAPP @ SV200 @ SV139 @ SV243 @ ( hAPP @ SV33 @ SV200 @ SV299 @ SY1021 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[928]) ).
thf(1018,plain,
! [SV300: $i,SV244: $i,SV201: $i,SV140: $i,SV34: $i] :
( ( ! [SY1022: $i] :
( ( hAPP @ SV34 @ SV140 @ ( hAPP @ SV201 @ ( fun @ SV34 @ SV140 ) @ ( hAPP @ ( fun @ SV34 @ ( fun @ SV201 @ SV140 ) ) @ ( fun @ SV201 @ ( fun @ SV34 @ SV140 ) ) @ ( combc @ SV34 @ SV201 @ SV140 ) @ SV244 ) @ SV300 ) @ SY1022 )
= ( hAPP @ SV201 @ SV140 @ ( hAPP @ SV34 @ ( fun @ SV201 @ SV140 ) @ SV244 @ SY1022 ) @ SV300 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[929]) ).
thf(1019,plain,
! [SV301: $i,SV246: $i,SV203: $i,SV143: $i,SV37: $i] :
( ( ! [SY1023: $i] :
( ( hAPP @ SV37 @ SV143 @ ( hAPP @ ( fun @ SV37 @ SV203 ) @ ( fun @ SV37 @ SV143 ) @ ( hAPP @ ( fun @ SV37 @ ( fun @ SV203 @ SV143 ) ) @ ( fun @ ( fun @ SV37 @ SV203 ) @ ( fun @ SV37 @ SV143 ) ) @ ( combs @ SV37 @ SV203 @ SV143 ) @ SV246 ) @ SV301 ) @ SY1023 )
= ( hAPP @ SV203 @ SV143 @ ( hAPP @ SV37 @ ( fun @ SV203 @ SV143 ) @ SV246 @ SY1023 ) @ ( hAPP @ SV37 @ SV203 @ SV301 @ SY1023 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[931]) ).
thf(1020,plain,
! [SV204: $i,SV144: $i,SV39: $i] :
( ( ( hBOOL @ ( hAPP @ SV39 @ bool @ ( hAPP @ SV39 @ ( fun @ SV39 @ bool ) @ ( fequal @ SV39 ) @ SV144 ) @ SV204 ) )
= $false )
| ( ( ( ti @ SV39 @ SV144 )
= ( ti @ SV39 @ SV204 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[932]) ).
thf(1021,plain,
! [SV247: $i,SV205: $i,SV302: $i,SV145: $i,SV40: $i] :
( ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV40 @ bool ) @ bool @ ( hAPP @ ( fun @ SV40 @ SV145 ) @ ( fun @ ( fun @ SV40 @ bool ) @ bool ) @ ( inj_on @ SV40 @ SV145 ) @ SV302 ) @ ( top_top @ ( fun @ SV40 @ bool ) ) ) )
| ( ( hAPP @ SV40 @ SV145 @ SV302 @ SV205 )
!= ( hAPP @ SV40 @ SV145 @ SV302 @ SV247 ) )
| ( ( ti @ SV40 @ SV205 )
= ( ti @ SV40 @ SV247 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[933]) ).
thf(1022,plain,
! [SV146: $i,SV41: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV41 )
= ( ti @ arrow_1212486748le_alt @ SV146 ) )
= $true )
| ( ( ~ ! [SY725: $i] :
~ ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SY725 ) @ arrow_638930832le_Lin ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV41 ) @ SV146 ) ) @ SY725 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[934]) ).
thf(1023,plain,
! [SV43: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_1932713123nimity @ SV43 ) ) )
= $true )
| ( ( ! [SY462: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SY462 ) @ arrow_1834574746e_Prof ) )
| ! [SY463: $i,SY464: $i] :
( ~ ! [SX4: $i] : ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY463 ) @ SY464 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY462 @ SX4 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY463 ) @ SY464 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV43 @ SY462 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[936]) ).
thf(1024,plain,
! [SV43: $i] :
( ( ( ~ ! [SY466: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SY466 ) @ arrow_1834574746e_Prof ) )
| ! [SY467: $i,SY468: $i] :
( ~ ! [SX4: $i] : ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY467 ) @ SY468 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY466 @ SX4 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY467 ) @ SY468 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV43 @ SY466 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_1932713123nimity @ SV43 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[937]) ).
thf(1025,plain,
! [SV44: $i,SV248: $i,SV206: $i,SV148: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV148 @ bool ) @ bool @ ( hAPP @ ( fun @ SV148 @ SV206 ) @ ( fun @ ( fun @ SV148 @ bool ) @ bool ) @ ( inj_on @ SV148 @ SV206 ) @ SV248 ) @ ( top_top @ ( fun @ SV148 @ bool ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV148 @ bool ) @ bool @ ( hAPP @ ( fun @ SV148 @ ( fun @ SV44 @ SV206 ) ) @ ( fun @ ( fun @ SV148 @ bool ) @ bool ) @ ( inj_on @ SV148 @ ( fun @ SV44 @ SV206 ) ) @ ( hAPP @ ( fun @ SV148 @ SV206 ) @ ( fun @ SV148 @ ( fun @ SV44 @ SV206 ) ) @ ( hAPP @ ( fun @ SV206 @ ( fun @ SV44 @ SV206 ) ) @ ( fun @ ( fun @ SV148 @ SV206 ) @ ( fun @ SV148 @ ( fun @ SV44 @ SV206 ) ) ) @ ( combb @ SV206 @ ( fun @ SV44 @ SV206 ) @ SV148 ) @ ( combk @ SV206 @ SV44 ) ) @ SV248 ) ) @ ( top_top @ ( fun @ SV148 @ bool ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[938]) ).
thf(1026,plain,
! [SV207: $i,SV303: $i,SV249: $i,SV150: $i,SV46: $i] :
( ( ! [SY1024: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ SV46 @ SV150 ) @ bool ) @ bool @ ( hAPP @ ( fun @ SV46 @ SV150 ) @ ( fun @ ( fun @ ( fun @ SV46 @ SV150 ) @ bool ) @ bool ) @ ( member @ ( fun @ SV46 @ SV150 ) ) @ SV249 ) @ ( hAPP @ ( fun @ SV46 @ ( fun @ SV150 @ bool ) ) @ ( fun @ ( fun @ SV46 @ SV150 ) @ bool ) @ ( hAPP @ ( fun @ SV46 @ bool ) @ ( fun @ ( fun @ SV46 @ ( fun @ SV150 @ bool ) ) @ ( fun @ ( fun @ SV46 @ SV150 ) @ bool ) ) @ ( pi @ SV46 @ SV150 ) @ SV303 ) @ SY1024 ) ) )
| ~ ~ ( hBOOL @ ( hAPP @ ( fun @ SV150 @ bool ) @ bool @ ( hAPP @ SV150 @ ( fun @ ( fun @ SV150 @ bool ) @ bool ) @ ( member @ SV150 ) @ ( hAPP @ SV46 @ SV150 @ SV249 @ SV207 ) ) @ ( hAPP @ SV46 @ ( fun @ SV150 @ bool ) @ SY1024 @ SV207 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV46 @ bool ) @ bool @ ( hAPP @ SV46 @ ( fun @ ( fun @ SV46 @ bool ) @ bool ) @ ( member @ SV46 ) @ SV207 ) @ SV303 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[940]) ).
thf(1027,plain,
! [SV208: $i,SV304: $i,SV250: $i,SV151: $i,SV47: $i] :
( ( ! [SY1025: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ SV47 @ SV151 ) @ bool ) @ bool @ ( hAPP @ ( fun @ SV47 @ SV151 ) @ ( fun @ ( fun @ ( fun @ SV47 @ SV151 ) @ bool ) @ bool ) @ ( member @ ( fun @ SV47 @ SV151 ) ) @ SV250 ) @ ( hAPP @ ( fun @ SV47 @ ( fun @ SV151 @ bool ) ) @ ( fun @ ( fun @ SV47 @ SV151 ) @ bool ) @ ( hAPP @ ( fun @ SV47 @ bool ) @ ( fun @ ( fun @ SV47 @ ( fun @ SV151 @ bool ) ) @ ( fun @ ( fun @ SV47 @ SV151 ) @ bool ) ) @ ( pi @ SV47 @ SV151 ) @ SV304 ) @ SY1025 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV47 @ bool ) @ bool @ ( hAPP @ SV47 @ ( fun @ ( fun @ SV47 @ bool ) @ bool ) @ ( member @ SV47 ) @ SV208 ) @ SV304 ) )
| ( hBOOL @ ( hAPP @ ( fun @ SV151 @ bool ) @ bool @ ( hAPP @ SV151 @ ( fun @ ( fun @ SV151 @ bool ) @ bool ) @ ( member @ SV151 ) @ ( hAPP @ SV47 @ SV151 @ SV250 @ SV208 ) ) @ ( hAPP @ SV47 @ ( fun @ SV151 @ bool ) @ SY1025 @ SV208 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[941]) ).
thf(1028,plain,
! [SV305: $i,SV251: $i,SV209: $i,SV152: $i,SV48: $i] :
( ( ! [SY1026: $i] :
~ ( ~ ( ( ( hAPP @ SV48 @ ( product_prod @ SV152 @ SV48 ) @ ( hAPP @ SV152 @ ( fun @ SV48 @ ( product_prod @ SV152 @ SV48 ) ) @ ( product_Pair @ SV152 @ SV48 ) @ SV209 ) @ SV251 )
!= ( hAPP @ SV48 @ ( product_prod @ SV152 @ SV48 ) @ ( hAPP @ SV152 @ ( fun @ SV48 @ ( product_prod @ SV152 @ SV48 ) ) @ ( product_Pair @ SV152 @ SV48 ) @ SV305 ) @ SY1026 ) )
| ~ ( ( ( ti @ SV152 @ SV209 )
!= ( ti @ SV152 @ SV305 ) )
| ( ( ti @ SV48 @ SV251 )
!= ( ti @ SV48 @ SY1026 ) ) ) )
| ~ ( ~ ~ ( ( ( ti @ SV152 @ SV209 )
!= ( ti @ SV152 @ SV305 ) )
| ( ( ti @ SV48 @ SV251 )
!= ( ti @ SV48 @ SY1026 ) ) )
| ( ( hAPP @ SV48 @ ( product_prod @ SV152 @ SV48 ) @ ( hAPP @ SV152 @ ( fun @ SV48 @ ( product_prod @ SV152 @ SV48 ) ) @ ( product_Pair @ SV152 @ SV48 ) @ SV209 ) @ SV251 )
= ( hAPP @ SV48 @ ( product_prod @ SV152 @ SV48 ) @ ( hAPP @ SV152 @ ( fun @ SV48 @ ( product_prod @ SV152 @ SV48 ) ) @ ( product_Pair @ SV152 @ SV48 ) @ SV305 ) @ SY1026 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[942]) ).
thf(1029,plain,
! [SV153: $i,SV49: $i] :
( ( ( ~ ! [SY740: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SY740 ) @ arrow_1834574746e_Prof ) )
| ! [SY741: $i,SY742: $i] :
( ~ ( ( ( ti @ arrow_1212486748le_alt @ SY741 )
!= ( ti @ arrow_1212486748le_alt @ SY742 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY741 ) @ SY742 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY740 @ SV49 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY741 ) @ SY742 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV153 @ SY740 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ arrow_1384031255e_indi @ bool @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ bool ) @ arrow_1990387629ctator @ SV153 ) @ SV49 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV153 ) @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) ) @ ( pi @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1834574746e_Prof ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( combk @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_638930832le_Lin ) ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[943]) ).
thf(1030,plain,
! [SV210: $i,SV252: $i,SV154: $i,SV50: $i] :
( ( ~ ( ~ ! [SY954: $i,SY955: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SY954 ) @ SY955 ) ) @ SV252 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SY954 ) @ SY955 ) ) @ SV210 ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SY954 ) @ SY955 ) ) @ SV210 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SY954 ) @ SY955 ) ) @ SV252 ) ) ) )
| ( ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV252 )
= ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV210 ) ) )
| ~ ( ( ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV252 )
!= ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV210 ) )
| ! [SY956: $i,SY957: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SY956 ) @ SY957 ) ) @ SV252 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SY956 ) @ SY957 ) ) @ SV210 ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SY956 ) @ SY957 ) ) @ SV210 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SY956 ) @ SY957 ) ) @ SV252 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[944]) ).
thf(1031,plain,
! [SV155: $i,SV51: $i,SV211: $i,SV306: $i,SV253: $i] :
( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
| ~ ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV155 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV253 ) @ SV155 ) ) @ SV211 ) ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV253 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV253 ) ) @ SV211 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) ) ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV155 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV253 ) @ SV155 ) ) @ SV211 ) ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV253 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV253 ) ) @ SV211 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) ) ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[945]) ).
thf(1032,plain,
! [SV254: $i,SV212: $i,SV307: $i,SV156: $i,SV52: $i] :
( ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV52 @ bool ) @ bool @ ( hAPP @ ( fun @ SV52 @ SV156 ) @ ( fun @ ( fun @ SV52 @ bool ) @ bool ) @ ( inj_on @ SV52 @ SV156 ) @ SV307 ) @ ( top_top @ ( fun @ SV52 @ bool ) ) ) )
| ~ ( ~ ( ( ( hAPP @ SV52 @ SV156 @ SV307 @ SV212 )
!= ( hAPP @ SV52 @ SV156 @ SV307 @ SV254 ) )
| ( ( ti @ SV52 @ SV212 )
= ( ti @ SV52 @ SV254 ) ) )
| ~ ( ( ( ti @ SV52 @ SV212 )
!= ( ti @ SV52 @ SV254 ) )
| ( ( hAPP @ SV52 @ SV156 @ SV307 @ SV212 )
= ( hAPP @ SV52 @ SV156 @ SV307 @ SV254 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[946]) ).
thf(1033,plain,
! [SV213: $i,SV308: $i,SV255: $i,SV157: $i,SV53: $i] :
( ( ! [SY1027: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ SV53 @ SV157 ) @ bool ) @ bool @ ( hAPP @ ( fun @ SV53 @ SV157 ) @ ( fun @ ( fun @ ( fun @ SV53 @ SV157 ) @ bool ) @ bool ) @ ( member @ ( fun @ SV53 @ SV157 ) ) @ SV255 ) @ ( hAPP @ ( fun @ SV53 @ ( fun @ SV157 @ bool ) ) @ ( fun @ ( fun @ SV53 @ SV157 ) @ bool ) @ ( hAPP @ ( fun @ SV53 @ bool ) @ ( fun @ ( fun @ SV53 @ ( fun @ SV157 @ bool ) ) @ ( fun @ ( fun @ SV53 @ SV157 ) @ bool ) ) @ ( pi @ SV53 @ SV157 ) @ SV308 ) @ ( hAPP @ ( fun @ SV157 @ bool ) @ ( fun @ SV53 @ ( fun @ SV157 @ bool ) ) @ ( combk @ ( fun @ SV157 @ bool ) @ SV53 ) @ SY1027 ) ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV53 @ bool ) @ bool @ ( hAPP @ SV53 @ ( fun @ ( fun @ SV53 @ bool ) @ bool ) @ ( member @ SV53 ) @ SV213 ) @ SV308 ) )
| ( hBOOL @ ( hAPP @ ( fun @ SV157 @ bool ) @ bool @ ( hAPP @ SV157 @ ( fun @ ( fun @ SV157 @ bool ) @ bool ) @ ( member @ SV157 ) @ ( hAPP @ SV53 @ SV157 @ SV255 @ SV213 ) ) @ SY1027 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[947]) ).
thf(1034,plain,
! [SV54: $i,SV158: $i,SV256: $i,SV214: $i,SV309: $i] :
( ( ! [SY1028: $i] :
( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV309 )
!= ( ti @ arrow_1212486748le_alt @ SY1028 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV214 )
!= ( ti @ arrow_1212486748le_alt @ SV256 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV158 ) @ arrow_1834574746e_Prof ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV54 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY1029: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SY1028 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ SY1029 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ SY1029 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ SY1029 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SY1028 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ SY1029 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SY1028 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SY1028 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[948]) ).
thf(1035,plain,
! [SV55: $i] :
( ( ( ~ ( hBOOL @ ( ti @ bool @ SV55 ) ) )
= $true )
| ( ( hBOOL @ SV55 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[949]) ).
thf(1036,plain,
! [SV55: $i] :
( ( ( ~ ( hBOOL @ SV55 ) )
= $true )
| ( ( hBOOL @ ( ti @ bool @ SV55 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[950]) ).
thf(1037,plain,
! [SV215: $i,SV310: $i,SV257: $i,SV159: $i,SV56: $i] :
( ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV56 @ bool ) @ bool @ ( hAPP @ ( fun @ SV56 @ SV159 ) @ ( fun @ ( fun @ SV56 @ bool ) @ bool ) @ ( inj_on @ SV56 @ SV159 ) @ SV257 ) @ SV310 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV56 @ bool ) @ bool @ ( hAPP @ SV56 @ ( fun @ ( fun @ SV56 @ bool ) @ bool ) @ ( member @ SV56 ) @ SV215 ) @ SV310 ) )
| ( ( hAPP @ SV159 @ SV56 @ ( hAPP @ ( fun @ SV56 @ SV159 ) @ ( fun @ SV159 @ SV56 ) @ ( hAPP @ ( fun @ SV56 @ bool ) @ ( fun @ ( fun @ SV56 @ SV159 ) @ ( fun @ SV159 @ SV56 ) ) @ ( hilbert_inv_into @ SV56 @ SV159 ) @ SV310 ) @ SV257 ) @ ( hAPP @ SV56 @ SV159 @ SV257 @ SV215 ) )
= ( ti @ SV56 @ SV215 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[951]) ).
thf(1038,plain,
! [SV258: $i,SV57: $i,SV311: $i] :
( ( ( ! [SY1030: $i] :
( ( SV311 != SY1030 )
| ~ ( hBOOL @ ( hAPP @ SV57 @ bool @ ( hAPP @ SV57 @ ( fun @ SV57 @ bool ) @ ( ord_less @ SV57 ) @ SY1030 ) @ SV258 ) )
| ( hBOOL @ ( hAPP @ SV57 @ bool @ ( hAPP @ SV57 @ ( fun @ SV57 @ bool ) @ ( ord_less @ SV57 ) @ SV311 ) @ SV258 ) ) ) )
= $true )
| ( ( ord @ SV57 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[952]) ).
thf(1039,plain,
! [SV259: $i,SV58: $i] :
( ( ( hBOOL @ ( hAPP @ SV58 @ bool @ ( hAPP @ SV58 @ ( fun @ SV58 @ bool ) @ ( ord_less @ SV58 ) @ SV259 ) @ SV259 ) )
= $false )
| ( ( preorder @ SV58 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[953]) ).
thf(1040,plain,
! [SV59: $i,SV160: $i,SV260: $i,SV216: $i] :
( ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV216 )
!= ( ti @ arrow_1212486748le_alt @ SV260 ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV160 ) @ arrow_1834574746e_Prof ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV59 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY968: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ SY968 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ SY968 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ SY968 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ SY968 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[954]) ).
thf(1041,plain,
! [SV312: $i,SV261: $i,SV60: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV60 @ bool @ ( hAPP @ SV60 @ ( fun @ SV60 @ bool ) @ ( ord_less @ SV60 ) @ SV261 ) @ SV312 ) )
| ~ ( hBOOL @ ( hAPP @ SV60 @ bool @ ( hAPP @ SV60 @ ( fun @ SV60 @ bool ) @ ( ord_less @ SV60 ) @ SV312 ) @ SV261 ) ) )
= $true )
| ( ( preorder @ SV60 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[955]) ).
thf(1042,plain,
! [SV313: $i,SV262: $i,SV61: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV61 @ bool @ ( hAPP @ SV61 @ ( fun @ SV61 @ bool ) @ ( ord_less @ SV61 ) @ SV262 ) @ SV313 ) )
| ~ ( hBOOL @ ( hAPP @ SV61 @ bool @ ( hAPP @ SV61 @ ( fun @ SV61 @ bool ) @ ( ord_less @ SV61 ) @ SV313 ) @ SV262 ) ) )
= $true )
| ( ( order @ SV61 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[956]) ).
thf(1043,plain,
! [SV263: $i,SV217: $i,SV314: $i,SV161: $i,SV62: $i] :
( ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV62 @ bool ) @ bool @ ( hAPP @ ( fun @ SV62 @ SV161 ) @ ( fun @ ( fun @ SV62 @ bool ) @ bool ) @ ( inj_on @ SV62 @ SV161 ) @ SV314 ) @ ( top_top @ ( fun @ SV62 @ bool ) ) ) )
| ( ( hAPP @ SV62 @ SV161 @ SV314 @ SV217 )
!= ( ti @ SV161 @ SV263 ) )
| ( ( hAPP @ SV161 @ SV62 @ ( hAPP @ ( fun @ SV62 @ SV161 ) @ ( fun @ SV161 @ SV62 ) @ ( hAPP @ ( fun @ SV62 @ bool ) @ ( fun @ ( fun @ SV62 @ SV161 ) @ ( fun @ SV161 @ SV62 ) ) @ ( hilbert_inv_into @ SV62 @ SV161 ) @ ( top_top @ ( fun @ SV62 @ bool ) ) ) @ SV314 ) @ SV263 )
= ( ti @ SV62 @ SV217 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[957]) ).
thf(1044,plain,
! [SV315: $i,SV162: $i,SV63: $i] :
( ( ( ( hAPP @ SV63 @ SV162 @ ( top_top @ ( fun @ SV63 @ SV162 ) ) @ SV315 )
= ( top_top @ SV162 ) )
= $true )
| ( ( top @ SV162 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[958]) ).
thf(1045,plain,
! [SV264: $i,SV316: $i,SV64: $i] :
( ( ( ! [SY1031: $i] :
( ~ ( hBOOL @ ( hAPP @ SV64 @ bool @ ( hAPP @ SV64 @ ( fun @ SV64 @ bool ) @ ( ord_less @ SV64 ) @ SV316 ) @ SY1031 ) )
| ~ ( hBOOL @ ( hAPP @ SV64 @ bool @ ( hAPP @ SV64 @ ( fun @ SV64 @ bool ) @ ( ord_less @ SV64 ) @ SY1031 ) @ SV264 ) )
| ( hBOOL @ ( hAPP @ SV64 @ bool @ ( hAPP @ SV64 @ ( fun @ SV64 @ bool ) @ ( ord_less @ SV64 ) @ SV316 ) @ SV264 ) ) ) )
= $true )
| ( ( preorder @ SV64 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[959]) ).
thf(1046,plain,
! [SV317: $i,SV265: $i,SV218: $i,SV163: $i,SV65: $i] :
( ( ! [SY1032: $i] :
( ( ( hAPP @ SV65 @ ( product_prod @ SV163 @ SV65 ) @ ( hAPP @ SV163 @ ( fun @ SV65 @ ( product_prod @ SV163 @ SV65 ) ) @ ( product_Pair @ SV163 @ SV65 ) @ SV218 ) @ SV265 )
!= ( hAPP @ SV65 @ ( product_prod @ SV163 @ SV65 ) @ ( hAPP @ SV163 @ ( fun @ SV65 @ ( product_prod @ SV163 @ SV65 ) ) @ ( product_Pair @ SV163 @ SV65 ) @ SV317 ) @ SY1032 ) )
| ~ ( ( ( ti @ SV163 @ SV218 )
!= ( ti @ SV163 @ SV317 ) )
| ( ( ti @ SV65 @ SV265 )
!= ( ti @ SV65 @ SY1032 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[960]) ).
thf(1047,plain,
! [SV318: $i,SV266: $i,SV67: $i] :
( ( ( ~ ( ~ ( ~ ( ( ( ti @ SV67 @ SV266 )
!= ( ti @ SV67 @ SV318 ) ) )
| ( hBOOL @ ( hAPP @ SV67 @ bool @ ( hAPP @ SV67 @ ( fun @ SV67 @ bool ) @ ( ord_less @ SV67 ) @ SV266 ) @ SV318 ) )
| ( hBOOL @ ( hAPP @ SV67 @ bool @ ( hAPP @ SV67 @ ( fun @ SV67 @ bool ) @ ( ord_less @ SV67 ) @ SV318 ) @ SV266 ) ) )
| ~ ( ~ ( ( hBOOL @ ( hAPP @ SV67 @ bool @ ( hAPP @ SV67 @ ( fun @ SV67 @ bool ) @ ( ord_less @ SV67 ) @ SV266 ) @ SV318 ) )
| ( hBOOL @ ( hAPP @ SV67 @ bool @ ( hAPP @ SV67 @ ( fun @ SV67 @ bool ) @ ( ord_less @ SV67 ) @ SV318 ) @ SV266 ) ) )
| ( ( ti @ SV67 @ SV266 )
!= ( ti @ SV67 @ SV318 ) ) ) ) )
= $true )
| ( ( linorder @ SV67 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[962]) ).
thf(1048,plain,
! [SV267: $i,SV319: $i,SV68: $i] :
( ( ( ! [SY1033: $i] :
( ~ ( hBOOL @ ( hAPP @ SV68 @ bool @ ( hAPP @ SV68 @ ( fun @ SV68 @ bool ) @ ( ord_less @ SV68 ) @ SV319 ) @ SY1033 ) )
| ( SV319 != SV267 )
| ( hBOOL @ ( hAPP @ SV68 @ bool @ ( hAPP @ SV68 @ ( fun @ SV68 @ bool ) @ ( ord_less @ SV68 ) @ SV267 ) @ SY1033 ) ) ) )
= $true )
| ( ( order @ SV68 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[963]) ).
thf(1049,plain,
! [SV219: $i,SV268: $i,SV320: $i,SV165: $i,SV69: $i] :
( ( ! [SY1034: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV69 @ bool ) @ bool @ ( hAPP @ ( fun @ SV69 @ SV165 ) @ ( fun @ ( fun @ SV69 @ bool ) @ bool ) @ ( inj_on @ SV69 @ SV165 ) @ SV320 ) @ SY1034 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV69 @ bool ) @ bool @ ( hAPP @ SV69 @ ( fun @ ( fun @ SV69 @ bool ) @ bool ) @ ( member @ SV69 ) @ SV268 ) @ SY1034 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV69 @ bool ) @ bool @ ( hAPP @ SV69 @ ( fun @ ( fun @ SV69 @ bool ) @ bool ) @ ( member @ SV69 ) @ SV219 ) @ SY1034 ) )
| ~ ( ~ ( ( ( hAPP @ SV69 @ SV165 @ SV320 @ SV268 )
!= ( hAPP @ SV69 @ SV165 @ SV320 @ SV219 ) )
| ( ( ti @ SV69 @ SV268 )
= ( ti @ SV69 @ SV219 ) ) )
| ~ ( ( ( ti @ SV69 @ SV268 )
!= ( ti @ SV69 @ SV219 ) )
| ( ( hAPP @ SV69 @ SV165 @ SV320 @ SV268 )
= ( hAPP @ SV69 @ SV165 @ SV320 @ SV219 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[964]) ).
thf(1050,plain,
! [SV166: $i,SV70: $i] :
( ( ~ ( hBOOL @ ( hAPP @ arrow_1384031255e_indi @ bool @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ bool ) @ arrow_1990387629ctator @ SV70 ) @ SV166 ) )
| ! [SY782: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SY782 ) @ arrow_1834574746e_Prof ) )
| ( ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV70 @ SY782 )
= ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY782 @ SV166 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[965]) ).
thf(1051,plain,
! [SV166: $i,SV70: $i] :
( ( ~ ! [SY783: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SY783 ) @ arrow_1834574746e_Prof ) )
| ( ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV70 @ SY783 )
= ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY783 @ SV166 ) ) )
| ( hBOOL @ ( hAPP @ arrow_1384031255e_indi @ bool @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ bool ) @ arrow_1990387629ctator @ SV70 ) @ SV166 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[966]) ).
thf(1052,plain,
! [SV321: $i,SV269: $i,SV71: $i] :
( ( ( ~ ( ( ( ti @ SV71 @ SV269 )
!= ( ti @ SV71 @ SV321 ) ) )
| ~ ~ ( hBOOL @ ( hAPP @ SV71 @ bool @ ( hAPP @ SV71 @ ( fun @ SV71 @ bool ) @ ( ord_less @ SV71 ) @ SV269 ) @ SV321 ) )
| ( hBOOL @ ( hAPP @ SV71 @ bool @ ( hAPP @ SV71 @ ( fun @ SV71 @ bool ) @ ( ord_less @ SV71 ) @ SV321 ) @ SV269 ) ) )
= $true )
| ( ( linorder @ SV71 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[967]) ).
thf(1053,plain,
! [SV322: $i,SV270: $i,SV72: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV72 @ bool @ ( hAPP @ SV72 @ ( fun @ SV72 @ bool ) @ ( ord_less @ SV72 ) @ SV270 ) @ SV322 ) )
| ( SV322 != SV270 ) )
= $true )
| ( ( order @ SV72 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[968]) ).
thf(1054,plain,
! [SV271: $i,SV73: $i] :
( ( ( hBOOL @ ( hAPP @ SV73 @ bool @ ( hAPP @ SV73 @ ( fun @ SV73 @ bool ) @ ( ord_less @ SV73 ) @ ( top_top @ SV73 ) ) @ SV271 ) )
= $false )
| ( ( top @ SV73 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[969]) ).
thf(1055,plain,
! [SV323: $i,SV272: $i,SV74: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV74 @ bool @ ( hAPP @ SV74 @ ( fun @ SV74 @ bool ) @ ( ord_less @ SV74 ) @ SV272 ) @ SV323 ) )
| ~ ( hBOOL @ ( hAPP @ SV74 @ bool @ ( hAPP @ SV74 @ ( fun @ SV74 @ bool ) @ ( ord_less @ SV74 ) @ SV323 ) @ SV272 ) ) )
= $true )
| ( ( preorder @ SV74 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[970]) ).
thf(1056,plain,
! [SV75: $i] :
( ( ( ~ ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[971]) ).
thf(1057,plain,
! [SV75: $i] :
( ( ( ~ ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[972]) ).
thf(1058,plain,
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( ord_less @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_992993526_mktop ) @ p ) ) @ e ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( fequal @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ arrow_1726925404_above ) @ p ) ) @ c ) ) @ e ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_844286440_mkbot ) @ p ) ) @ e ) ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combc @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( ord_less @ nat ) ) @ h ) ) @ n ) ) ) @ lab ) ) @ lba ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[973]) ).
thf(1059,plain,
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combc @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( ord_less @ nat ) ) @ h ) ) @ n ) ) ) @ lab ) ) @ lba ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( ord_less @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_992993526_mktop ) @ p ) ) @ e ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( fequal @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ arrow_1726925404_above ) @ p ) ) @ c ) ) @ e ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_844286440_mkbot ) @ p ) ) @ e ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[974]) ).
thf(1060,plain,
! [SV220: $i,SV167: $i,SV76: $i] :
( ( ( ( ti @ SV76 @ SV167 )
= ( ti @ SV76 @ SV220 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV76 @ bool @ ( hAPP @ SV76 @ ( fun @ SV76 @ bool ) @ ( fequal @ SV76 ) @ SV167 ) @ SV220 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[975]) ).
thf(1061,plain,
! [SV221: $i,SV273: $i,SV324: $i,SV168: $i,SV77: $i] :
( ( ! [SY1035: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV77 @ bool ) @ bool @ ( hAPP @ ( fun @ SV77 @ SV168 ) @ ( fun @ ( fun @ SV77 @ bool ) @ bool ) @ ( inj_on @ SV77 @ SV168 ) @ SV324 ) @ SY1035 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV77 @ bool ) @ bool @ ( hAPP @ SV77 @ ( fun @ ( fun @ SV77 @ bool ) @ bool ) @ ( member @ SV77 ) @ SV273 ) @ SY1035 ) )
| ( ( hAPP @ SV77 @ SV168 @ SV324 @ SV273 )
!= ( ti @ SV168 @ SV221 ) )
| ( ( hAPP @ SV168 @ SV77 @ ( hAPP @ ( fun @ SV77 @ SV168 ) @ ( fun @ SV168 @ SV77 ) @ ( hAPP @ ( fun @ SV77 @ bool ) @ ( fun @ ( fun @ SV77 @ SV168 ) @ ( fun @ SV168 @ SV77 ) ) @ ( hilbert_inv_into @ SV77 @ SV168 ) @ SY1035 ) @ SV324 ) @ SV221 )
= ( ti @ SV77 @ SV273 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[976]) ).
thf(1062,plain,
! [SV222: $i,SV169: $i,SV78: $i] :
( ( ( ! [SY902: $i,SY903: $i] :
( ( ( hAPP @ SV78 @ SV169 @ SV222 @ SY902 )
!= ( hAPP @ SV78 @ SV169 @ SV222 @ SY903 ) )
| ( ( ti @ SV78 @ SY902 )
= ( ti @ SV78 @ SY903 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV78 @ bool ) @ bool @ ( hAPP @ ( fun @ SV78 @ SV169 ) @ ( fun @ ( fun @ SV78 @ bool ) @ bool ) @ ( inj_on @ SV78 @ SV169 ) @ SV222 ) @ ( top_top @ ( fun @ SV78 @ bool ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[977]) ).
thf(1063,plain,
! [SV223: $i,SV274: $i,SV170: $i,SV79: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV79 @ bool ) @ bool @ ( hAPP @ ( fun @ SV79 @ SV170 ) @ ( fun @ ( fun @ SV79 @ bool ) @ bool ) @ ( inj_on @ SV79 @ SV170 ) @ SV274 ) @ ( top_top @ ( fun @ SV79 @ bool ) ) ) ) )
= $true )
| ( ( ~ ! [SY986: $i] :
( ( hAPP @ SV79 @ SV170 @ SV274 @ ( hAPP @ SV170 @ SV79 @ SV223 @ SY986 ) )
= ( ti @ SV170 @ SY986 ) )
| ( ( hAPP @ ( fun @ SV79 @ SV170 ) @ ( fun @ SV170 @ SV79 ) @ ( hAPP @ ( fun @ SV79 @ bool ) @ ( fun @ ( fun @ SV79 @ SV170 ) @ ( fun @ SV170 @ SV79 ) ) @ ( hilbert_inv_into @ SV79 @ SV170 ) @ ( top_top @ ( fun @ SV79 @ bool ) ) ) @ SV274 )
= ( ti @ ( fun @ SV170 @ SV79 ) @ SV223 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[978]) ).
thf(1064,plain,
! [SV80: $i,SV224: $i,SV171: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV171 )
!= ( ti @ arrow_1212486748le_alt @ SV224 ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV80 ) @ arrow_638930832le_Lin ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV80 ) @ SV171 ) @ SV224 ) ) @ arrow_638930832le_Lin ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[979]) ).
thf(1065,plain,
! [SV275: $i,SV225: $i,SV325: $i,SV172: $i,SV81: $i] :
( ( ! [SY1036: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV81 @ bool ) @ bool @ ( hAPP @ ( fun @ SV81 @ SV172 ) @ ( fun @ ( fun @ SV81 @ bool ) @ bool ) @ ( inj_on @ SV81 @ SV172 ) @ SV325 ) @ SY1036 ) )
| ~ ( ( ( ti @ SV81 @ SV225 )
!= ( ti @ SV81 @ SV275 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV81 @ bool ) @ bool @ ( hAPP @ SV81 @ ( fun @ ( fun @ SV81 @ bool ) @ bool ) @ ( member @ SV81 ) @ SV225 ) @ SY1036 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV81 @ bool ) @ bool @ ( hAPP @ SV81 @ ( fun @ ( fun @ SV81 @ bool ) @ bool ) @ ( member @ SV81 ) @ SV275 ) @ SY1036 ) )
| ( ( hAPP @ SV81 @ SV172 @ SV325 @ SV225 )
!= ( hAPP @ SV81 @ SV172 @ SV325 @ SV275 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[980]) ).
thf(1066,plain,
! [SV276: $i,SV226: $i,SV173: $i,SV82: $i] :
( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ SV226 ) @ SV276 ) ) )
| ~ ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV173 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV173 ) ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ SV226 ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV173 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV173 ) ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ SV226 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ SV226 ) @ SV276 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[981]) ).
thf(1067,plain,
! [SV174: $i,SV83: $i,SV227: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV227 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV83 ) @ SV174 ) ) @ SV227 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV174 ) @ SV83 ) ) @ SV227 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[982]) ).
thf(1068,plain,
! [SV84: $i,SV175: $i,SV277: $i,SV228: $i,SV326: $i] :
( ( ! [SY1037: $i] :
( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
!= ( ti @ arrow_1212486748le_alt @ SY1037 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV228 )
!= ( ti @ arrow_1212486748le_alt @ SV277 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
!= ( ti @ arrow_1212486748le_alt @ SV277 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SY1037 )
!= ( ti @ arrow_1212486748le_alt @ SV228 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV175 ) @ arrow_1834574746e_Prof ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV84 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY1038: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SY1037 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ SY1038 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ SY1038 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ SY1038 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SY1037 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ SY1038 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SY1037 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SY1037 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[983]) ).
thf(1069,plain,
! [SV278: $i,SV327: $i,SV85: $i] :
( ( ( ! [SY1039: $i] :
( ~ ( hBOOL @ ( hAPP @ SV85 @ bool @ ( hAPP @ SV85 @ ( fun @ SV85 @ bool ) @ ( ord_less @ SV85 ) @ SV327 ) @ SY1039 ) )
| ( SY1039 != SV278 )
| ( hBOOL @ ( hAPP @ SV85 @ bool @ ( hAPP @ SV85 @ ( fun @ SV85 @ bool ) @ ( ord_less @ SV85 ) @ SV327 ) @ SV278 ) ) ) )
= $true )
| ( ( ord @ SV85 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[984]) ).
thf(1070,plain,
! [SV279: $i,SV87: $i,SV328: $i] :
( ( ( ! [SY1040: $i] :
( ( SV328 != SY1040 )
| ~ ( hBOOL @ ( hAPP @ SV87 @ bool @ ( hAPP @ SV87 @ ( fun @ SV87 @ bool ) @ ( ord_less @ SV87 ) @ SV279 ) @ SY1040 ) )
| ( hBOOL @ ( hAPP @ SV87 @ bool @ ( hAPP @ SV87 @ ( fun @ SV87 @ bool ) @ ( ord_less @ SV87 ) @ SV279 ) @ SV328 ) ) ) )
= $true )
| ( ( order @ SV87 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[986]) ).
thf(1071,plain,
! [SV329: $i,SV280: $i,SV88: $i] :
( ( ( ~ ~ ( hBOOL @ ( hAPP @ SV88 @ bool @ ( hAPP @ SV88 @ ( fun @ SV88 @ bool ) @ ( ord_less @ SV88 ) @ SV280 ) @ SV329 ) )
| ~ ( ( ( ti @ SV88 @ SV280 )
!= ( ti @ SV88 @ SV329 ) ) )
| ( hBOOL @ ( hAPP @ SV88 @ bool @ ( hAPP @ SV88 @ ( fun @ SV88 @ bool ) @ ( ord_less @ SV88 ) @ SV329 ) @ SV280 ) ) )
= $true )
| ( ( linorder @ SV88 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[987]) ).
thf(1072,plain,
! [SV89: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) ) )
= $true )
| ( ( ! [SY612: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SY612 ) @ arrow_1834574746e_Prof ) )
| ! [SY613: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SY613 ) @ arrow_1834574746e_Prof ) )
| ! [SY614: $i,SY615: $i] :
( ~ ! [SX5: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY614 ) @ SY615 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY612 @ SX5 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY614 ) @ SY615 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY613 @ SX5 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY614 ) @ SY615 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY613 @ SX5 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY614 ) @ SY615 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY612 @ SX5 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY614 ) @ SY615 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SY612 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY614 ) @ SY615 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SY613 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY614 ) @ SY615 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SY613 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY614 ) @ SY615 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SY612 ) ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[988]) ).
thf(1073,plain,
! [SV89: $i] :
( ( ( ~ ! [SY617: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SY617 ) @ arrow_1834574746e_Prof ) )
| ! [SY618: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SY618 ) @ arrow_1834574746e_Prof ) )
| ! [SY619: $i,SY620: $i] :
( ~ ! [SX5: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY619 ) @ SY620 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY617 @ SX5 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY619 ) @ SY620 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY618 @ SX5 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY619 ) @ SY620 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY618 @ SX5 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY619 ) @ SY620 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY617 @ SX5 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY619 ) @ SY620 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SY617 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY619 ) @ SY620 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SY618 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY619 ) @ SY620 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SY618 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY619 ) @ SY620 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SY617 ) ) ) ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[989]) ).
thf(1074,plain,
! [SV229: $i,SV177: $i,SV90: $i] :
( ( ~ ( ~ ! [SY914: $i] : ( hBOOL @ ( hAPP @ ( product_prod @ SV90 @ SV177 ) @ bool @ SV229 @ SY914 ) )
| ! [SY915: $i,SY916: $i] : ( hBOOL @ ( hAPP @ ( product_prod @ SV90 @ SV177 ) @ bool @ SV229 @ ( hAPP @ SV177 @ ( product_prod @ SV90 @ SV177 ) @ ( hAPP @ SV90 @ ( fun @ SV177 @ ( product_prod @ SV90 @ SV177 ) ) @ ( product_Pair @ SV90 @ SV177 ) @ SY915 ) @ SY916 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[990]) ).
thf(1075,plain,
! [SV229: $i,SV177: $i,SV90: $i] :
( ( ~ ( ~ ! [SY917: $i,SY918: $i] : ( hBOOL @ ( hAPP @ ( product_prod @ SV90 @ SV177 ) @ bool @ SV229 @ ( hAPP @ SV177 @ ( product_prod @ SV90 @ SV177 ) @ ( hAPP @ SV90 @ ( fun @ SV177 @ ( product_prod @ SV90 @ SV177 ) ) @ ( product_Pair @ SV90 @ SV177 ) @ SY917 ) @ SY918 ) ) )
| ! [SY919: $i] : ( hBOOL @ ( hAPP @ ( product_prod @ SV90 @ SV177 ) @ bool @ SV229 @ SY919 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[990]) ).
thf(1076,plain,
! [SV281: $i,SV230: $i,SV179: $i,SV93: $i] :
( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ ( fun @ SV93 @ SV179 ) @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( inj_on @ SV93 @ SV179 ) @ SV230 ) @ SV281 ) )
| ! [SY997: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ SV93 @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( member @ SV93 ) @ SY997 ) @ SV281 ) )
| ! [SY998: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ SV93 @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( member @ SV93 ) @ SY998 ) @ SV281 ) )
| ( ( hAPP @ SV93 @ SV179 @ SV230 @ SY997 )
!= ( hAPP @ SV93 @ SV179 @ SV230 @ SY998 ) )
| ( ( ti @ SV93 @ SY997 )
= ( ti @ SV93 @ SY998 ) ) ) ) )
| ~ ( ~ ! [SY999: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ SV93 @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( member @ SV93 ) @ SY999 ) @ SV281 ) )
| ! [SY1000: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ SV93 @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( member @ SV93 ) @ SY1000 ) @ SV281 ) )
| ( ( hAPP @ SV93 @ SV179 @ SV230 @ SY999 )
!= ( hAPP @ SV93 @ SV179 @ SV230 @ SY1000 ) )
| ( ( ti @ SV93 @ SY999 )
= ( ti @ SV93 @ SY1000 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ ( fun @ SV93 @ SV179 ) @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( inj_on @ SV93 @ SV179 ) @ SV230 ) @ SV281 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[992]) ).
thf(1077,plain,
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ p ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( ord_less @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_992993526_mktop ) @ p ) ) @ e ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( fequal @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ arrow_1726925404_above ) @ p ) ) @ c ) ) @ e ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_844286440_mkbot ) @ p ) ) @ e ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[993]) ).
thf(1078,plain,
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( ord_less @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_992993526_mktop ) @ p ) ) @ e ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combs @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ bool @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ ( if @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( fun @ nat @ ( fun @ arrow_1384031255e_indi @ bool ) ) @ ( combc @ arrow_1384031255e_indi @ nat @ bool ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) @ ( hAPP @ ( fun @ nat @ ( fun @ nat @ bool ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ nat ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ nat @ bool ) ) ) @ ( combb @ nat @ ( fun @ nat @ bool ) @ arrow_1384031255e_indi ) @ ( fequal @ nat ) ) @ h ) ) @ n ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1384031255e_indi ) @ arrow_1726925404_above ) @ p ) ) @ c ) ) @ e ) ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( combc @ arrow_1384031255e_indi @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) ) @ ( combb @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1384031255e_indi ) @ arrow_844286440_mkbot ) @ p ) ) @ e ) ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ p ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[994]) ).
thf(1079,plain,
! [SV282: $i,SV330: $i,SV94: $i] :
( ( ( ! [SY1041: $i] :
( ~ ( hBOOL @ ( hAPP @ SV94 @ bool @ ( hAPP @ SV94 @ ( fun @ SV94 @ bool ) @ ( ord_less @ SV94 ) @ SV330 ) @ SY1041 ) )
| ~ ( hBOOL @ ( hAPP @ SV94 @ bool @ ( hAPP @ SV94 @ ( fun @ SV94 @ bool ) @ ( ord_less @ SV94 ) @ SV282 ) @ SV330 ) )
| ( hBOOL @ ( hAPP @ SV94 @ bool @ ( hAPP @ SV94 @ ( fun @ SV94 @ bool ) @ ( ord_less @ SV94 ) @ SV282 ) @ SY1041 ) ) ) )
= $true )
| ( ( order @ SV94 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[995]) ).
thf(1080,plain,
! [SV231: $i,SV283: $i,SV180: $i,SV96: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV96 @ bool ) @ bool @ ( hAPP @ ( fun @ SV96 @ SV180 ) @ ( fun @ ( fun @ SV96 @ bool ) @ bool ) @ ( inj_on @ SV96 @ SV180 ) @ SV283 ) @ ( top_top @ ( fun @ SV96 @ bool ) ) ) ) )
= $true )
| ( ( ( hAPP @ SV180 @ SV96 @ ( hAPP @ ( fun @ SV96 @ SV180 ) @ ( fun @ SV180 @ SV96 ) @ ( hAPP @ ( fun @ SV96 @ bool ) @ ( fun @ ( fun @ SV96 @ SV180 ) @ ( fun @ SV180 @ SV96 ) ) @ ( hilbert_inv_into @ SV96 @ SV180 ) @ ( top_top @ ( fun @ SV96 @ bool ) ) ) @ SV283 ) @ ( hAPP @ SV96 @ SV180 @ SV283 @ SV231 ) )
= ( ti @ SV96 @ SV231 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[996]) ).
thf(1081,plain,
! [SV181: $i,SV97: $i,SV232: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV232 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV97 )
!= ( ti @ arrow_1212486748le_alt @ SV181 ) ) )
| ~ ( ~ ( ~ ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV97 ) @ SV181 ) ) @ SV232 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV181 ) @ SV97 ) ) @ SV232 ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV181 ) @ SV97 ) ) @ SV232 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV97 ) @ SV181 ) ) @ SV232 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[997]) ).
thf(1082,plain,
! [SV331: $i,SV284: $i,SV98: $i] :
( ( ( ~ ~ ( hBOOL @ ( hAPP @ SV98 @ bool @ ( hAPP @ SV98 @ ( fun @ SV98 @ bool ) @ ( ord_less @ SV98 ) @ SV284 ) @ SV331 ) )
| ~ ( ~ ( ~ ~ ( hBOOL @ ( hAPP @ SV98 @ bool @ ( hAPP @ SV98 @ ( fun @ SV98 @ bool ) @ ( ord_less @ SV98 ) @ SV331 ) @ SV284 ) )
| ( ( ti @ SV98 @ SV331 )
= ( ti @ SV98 @ SV284 ) ) )
| ~ ( ( ( ti @ SV98 @ SV331 )
!= ( ti @ SV98 @ SV284 ) )
| ~ ( hBOOL @ ( hAPP @ SV98 @ bool @ ( hAPP @ SV98 @ ( fun @ SV98 @ bool ) @ ( ord_less @ SV98 ) @ SV331 ) @ SV284 ) ) ) ) )
= $true )
| ( ( linorder @ SV98 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[998]) ).
thf(1083,plain,
! [SV233: $i,SV182: $i,SV99: $i] :
( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV99 @ bool ) @ bool @ ( hAPP @ SV99 @ ( fun @ ( fun @ SV99 @ bool ) @ bool ) @ ( member @ SV99 ) @ SV182 ) @ SV233 ) )
| ( hBOOL @ ( hAPP @ SV99 @ bool @ SV233 @ SV182 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[999]) ).
thf(1084,plain,
! [SV182: $i,SV233: $i,SV99: $i] :
( ( ~ ( ~ ( hBOOL @ ( hAPP @ SV99 @ bool @ SV233 @ SV182 ) )
| ( hBOOL @ ( hAPP @ ( fun @ SV99 @ bool ) @ bool @ ( hAPP @ SV99 @ ( fun @ ( fun @ SV99 @ bool ) @ bool ) @ ( member @ SV99 ) @ SV182 ) @ SV233 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[999]) ).
thf(1085,plain,
! [SV100: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1000]) ).
thf(1086,plain,
! [SV100: $i] :
( ( ( ~ ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1001]) ).
thf(1087,plain,
! [SV285: $i,SV234: $i,SV183: $i,SV101: $i] :
( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ SV234 ) @ SV285 ) ) )
| ~ ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV101 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV101 )
!= ( ti @ arrow_1212486748le_alt @ SV183 ) ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ SV234 ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV101 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV101 )
!= ( ti @ arrow_1212486748le_alt @ SV183 ) ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ SV234 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ SV234 ) @ SV285 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1002]) ).
thf(1088,plain,
! [SV332: $i,SV286: $i,SV102: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV102 @ bool @ ( hAPP @ SV102 @ ( fun @ SV102 @ bool ) @ ( ord_less @ SV102 ) @ SV286 ) @ SV332 ) )
| ~ ( hBOOL @ ( hAPP @ SV102 @ bool @ ( hAPP @ SV102 @ ( fun @ SV102 @ bool ) @ ( ord_less @ SV102 ) @ SV332 ) @ SV286 ) ) )
= $true )
| ( ( preorder @ SV102 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1003]) ).
thf(1089,plain,
! [SV333: $i,SV287: $i,SV103: $i] :
( ( ( ~ ( ~ ( ~ ~ ( hBOOL @ ( hAPP @ SV103 @ bool @ ( hAPP @ SV103 @ ( fun @ SV103 @ bool ) @ ( ord_less @ SV103 ) @ SV287 ) @ SV333 ) )
| ( hBOOL @ ( hAPP @ SV103 @ bool @ ( hAPP @ SV103 @ ( fun @ SV103 @ bool ) @ ( ord_less @ SV103 ) @ SV333 ) @ SV287 ) )
| ( ( ti @ SV103 @ SV287 )
= ( ti @ SV103 @ SV333 ) ) )
| ~ ( ~ ( ( hBOOL @ ( hAPP @ SV103 @ bool @ ( hAPP @ SV103 @ ( fun @ SV103 @ bool ) @ ( ord_less @ SV103 ) @ SV333 ) @ SV287 ) )
| ( ( ti @ SV103 @ SV287 )
= ( ti @ SV103 @ SV333 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV103 @ bool @ ( hAPP @ SV103 @ ( fun @ SV103 @ bool ) @ ( ord_less @ SV103 ) @ SV287 ) @ SV333 ) ) ) ) )
= $true )
| ( ( linorder @ SV103 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1004]) ).
thf(1090,plain,
! [SV104: $i,SV184: $i,SV288: $i,SV235: $i,SV334: $i] :
( ( ! [SY1042: $i] :
( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
!= ( ti @ arrow_1212486748le_alt @ SY1042 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV235 )
!= ( ti @ arrow_1212486748le_alt @ SV288 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
!= ( ti @ arrow_1212486748le_alt @ SV288 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SY1042 )
!= ( ti @ arrow_1212486748le_alt @ SV235 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV184 ) @ arrow_1834574746e_Prof ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV104 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY1043: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SY1042 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV184 @ SY1043 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV104 @ SY1043 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV104 @ SY1043 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SY1042 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV184 @ SY1043 ) ) ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SY1042 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV184 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV104 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1005]) ).
thf(1091,plain,
! [SV335: $i,SV289: $i,SV105: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV105 @ bool @ ( hAPP @ SV105 @ ( fun @ SV105 @ bool ) @ ( ord_less @ SV105 ) @ SV289 ) @ SV335 ) )
| ( SV289 != SV335 ) )
= $true )
| ( ( order @ SV105 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1006]) ).
thf(1092,plain,
! [SV106: $i,SV185: $i,SV236: $i,SV336: $i,SV290: $i] :
( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
!= ( ti @ arrow_1212486748le_alt @ SV336 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV336 )
!= ( ti @ arrow_1212486748le_alt @ SV236 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
!= ( ti @ arrow_1212486748le_alt @ SV236 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV185 ) @ arrow_1834574746e_Prof ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV106 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY1044: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ SY1044 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ SY1044 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ SY1044 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ SY1044 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1007]) ).
thf(1093,plain,
! [SV337: $i,SV291: $i,SV107: $i] :
( ( ( ( hBOOL @ ( hAPP @ SV107 @ bool @ ( hAPP @ SV107 @ ( fun @ SV107 @ bool ) @ ( ord_less @ SV107 ) @ SV291 ) @ SV337 ) )
| ( ( ti @ SV107 @ SV291 )
= ( ti @ SV107 @ SV337 ) )
| ( hBOOL @ ( hAPP @ SV107 @ bool @ ( hAPP @ SV107 @ ( fun @ SV107 @ bool ) @ ( ord_less @ SV107 ) @ SV337 ) @ SV291 ) ) )
= $true )
| ( ( linorder @ SV107 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1008]) ).
thf(1094,plain,
! [SV292: $i,SV237: $i,SV338: $i,SV187: $i,SV109: $i] :
( ( ! [SY1045: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV109 @ bool ) @ bool @ ( hAPP @ ( fun @ SV109 @ SV187 ) @ ( fun @ ( fun @ SV109 @ bool ) @ bool ) @ ( inj_on @ SV109 @ SV187 ) @ SV338 ) @ SY1045 ) )
| ( ( hAPP @ SV109 @ SV187 @ SV338 @ SV237 )
!= ( hAPP @ SV109 @ SV187 @ SV338 @ SV292 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV109 @ bool ) @ bool @ ( hAPP @ SV109 @ ( fun @ ( fun @ SV109 @ bool ) @ bool ) @ ( member @ SV109 ) @ SV237 ) @ SY1045 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV109 @ bool ) @ bool @ ( hAPP @ SV109 @ ( fun @ ( fun @ SV109 @ bool ) @ bool ) @ ( member @ SV109 ) @ SV292 ) @ SY1045 ) )
| ( ( ti @ SV109 @ SV237 )
= ( ti @ SV109 @ SV292 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1010]) ).
thf(1095,plain,
! [SV339: $i,SV293: $i,SV110: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV110 @ bool @ ( hAPP @ SV110 @ ( fun @ SV110 @ bool ) @ ( ord_less @ SV110 ) @ SV293 ) @ SV339 ) )
| ~ ( hBOOL @ ( hAPP @ SV110 @ bool @ ( hAPP @ SV110 @ ( fun @ SV110 @ bool ) @ ( ord_less @ SV110 ) @ SV339 ) @ SV293 ) ) )
= $true )
| ( ( preorder @ SV110 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1011]) ).
thf(1096,plain,
! [SV294: $i,SV340: $i,SV111: $i] :
( ( ( ! [SY1046: $i] :
( ~ ( hBOOL @ ( hAPP @ SV111 @ bool @ ( hAPP @ SV111 @ ( fun @ SV111 @ bool ) @ ( ord_less @ SV111 ) @ SV340 ) @ SY1046 ) )
| ~ ( hBOOL @ ( hAPP @ SV111 @ bool @ ( hAPP @ SV111 @ ( fun @ SV111 @ bool ) @ ( ord_less @ SV111 ) @ SY1046 ) @ SV340 ) )
| ( hBOOL @ SV294 ) ) )
= $true )
| ( ( preorder @ SV111 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1012]) ).
thf(1097,plain,
! [SV295: $i,SV113: $i] :
( ( ( ~ ( ~ ( ( ( ti @ SV113 @ SV295 )
!= ( top_top @ SV113 ) ) )
| ( hBOOL @ ( hAPP @ SV113 @ bool @ ( hAPP @ SV113 @ ( fun @ SV113 @ bool ) @ ( ord_less @ SV113 ) @ SV295 ) @ ( top_top @ SV113 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ SV113 @ bool @ ( hAPP @ SV113 @ ( fun @ SV113 @ bool ) @ ( ord_less @ SV113 ) @ SV295 ) @ ( top_top @ SV113 ) ) )
| ( ( ti @ SV113 @ SV295 )
!= ( top_top @ SV113 ) ) ) )
= $false )
| ( ( top @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1013]) ).
thf(1098,plain,
! [SV296: $i,SV238: $i,SV188: $i,SV114: $i] :
( ( ( ~ ! [SY1018: $i] :
( ( hAPP @ SV114 @ SV188 @ SV238 @ SY1018 )
= ( hAPP @ SV114 @ SV188 @ SV296 @ SY1018 ) ) )
= $true )
| ( ( ( ti @ ( fun @ SV114 @ SV188 ) @ SV238 )
= ( ti @ ( fun @ SV114 @ SV188 ) @ SV296 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1014]) ).
thf(1099,plain,
! [SV341: $i,SV297: $i,SV115: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV115 @ bool @ ( hAPP @ SV115 @ ( fun @ SV115 @ bool ) @ ( ord_less @ SV115 ) @ SV297 ) @ SV341 ) )
| ( SV297 != SV341 ) )
= $true )
| ( ( order @ SV115 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1015]) ).
thf(1100,plain,
! [SV342: $i,SV298: $i,SV242: $i,SV196: $i,SV131: $i,SV22: $i] :
( ( ( hAPP @ ( product_prod @ SV22 @ SV131 ) @ SV196 @ ( hAPP @ ( fun @ SV22 @ ( fun @ SV131 @ SV196 ) ) @ ( fun @ ( product_prod @ SV22 @ SV131 ) @ SV196 ) @ ( product_prod_rec @ SV22 @ SV131 @ SV196 ) @ SV242 ) @ ( hAPP @ SV131 @ ( product_prod @ SV22 @ SV131 ) @ ( hAPP @ SV22 @ ( fun @ SV131 @ ( product_prod @ SV22 @ SV131 ) ) @ ( product_Pair @ SV22 @ SV131 ) @ SV298 ) @ SV342 ) )
= ( hAPP @ SV131 @ SV196 @ ( hAPP @ SV22 @ ( fun @ SV131 @ SV196 ) @ SV242 @ SV298 ) @ SV342 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1016]) ).
thf(1101,plain,
! [SV343: $i,SV299: $i,SV243: $i,SV200: $i,SV139: $i,SV33: $i] :
( ( ( hAPP @ SV33 @ SV139 @ ( hAPP @ ( fun @ SV33 @ SV200 ) @ ( fun @ SV33 @ SV139 ) @ ( hAPP @ ( fun @ SV200 @ SV139 ) @ ( fun @ ( fun @ SV33 @ SV200 ) @ ( fun @ SV33 @ SV139 ) ) @ ( combb @ SV200 @ SV139 @ SV33 ) @ SV243 ) @ SV299 ) @ SV343 )
= ( hAPP @ SV200 @ SV139 @ SV243 @ ( hAPP @ SV33 @ SV200 @ SV299 @ SV343 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1017]) ).
thf(1102,plain,
! [SV344: $i,SV300: $i,SV244: $i,SV201: $i,SV140: $i,SV34: $i] :
( ( ( hAPP @ SV34 @ SV140 @ ( hAPP @ SV201 @ ( fun @ SV34 @ SV140 ) @ ( hAPP @ ( fun @ SV34 @ ( fun @ SV201 @ SV140 ) ) @ ( fun @ SV201 @ ( fun @ SV34 @ SV140 ) ) @ ( combc @ SV34 @ SV201 @ SV140 ) @ SV244 ) @ SV300 ) @ SV344 )
= ( hAPP @ SV201 @ SV140 @ ( hAPP @ SV34 @ ( fun @ SV201 @ SV140 ) @ SV244 @ SV344 ) @ SV300 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1018]) ).
thf(1103,plain,
! [SV345: $i,SV301: $i,SV246: $i,SV203: $i,SV143: $i,SV37: $i] :
( ( ( hAPP @ SV37 @ SV143 @ ( hAPP @ ( fun @ SV37 @ SV203 ) @ ( fun @ SV37 @ SV143 ) @ ( hAPP @ ( fun @ SV37 @ ( fun @ SV203 @ SV143 ) ) @ ( fun @ ( fun @ SV37 @ SV203 ) @ ( fun @ SV37 @ SV143 ) ) @ ( combs @ SV37 @ SV203 @ SV143 ) @ SV246 ) @ SV301 ) @ SV345 )
= ( hAPP @ SV203 @ SV143 @ ( hAPP @ SV37 @ ( fun @ SV203 @ SV143 ) @ SV246 @ SV345 ) @ ( hAPP @ SV37 @ SV203 @ SV301 @ SV345 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1019]) ).
thf(1104,plain,
! [SV247: $i,SV205: $i,SV302: $i,SV145: $i,SV40: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV40 @ bool ) @ bool @ ( hAPP @ ( fun @ SV40 @ SV145 ) @ ( fun @ ( fun @ SV40 @ bool ) @ bool ) @ ( inj_on @ SV40 @ SV145 ) @ SV302 ) @ ( top_top @ ( fun @ SV40 @ bool ) ) ) ) )
= $true )
| ( ( ( ( hAPP @ SV40 @ SV145 @ SV302 @ SV205 )
!= ( hAPP @ SV40 @ SV145 @ SV302 @ SV247 ) )
| ( ( ti @ SV40 @ SV205 )
= ( ti @ SV40 @ SV247 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1021]) ).
thf(1105,plain,
! [SV146: $i,SV41: $i] :
( ( ( ! [SY725: $i] :
~ ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SY725 ) @ arrow_638930832le_Lin ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV41 ) @ SV146 ) ) @ SY725 ) ) ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV41 )
= ( ti @ arrow_1212486748le_alt @ SV146 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1022]) ).
thf(1106,plain,
! [SV43: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_1932713123nimity @ SV43 ) )
= $false )
| ( ( ! [SY462: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SY462 ) @ arrow_1834574746e_Prof ) )
| ! [SY463: $i,SY464: $i] :
( ~ ! [SX4: $i] : ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY463 ) @ SY464 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY462 @ SX4 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY463 ) @ SY464 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV43 @ SY462 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1023]) ).
thf(1107,plain,
! [SV43: $i] :
( ( ( ! [SY466: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SY466 ) @ arrow_1834574746e_Prof ) )
| ! [SY467: $i,SY468: $i] :
( ~ ! [SX4: $i] : ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY467 ) @ SY468 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY466 @ SX4 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY467 ) @ SY468 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV43 @ SY466 ) ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_1932713123nimity @ SV43 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1024]) ).
thf(1108,plain,
! [SV44: $i,SV248: $i,SV206: $i,SV148: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ SV148 @ bool ) @ bool @ ( hAPP @ ( fun @ SV148 @ SV206 ) @ ( fun @ ( fun @ SV148 @ bool ) @ bool ) @ ( inj_on @ SV148 @ SV206 ) @ SV248 ) @ ( top_top @ ( fun @ SV148 @ bool ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV148 @ bool ) @ bool @ ( hAPP @ ( fun @ SV148 @ ( fun @ SV44 @ SV206 ) ) @ ( fun @ ( fun @ SV148 @ bool ) @ bool ) @ ( inj_on @ SV148 @ ( fun @ SV44 @ SV206 ) ) @ ( hAPP @ ( fun @ SV148 @ SV206 ) @ ( fun @ SV148 @ ( fun @ SV44 @ SV206 ) ) @ ( hAPP @ ( fun @ SV206 @ ( fun @ SV44 @ SV206 ) ) @ ( fun @ ( fun @ SV148 @ SV206 ) @ ( fun @ SV148 @ ( fun @ SV44 @ SV206 ) ) ) @ ( combb @ SV206 @ ( fun @ SV44 @ SV206 ) @ SV148 ) @ ( combk @ SV206 @ SV44 ) ) @ SV248 ) ) @ ( top_top @ ( fun @ SV148 @ bool ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1025]) ).
thf(1109,plain,
! [SV207: $i,SV346: $i,SV303: $i,SV249: $i,SV150: $i,SV46: $i] :
( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ SV46 @ SV150 ) @ bool ) @ bool @ ( hAPP @ ( fun @ SV46 @ SV150 ) @ ( fun @ ( fun @ ( fun @ SV46 @ SV150 ) @ bool ) @ bool ) @ ( member @ ( fun @ SV46 @ SV150 ) ) @ SV249 ) @ ( hAPP @ ( fun @ SV46 @ ( fun @ SV150 @ bool ) ) @ ( fun @ ( fun @ SV46 @ SV150 ) @ bool ) @ ( hAPP @ ( fun @ SV46 @ bool ) @ ( fun @ ( fun @ SV46 @ ( fun @ SV150 @ bool ) ) @ ( fun @ ( fun @ SV46 @ SV150 ) @ bool ) ) @ ( pi @ SV46 @ SV150 ) @ SV303 ) @ SV346 ) ) )
| ~ ~ ( hBOOL @ ( hAPP @ ( fun @ SV150 @ bool ) @ bool @ ( hAPP @ SV150 @ ( fun @ ( fun @ SV150 @ bool ) @ bool ) @ ( member @ SV150 ) @ ( hAPP @ SV46 @ SV150 @ SV249 @ SV207 ) ) @ ( hAPP @ SV46 @ ( fun @ SV150 @ bool ) @ SV346 @ SV207 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV46 @ bool ) @ bool @ ( hAPP @ SV46 @ ( fun @ ( fun @ SV46 @ bool ) @ bool ) @ ( member @ SV46 ) @ SV207 ) @ SV303 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1026]) ).
thf(1110,plain,
! [SV208: $i,SV347: $i,SV304: $i,SV250: $i,SV151: $i,SV47: $i] :
( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ SV47 @ SV151 ) @ bool ) @ bool @ ( hAPP @ ( fun @ SV47 @ SV151 ) @ ( fun @ ( fun @ ( fun @ SV47 @ SV151 ) @ bool ) @ bool ) @ ( member @ ( fun @ SV47 @ SV151 ) ) @ SV250 ) @ ( hAPP @ ( fun @ SV47 @ ( fun @ SV151 @ bool ) ) @ ( fun @ ( fun @ SV47 @ SV151 ) @ bool ) @ ( hAPP @ ( fun @ SV47 @ bool ) @ ( fun @ ( fun @ SV47 @ ( fun @ SV151 @ bool ) ) @ ( fun @ ( fun @ SV47 @ SV151 ) @ bool ) ) @ ( pi @ SV47 @ SV151 ) @ SV304 ) @ SV347 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV47 @ bool ) @ bool @ ( hAPP @ SV47 @ ( fun @ ( fun @ SV47 @ bool ) @ bool ) @ ( member @ SV47 ) @ SV208 ) @ SV304 ) )
| ( hBOOL @ ( hAPP @ ( fun @ SV151 @ bool ) @ bool @ ( hAPP @ SV151 @ ( fun @ ( fun @ SV151 @ bool ) @ bool ) @ ( member @ SV151 ) @ ( hAPP @ SV47 @ SV151 @ SV250 @ SV208 ) ) @ ( hAPP @ SV47 @ ( fun @ SV151 @ bool ) @ SV347 @ SV208 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1027]) ).
thf(1111,plain,
! [SV348: $i,SV305: $i,SV251: $i,SV209: $i,SV152: $i,SV48: $i] :
( ( ~ ( ~ ( ( ( hAPP @ SV48 @ ( product_prod @ SV152 @ SV48 ) @ ( hAPP @ SV152 @ ( fun @ SV48 @ ( product_prod @ SV152 @ SV48 ) ) @ ( product_Pair @ SV152 @ SV48 ) @ SV209 ) @ SV251 )
!= ( hAPP @ SV48 @ ( product_prod @ SV152 @ SV48 ) @ ( hAPP @ SV152 @ ( fun @ SV48 @ ( product_prod @ SV152 @ SV48 ) ) @ ( product_Pair @ SV152 @ SV48 ) @ SV305 ) @ SV348 ) )
| ~ ( ( ( ti @ SV152 @ SV209 )
!= ( ti @ SV152 @ SV305 ) )
| ( ( ti @ SV48 @ SV251 )
!= ( ti @ SV48 @ SV348 ) ) ) )
| ~ ( ~ ~ ( ( ( ti @ SV152 @ SV209 )
!= ( ti @ SV152 @ SV305 ) )
| ( ( ti @ SV48 @ SV251 )
!= ( ti @ SV48 @ SV348 ) ) )
| ( ( hAPP @ SV48 @ ( product_prod @ SV152 @ SV48 ) @ ( hAPP @ SV152 @ ( fun @ SV48 @ ( product_prod @ SV152 @ SV48 ) ) @ ( product_Pair @ SV152 @ SV48 ) @ SV209 ) @ SV251 )
= ( hAPP @ SV48 @ ( product_prod @ SV152 @ SV48 ) @ ( hAPP @ SV152 @ ( fun @ SV48 @ ( product_prod @ SV152 @ SV48 ) ) @ ( product_Pair @ SV152 @ SV48 ) @ SV305 ) @ SV348 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1028]) ).
thf(1112,plain,
! [SV153: $i,SV49: $i] :
( ( ( ! [SY740: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SY740 ) @ arrow_1834574746e_Prof ) )
| ! [SY741: $i,SY742: $i] :
( ~ ( ( ( ti @ arrow_1212486748le_alt @ SY741 )
!= ( ti @ arrow_1212486748le_alt @ SY742 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY741 ) @ SY742 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY740 @ SV49 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY741 ) @ SY742 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV153 @ SY740 ) ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ arrow_1384031255e_indi @ bool @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ bool ) @ arrow_1990387629ctator @ SV153 ) @ SV49 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV153 ) @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) ) @ ( pi @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1834574746e_Prof ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( combk @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_638930832le_Lin ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1029]) ).
thf(1113,plain,
! [SV210: $i,SV252: $i,SV154: $i,SV50: $i] :
( ( ~ ( ~ ! [SY954: $i,SY955: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SY954 ) @ SY955 ) ) @ SV252 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SY954 ) @ SY955 ) ) @ SV210 ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SY954 ) @ SY955 ) ) @ SV210 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SY954 ) @ SY955 ) ) @ SV252 ) ) ) )
| ( ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV252 )
= ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV210 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1030]) ).
thf(1114,plain,
! [SV210: $i,SV252: $i,SV154: $i,SV50: $i] :
( ( ~ ( ( ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV252 )
!= ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV210 ) )
| ! [SY956: $i,SY957: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SY956 ) @ SY957 ) ) @ SV252 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SY956 ) @ SY957 ) ) @ SV210 ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SY956 ) @ SY957 ) ) @ SV210 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SY956 ) @ SY957 ) ) @ SV252 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1030]) ).
thf(1115,plain,
! [SV155: $i,SV51: $i,SV211: $i,SV306: $i,SV253: $i] :
( ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
| ~ ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV155 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV253 ) @ SV155 ) ) @ SV211 ) ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV253 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV253 ) ) @ SV211 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) ) ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV155 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV253 ) @ SV155 ) ) @ SV211 ) ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV253 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV253 ) ) @ SV211 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) ) ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1031]) ).
thf(1116,plain,
! [SV254: $i,SV212: $i,SV307: $i,SV156: $i,SV52: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV52 @ bool ) @ bool @ ( hAPP @ ( fun @ SV52 @ SV156 ) @ ( fun @ ( fun @ SV52 @ bool ) @ bool ) @ ( inj_on @ SV52 @ SV156 ) @ SV307 ) @ ( top_top @ ( fun @ SV52 @ bool ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ( ( hAPP @ SV52 @ SV156 @ SV307 @ SV212 )
!= ( hAPP @ SV52 @ SV156 @ SV307 @ SV254 ) )
| ( ( ti @ SV52 @ SV212 )
= ( ti @ SV52 @ SV254 ) ) )
| ~ ( ( ( ti @ SV52 @ SV212 )
!= ( ti @ SV52 @ SV254 ) )
| ( ( hAPP @ SV52 @ SV156 @ SV307 @ SV212 )
= ( hAPP @ SV52 @ SV156 @ SV307 @ SV254 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1032]) ).
thf(1117,plain,
! [SV213: $i,SV349: $i,SV308: $i,SV255: $i,SV157: $i,SV53: $i] :
( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ SV53 @ SV157 ) @ bool ) @ bool @ ( hAPP @ ( fun @ SV53 @ SV157 ) @ ( fun @ ( fun @ ( fun @ SV53 @ SV157 ) @ bool ) @ bool ) @ ( member @ ( fun @ SV53 @ SV157 ) ) @ SV255 ) @ ( hAPP @ ( fun @ SV53 @ ( fun @ SV157 @ bool ) ) @ ( fun @ ( fun @ SV53 @ SV157 ) @ bool ) @ ( hAPP @ ( fun @ SV53 @ bool ) @ ( fun @ ( fun @ SV53 @ ( fun @ SV157 @ bool ) ) @ ( fun @ ( fun @ SV53 @ SV157 ) @ bool ) ) @ ( pi @ SV53 @ SV157 ) @ SV308 ) @ ( hAPP @ ( fun @ SV157 @ bool ) @ ( fun @ SV53 @ ( fun @ SV157 @ bool ) ) @ ( combk @ ( fun @ SV157 @ bool ) @ SV53 ) @ SV349 ) ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV53 @ bool ) @ bool @ ( hAPP @ SV53 @ ( fun @ ( fun @ SV53 @ bool ) @ bool ) @ ( member @ SV53 ) @ SV213 ) @ SV308 ) )
| ( hBOOL @ ( hAPP @ ( fun @ SV157 @ bool ) @ bool @ ( hAPP @ SV157 @ ( fun @ ( fun @ SV157 @ bool ) @ bool ) @ ( member @ SV157 ) @ ( hAPP @ SV53 @ SV157 @ SV255 @ SV213 ) ) @ SV349 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1033]) ).
thf(1118,plain,
! [SV54: $i,SV158: $i,SV256: $i,SV214: $i,SV350: $i,SV309: $i] :
( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV309 )
!= ( ti @ arrow_1212486748le_alt @ SV350 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV214 )
!= ( ti @ arrow_1212486748le_alt @ SV256 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV158 ) @ arrow_1834574746e_Prof ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV54 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY1047: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ SY1047 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ SY1047 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ SY1047 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ SY1047 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1034]) ).
thf(1119,plain,
! [SV55: $i] :
( ( ( hBOOL @ ( ti @ bool @ SV55 ) )
= $false )
| ( ( hBOOL @ SV55 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1035]) ).
thf(1120,plain,
! [SV55: $i] :
( ( ( hBOOL @ SV55 )
= $false )
| ( ( hBOOL @ ( ti @ bool @ SV55 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1036]) ).
thf(1121,plain,
! [SV215: $i,SV310: $i,SV257: $i,SV159: $i,SV56: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV56 @ bool ) @ bool @ ( hAPP @ ( fun @ SV56 @ SV159 ) @ ( fun @ ( fun @ SV56 @ bool ) @ bool ) @ ( inj_on @ SV56 @ SV159 ) @ SV257 ) @ SV310 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV56 @ bool ) @ bool @ ( hAPP @ SV56 @ ( fun @ ( fun @ SV56 @ bool ) @ bool ) @ ( member @ SV56 ) @ SV215 ) @ SV310 ) )
| ( ( hAPP @ SV159 @ SV56 @ ( hAPP @ ( fun @ SV56 @ SV159 ) @ ( fun @ SV159 @ SV56 ) @ ( hAPP @ ( fun @ SV56 @ bool ) @ ( fun @ ( fun @ SV56 @ SV159 ) @ ( fun @ SV159 @ SV56 ) ) @ ( hilbert_inv_into @ SV56 @ SV159 ) @ SV310 ) @ SV257 ) @ ( hAPP @ SV56 @ SV159 @ SV257 @ SV215 ) )
= ( ti @ SV56 @ SV215 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1037]) ).
thf(1122,plain,
! [SV258: $i,SV57: $i,SV351: $i,SV311: $i] :
( ( ( ( SV311 != SV351 )
| ~ ( hBOOL @ ( hAPP @ SV57 @ bool @ ( hAPP @ SV57 @ ( fun @ SV57 @ bool ) @ ( ord_less @ SV57 ) @ SV351 ) @ SV258 ) )
| ( hBOOL @ ( hAPP @ SV57 @ bool @ ( hAPP @ SV57 @ ( fun @ SV57 @ bool ) @ ( ord_less @ SV57 ) @ SV311 ) @ SV258 ) ) )
= $true )
| ( ( ord @ SV57 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1038]) ).
thf(1123,plain,
! [SV59: $i,SV160: $i,SV260: $i,SV216: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV216 )
!= ( ti @ arrow_1212486748le_alt @ SV260 ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV160 ) @ arrow_1834574746e_Prof ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV59 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY968: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ SY968 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ SY968 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ SY968 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ SY968 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1040]) ).
thf(1124,plain,
! [SV312: $i,SV261: $i,SV60: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV60 @ bool @ ( hAPP @ SV60 @ ( fun @ SV60 @ bool ) @ ( ord_less @ SV60 ) @ SV261 ) @ SV312 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV60 @ bool @ ( hAPP @ SV60 @ ( fun @ SV60 @ bool ) @ ( ord_less @ SV60 ) @ SV312 ) @ SV261 ) ) )
= $true )
| ( ( preorder @ SV60 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1041]) ).
thf(1125,plain,
! [SV313: $i,SV262: $i,SV61: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV61 @ bool @ ( hAPP @ SV61 @ ( fun @ SV61 @ bool ) @ ( ord_less @ SV61 ) @ SV262 ) @ SV313 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV61 @ bool @ ( hAPP @ SV61 @ ( fun @ SV61 @ bool ) @ ( ord_less @ SV61 ) @ SV313 ) @ SV262 ) ) )
= $true )
| ( ( order @ SV61 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1042]) ).
thf(1126,plain,
! [SV263: $i,SV217: $i,SV314: $i,SV161: $i,SV62: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV62 @ bool ) @ bool @ ( hAPP @ ( fun @ SV62 @ SV161 ) @ ( fun @ ( fun @ SV62 @ bool ) @ bool ) @ ( inj_on @ SV62 @ SV161 ) @ SV314 ) @ ( top_top @ ( fun @ SV62 @ bool ) ) ) ) )
= $true )
| ( ( ( ( hAPP @ SV62 @ SV161 @ SV314 @ SV217 )
!= ( ti @ SV161 @ SV263 ) )
| ( ( hAPP @ SV161 @ SV62 @ ( hAPP @ ( fun @ SV62 @ SV161 ) @ ( fun @ SV161 @ SV62 ) @ ( hAPP @ ( fun @ SV62 @ bool ) @ ( fun @ ( fun @ SV62 @ SV161 ) @ ( fun @ SV161 @ SV62 ) ) @ ( hilbert_inv_into @ SV62 @ SV161 ) @ ( top_top @ ( fun @ SV62 @ bool ) ) ) @ SV314 ) @ SV263 )
= ( ti @ SV62 @ SV217 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1043]) ).
thf(1127,plain,
! [SV264: $i,SV352: $i,SV316: $i,SV64: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV64 @ bool @ ( hAPP @ SV64 @ ( fun @ SV64 @ bool ) @ ( ord_less @ SV64 ) @ SV316 ) @ SV352 ) )
| ~ ( hBOOL @ ( hAPP @ SV64 @ bool @ ( hAPP @ SV64 @ ( fun @ SV64 @ bool ) @ ( ord_less @ SV64 ) @ SV352 ) @ SV264 ) )
| ( hBOOL @ ( hAPP @ SV64 @ bool @ ( hAPP @ SV64 @ ( fun @ SV64 @ bool ) @ ( ord_less @ SV64 ) @ SV316 ) @ SV264 ) ) )
= $true )
| ( ( preorder @ SV64 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1045]) ).
thf(1128,plain,
! [SV353: $i,SV317: $i,SV265: $i,SV218: $i,SV163: $i,SV65: $i] :
( ( ( ( hAPP @ SV65 @ ( product_prod @ SV163 @ SV65 ) @ ( hAPP @ SV163 @ ( fun @ SV65 @ ( product_prod @ SV163 @ SV65 ) ) @ ( product_Pair @ SV163 @ SV65 ) @ SV218 ) @ SV265 )
!= ( hAPP @ SV65 @ ( product_prod @ SV163 @ SV65 ) @ ( hAPP @ SV163 @ ( fun @ SV65 @ ( product_prod @ SV163 @ SV65 ) ) @ ( product_Pair @ SV163 @ SV65 ) @ SV317 ) @ SV353 ) )
| ~ ( ( ( ti @ SV163 @ SV218 )
!= ( ti @ SV163 @ SV317 ) )
| ( ( ti @ SV65 @ SV265 )
!= ( ti @ SV65 @ SV353 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1046]) ).
thf(1129,plain,
! [SV318: $i,SV266: $i,SV67: $i] :
( ( ( ~ ( ~ ( ( ( ti @ SV67 @ SV266 )
!= ( ti @ SV67 @ SV318 ) ) )
| ( hBOOL @ ( hAPP @ SV67 @ bool @ ( hAPP @ SV67 @ ( fun @ SV67 @ bool ) @ ( ord_less @ SV67 ) @ SV266 ) @ SV318 ) )
| ( hBOOL @ ( hAPP @ SV67 @ bool @ ( hAPP @ SV67 @ ( fun @ SV67 @ bool ) @ ( ord_less @ SV67 ) @ SV318 ) @ SV266 ) ) )
| ~ ( ~ ( ( hBOOL @ ( hAPP @ SV67 @ bool @ ( hAPP @ SV67 @ ( fun @ SV67 @ bool ) @ ( ord_less @ SV67 ) @ SV266 ) @ SV318 ) )
| ( hBOOL @ ( hAPP @ SV67 @ bool @ ( hAPP @ SV67 @ ( fun @ SV67 @ bool ) @ ( ord_less @ SV67 ) @ SV318 ) @ SV266 ) ) )
| ( ( ti @ SV67 @ SV266 )
!= ( ti @ SV67 @ SV318 ) ) ) )
= $false )
| ( ( linorder @ SV67 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1047]) ).
thf(1130,plain,
! [SV267: $i,SV354: $i,SV319: $i,SV68: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV68 @ bool @ ( hAPP @ SV68 @ ( fun @ SV68 @ bool ) @ ( ord_less @ SV68 ) @ SV319 ) @ SV354 ) )
| ( SV319 != SV267 )
| ( hBOOL @ ( hAPP @ SV68 @ bool @ ( hAPP @ SV68 @ ( fun @ SV68 @ bool ) @ ( ord_less @ SV68 ) @ SV267 ) @ SV354 ) ) )
= $true )
| ( ( order @ SV68 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1048]) ).
thf(1131,plain,
! [SV219: $i,SV268: $i,SV355: $i,SV320: $i,SV165: $i,SV69: $i] :
( ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV69 @ bool ) @ bool @ ( hAPP @ ( fun @ SV69 @ SV165 ) @ ( fun @ ( fun @ SV69 @ bool ) @ bool ) @ ( inj_on @ SV69 @ SV165 ) @ SV320 ) @ SV355 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV69 @ bool ) @ bool @ ( hAPP @ SV69 @ ( fun @ ( fun @ SV69 @ bool ) @ bool ) @ ( member @ SV69 ) @ SV268 ) @ SV355 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV69 @ bool ) @ bool @ ( hAPP @ SV69 @ ( fun @ ( fun @ SV69 @ bool ) @ bool ) @ ( member @ SV69 ) @ SV219 ) @ SV355 ) )
| ~ ( ~ ( ( ( hAPP @ SV69 @ SV165 @ SV320 @ SV268 )
!= ( hAPP @ SV69 @ SV165 @ SV320 @ SV219 ) )
| ( ( ti @ SV69 @ SV268 )
= ( ti @ SV69 @ SV219 ) ) )
| ~ ( ( ( ti @ SV69 @ SV268 )
!= ( ti @ SV69 @ SV219 ) )
| ( ( hAPP @ SV69 @ SV165 @ SV320 @ SV268 )
= ( hAPP @ SV69 @ SV165 @ SV320 @ SV219 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1049]) ).
thf(1132,plain,
! [SV166: $i,SV70: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ arrow_1384031255e_indi @ bool @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ bool ) @ arrow_1990387629ctator @ SV70 ) @ SV166 ) ) )
= $true )
| ( ( ! [SY782: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SY782 ) @ arrow_1834574746e_Prof ) )
| ( ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV70 @ SY782 )
= ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY782 @ SV166 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1050]) ).
thf(1133,plain,
! [SV166: $i,SV70: $i] :
( ( ( ~ ! [SY783: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SY783 ) @ arrow_1834574746e_Prof ) )
| ( ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV70 @ SY783 )
= ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY783 @ SV166 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ arrow_1384031255e_indi @ bool @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ bool ) @ arrow_1990387629ctator @ SV70 ) @ SV166 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1051]) ).
thf(1134,plain,
! [SV321: $i,SV269: $i,SV71: $i] :
( ( ( ~ ( ( ( ti @ SV71 @ SV269 )
!= ( ti @ SV71 @ SV321 ) ) ) )
= $true )
| ( ( ~ ~ ( hBOOL @ ( hAPP @ SV71 @ bool @ ( hAPP @ SV71 @ ( fun @ SV71 @ bool ) @ ( ord_less @ SV71 ) @ SV269 ) @ SV321 ) )
| ( hBOOL @ ( hAPP @ SV71 @ bool @ ( hAPP @ SV71 @ ( fun @ SV71 @ bool ) @ ( ord_less @ SV71 ) @ SV321 ) @ SV269 ) ) )
= $true )
| ( ( linorder @ SV71 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1052]) ).
thf(1135,plain,
! [SV322: $i,SV270: $i,SV72: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV72 @ bool @ ( hAPP @ SV72 @ ( fun @ SV72 @ bool ) @ ( ord_less @ SV72 ) @ SV270 ) @ SV322 ) ) )
= $true )
| ( ( SV322 != SV270 )
= $true )
| ( ( order @ SV72 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1053]) ).
thf(1136,plain,
! [SV323: $i,SV272: $i,SV74: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV74 @ bool @ ( hAPP @ SV74 @ ( fun @ SV74 @ bool ) @ ( ord_less @ SV74 ) @ SV272 ) @ SV323 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV74 @ bool @ ( hAPP @ SV74 @ ( fun @ SV74 @ bool ) @ ( ord_less @ SV74 ) @ SV323 ) @ SV272 ) ) )
= $true )
| ( ( preorder @ SV74 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1055]) ).
thf(1137,plain,
! [SV75: $i] :
( ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) ) ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1056]) ).
thf(1138,plain,
! [SV75: $i] :
( ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1057]) ).
thf(1139,plain,
! [SV221: $i,SV273: $i,SV356: $i,SV324: $i,SV168: $i,SV77: $i] :
( ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV77 @ bool ) @ bool @ ( hAPP @ ( fun @ SV77 @ SV168 ) @ ( fun @ ( fun @ SV77 @ bool ) @ bool ) @ ( inj_on @ SV77 @ SV168 ) @ SV324 ) @ SV356 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV77 @ bool ) @ bool @ ( hAPP @ SV77 @ ( fun @ ( fun @ SV77 @ bool ) @ bool ) @ ( member @ SV77 ) @ SV273 ) @ SV356 ) )
| ( ( hAPP @ SV77 @ SV168 @ SV324 @ SV273 )
!= ( ti @ SV168 @ SV221 ) )
| ( ( hAPP @ SV168 @ SV77 @ ( hAPP @ ( fun @ SV77 @ SV168 ) @ ( fun @ SV168 @ SV77 ) @ ( hAPP @ ( fun @ SV77 @ bool ) @ ( fun @ ( fun @ SV77 @ SV168 ) @ ( fun @ SV168 @ SV77 ) ) @ ( hilbert_inv_into @ SV77 @ SV168 ) @ SV356 ) @ SV324 ) @ SV221 )
= ( ti @ SV77 @ SV273 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1061]) ).
thf(1140,plain,
! [SV222: $i,SV169: $i,SV78: $i] :
( ( ( ! [SY1048: $i] :
( ( ( hAPP @ SV78 @ SV169 @ SV222 @ ( sK1_SY902 @ SV222 @ SV169 @ SV78 ) )
!= ( hAPP @ SV78 @ SV169 @ SV222 @ SY1048 ) )
| ( ( ti @ SV78 @ ( sK1_SY902 @ SV222 @ SV169 @ SV78 ) )
= ( ti @ SV78 @ SY1048 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV78 @ bool ) @ bool @ ( hAPP @ ( fun @ SV78 @ SV169 ) @ ( fun @ ( fun @ SV78 @ bool ) @ bool ) @ ( inj_on @ SV78 @ SV169 ) @ SV222 ) @ ( top_top @ ( fun @ SV78 @ bool ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1062]) ).
thf(1141,plain,
! [SV223: $i,SV274: $i,SV170: $i,SV79: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ SV79 @ bool ) @ bool @ ( hAPP @ ( fun @ SV79 @ SV170 ) @ ( fun @ ( fun @ SV79 @ bool ) @ bool ) @ ( inj_on @ SV79 @ SV170 ) @ SV274 ) @ ( top_top @ ( fun @ SV79 @ bool ) ) ) )
= $false )
| ( ( ~ ! [SY986: $i] :
( ( hAPP @ SV79 @ SV170 @ SV274 @ ( hAPP @ SV170 @ SV79 @ SV223 @ SY986 ) )
= ( ti @ SV170 @ SY986 ) )
| ( ( hAPP @ ( fun @ SV79 @ SV170 ) @ ( fun @ SV170 @ SV79 ) @ ( hAPP @ ( fun @ SV79 @ bool ) @ ( fun @ ( fun @ SV79 @ SV170 ) @ ( fun @ SV170 @ SV79 ) ) @ ( hilbert_inv_into @ SV79 @ SV170 ) @ ( top_top @ ( fun @ SV79 @ bool ) ) ) @ SV274 )
= ( ti @ ( fun @ SV170 @ SV79 ) @ SV223 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1063]) ).
thf(1142,plain,
! [SV80: $i,SV224: $i,SV171: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV171 )
= ( ti @ arrow_1212486748le_alt @ SV224 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV80 ) @ arrow_638930832le_Lin ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV80 ) @ SV171 ) @ SV224 ) ) @ arrow_638930832le_Lin ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1064]) ).
thf(1143,plain,
! [SV275: $i,SV225: $i,SV357: $i,SV325: $i,SV172: $i,SV81: $i] :
( ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV81 @ bool ) @ bool @ ( hAPP @ ( fun @ SV81 @ SV172 ) @ ( fun @ ( fun @ SV81 @ bool ) @ bool ) @ ( inj_on @ SV81 @ SV172 ) @ SV325 ) @ SV357 ) )
| ~ ( ( ( ti @ SV81 @ SV225 )
!= ( ti @ SV81 @ SV275 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV81 @ bool ) @ bool @ ( hAPP @ SV81 @ ( fun @ ( fun @ SV81 @ bool ) @ bool ) @ ( member @ SV81 ) @ SV225 ) @ SV357 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV81 @ bool ) @ bool @ ( hAPP @ SV81 @ ( fun @ ( fun @ SV81 @ bool ) @ bool ) @ ( member @ SV81 ) @ SV275 ) @ SV357 ) )
| ( ( hAPP @ SV81 @ SV172 @ SV325 @ SV225 )
!= ( hAPP @ SV81 @ SV172 @ SV325 @ SV275 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1065]) ).
thf(1144,plain,
! [SV276: $i,SV226: $i,SV173: $i,SV82: $i] :
( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ SV226 ) @ SV276 ) ) )
| ~ ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV173 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV173 ) ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ SV226 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1066]) ).
thf(1145,plain,
! [SV226: $i,SV82: $i,SV276: $i,SV173: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV173 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV173 ) ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ SV226 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ SV226 ) @ SV276 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1066]) ).
thf(1146,plain,
! [SV227: $i,SV174: $i,SV83: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV83 ) @ SV174 ) ) @ SV227 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV174 ) @ SV83 ) ) @ SV227 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV227 ) @ arrow_638930832le_Lin ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1067]) ).
thf(1147,plain,
! [SV84: $i,SV175: $i,SV277: $i,SV228: $i,SV358: $i,SV326: $i] :
( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
!= ( ti @ arrow_1212486748le_alt @ SV358 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV228 )
!= ( ti @ arrow_1212486748le_alt @ SV277 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
!= ( ti @ arrow_1212486748le_alt @ SV277 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV358 )
!= ( ti @ arrow_1212486748le_alt @ SV228 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV175 ) @ arrow_1834574746e_Prof ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV84 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY1049: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ SY1049 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ SY1049 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ SY1049 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ SY1049 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1068]) ).
thf(1148,plain,
! [SV278: $i,SV359: $i,SV327: $i,SV85: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV85 @ bool @ ( hAPP @ SV85 @ ( fun @ SV85 @ bool ) @ ( ord_less @ SV85 ) @ SV327 ) @ SV359 ) )
| ( SV359 != SV278 )
| ( hBOOL @ ( hAPP @ SV85 @ bool @ ( hAPP @ SV85 @ ( fun @ SV85 @ bool ) @ ( ord_less @ SV85 ) @ SV327 ) @ SV278 ) ) )
= $true )
| ( ( ord @ SV85 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1069]) ).
thf(1149,plain,
! [SV279: $i,SV87: $i,SV360: $i,SV328: $i] :
( ( ( ( SV328 != SV360 )
| ~ ( hBOOL @ ( hAPP @ SV87 @ bool @ ( hAPP @ SV87 @ ( fun @ SV87 @ bool ) @ ( ord_less @ SV87 ) @ SV279 ) @ SV360 ) )
| ( hBOOL @ ( hAPP @ SV87 @ bool @ ( hAPP @ SV87 @ ( fun @ SV87 @ bool ) @ ( ord_less @ SV87 ) @ SV279 ) @ SV328 ) ) )
= $true )
| ( ( order @ SV87 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1070]) ).
thf(1150,plain,
! [SV329: $i,SV280: $i,SV88: $i] :
( ( ( ~ ~ ( hBOOL @ ( hAPP @ SV88 @ bool @ ( hAPP @ SV88 @ ( fun @ SV88 @ bool ) @ ( ord_less @ SV88 ) @ SV280 ) @ SV329 ) ) )
= $true )
| ( ( ~ ( ( ( ti @ SV88 @ SV280 )
!= ( ti @ SV88 @ SV329 ) ) )
| ( hBOOL @ ( hAPP @ SV88 @ bool @ ( hAPP @ SV88 @ ( fun @ SV88 @ bool ) @ ( ord_less @ SV88 ) @ SV329 ) @ SV280 ) ) )
= $true )
| ( ( linorder @ SV88 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1071]) ).
thf(1151,plain,
! [SV89: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $false )
| ( ( ! [SY612: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SY612 ) @ arrow_1834574746e_Prof ) )
| ! [SY613: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SY613 ) @ arrow_1834574746e_Prof ) )
| ! [SY614: $i,SY615: $i] :
( ~ ! [SX5: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY614 ) @ SY615 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY612 @ SX5 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY614 ) @ SY615 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY613 @ SX5 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY614 ) @ SY615 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY613 @ SX5 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY614 ) @ SY615 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY612 @ SX5 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY614 ) @ SY615 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SY612 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY614 ) @ SY615 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SY613 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY614 ) @ SY615 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SY613 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY614 ) @ SY615 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SY612 ) ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1072]) ).
thf(1152,plain,
! [SV89: $i] :
( ( ( ! [SY617: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SY617 ) @ arrow_1834574746e_Prof ) )
| ! [SY618: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SY618 ) @ arrow_1834574746e_Prof ) )
| ! [SY619: $i,SY620: $i] :
( ~ ! [SX5: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY619 ) @ SY620 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY617 @ SX5 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY619 ) @ SY620 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY618 @ SX5 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY619 ) @ SY620 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY618 @ SX5 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY619 ) @ SY620 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY617 @ SX5 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY619 ) @ SY620 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SY617 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY619 ) @ SY620 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SY618 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY619 ) @ SY620 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SY618 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY619 ) @ SY620 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SY617 ) ) ) ) ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1073]) ).
thf(1153,plain,
! [SV229: $i,SV177: $i,SV90: $i] :
( ( ~ ! [SY914: $i] : ( hBOOL @ ( hAPP @ ( product_prod @ SV90 @ SV177 ) @ bool @ SV229 @ SY914 ) )
| ! [SY915: $i,SY916: $i] : ( hBOOL @ ( hAPP @ ( product_prod @ SV90 @ SV177 ) @ bool @ SV229 @ ( hAPP @ SV177 @ ( product_prod @ SV90 @ SV177 ) @ ( hAPP @ SV90 @ ( fun @ SV177 @ ( product_prod @ SV90 @ SV177 ) ) @ ( product_Pair @ SV90 @ SV177 ) @ SY915 ) @ SY916 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1074]) ).
thf(1154,plain,
! [SV229: $i,SV177: $i,SV90: $i] :
( ( ~ ! [SY917: $i,SY918: $i] : ( hBOOL @ ( hAPP @ ( product_prod @ SV90 @ SV177 ) @ bool @ SV229 @ ( hAPP @ SV177 @ ( product_prod @ SV90 @ SV177 ) @ ( hAPP @ SV90 @ ( fun @ SV177 @ ( product_prod @ SV90 @ SV177 ) ) @ ( product_Pair @ SV90 @ SV177 ) @ SY917 ) @ SY918 ) ) )
| ! [SY919: $i] : ( hBOOL @ ( hAPP @ ( product_prod @ SV90 @ SV177 ) @ bool @ SV229 @ SY919 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1075]) ).
thf(1155,plain,
! [SV281: $i,SV230: $i,SV179: $i,SV93: $i] :
( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ ( fun @ SV93 @ SV179 ) @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( inj_on @ SV93 @ SV179 ) @ SV230 ) @ SV281 ) )
| ! [SY997: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ SV93 @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( member @ SV93 ) @ SY997 ) @ SV281 ) )
| ! [SY998: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ SV93 @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( member @ SV93 ) @ SY998 ) @ SV281 ) )
| ( ( hAPP @ SV93 @ SV179 @ SV230 @ SY997 )
!= ( hAPP @ SV93 @ SV179 @ SV230 @ SY998 ) )
| ( ( ti @ SV93 @ SY997 )
= ( ti @ SV93 @ SY998 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1076]) ).
thf(1156,plain,
! [SV230: $i,SV179: $i,SV281: $i,SV93: $i] :
( ( ~ ( ~ ! [SY999: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ SV93 @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( member @ SV93 ) @ SY999 ) @ SV281 ) )
| ! [SY1000: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ SV93 @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( member @ SV93 ) @ SY1000 ) @ SV281 ) )
| ( ( hAPP @ SV93 @ SV179 @ SV230 @ SY999 )
!= ( hAPP @ SV93 @ SV179 @ SV230 @ SY1000 ) )
| ( ( ti @ SV93 @ SY999 )
= ( ti @ SV93 @ SY1000 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ ( fun @ SV93 @ SV179 ) @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( inj_on @ SV93 @ SV179 ) @ SV230 ) @ SV281 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1076]) ).
thf(1157,plain,
! [SV282: $i,SV361: $i,SV330: $i,SV94: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV94 @ bool @ ( hAPP @ SV94 @ ( fun @ SV94 @ bool ) @ ( ord_less @ SV94 ) @ SV330 ) @ SV361 ) )
| ~ ( hBOOL @ ( hAPP @ SV94 @ bool @ ( hAPP @ SV94 @ ( fun @ SV94 @ bool ) @ ( ord_less @ SV94 ) @ SV282 ) @ SV330 ) )
| ( hBOOL @ ( hAPP @ SV94 @ bool @ ( hAPP @ SV94 @ ( fun @ SV94 @ bool ) @ ( ord_less @ SV94 ) @ SV282 ) @ SV361 ) ) )
= $true )
| ( ( order @ SV94 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1079]) ).
thf(1158,plain,
! [SV231: $i,SV283: $i,SV180: $i,SV96: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ SV96 @ bool ) @ bool @ ( hAPP @ ( fun @ SV96 @ SV180 ) @ ( fun @ ( fun @ SV96 @ bool ) @ bool ) @ ( inj_on @ SV96 @ SV180 ) @ SV283 ) @ ( top_top @ ( fun @ SV96 @ bool ) ) ) )
= $false )
| ( ( ( hAPP @ SV180 @ SV96 @ ( hAPP @ ( fun @ SV96 @ SV180 ) @ ( fun @ SV180 @ SV96 ) @ ( hAPP @ ( fun @ SV96 @ bool ) @ ( fun @ ( fun @ SV96 @ SV180 ) @ ( fun @ SV180 @ SV96 ) ) @ ( hilbert_inv_into @ SV96 @ SV180 ) @ ( top_top @ ( fun @ SV96 @ bool ) ) ) @ SV283 ) @ ( hAPP @ SV96 @ SV180 @ SV283 @ SV231 ) )
= ( ti @ SV96 @ SV231 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1080]) ).
thf(1159,plain,
! [SV232: $i,SV181: $i,SV97: $i] :
( ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV97 )
!= ( ti @ arrow_1212486748le_alt @ SV181 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV97 ) @ SV181 ) ) @ SV232 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV181 ) @ SV97 ) ) @ SV232 ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV181 ) @ SV97 ) ) @ SV232 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV97 ) @ SV181 ) ) @ SV232 ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV232 ) @ arrow_638930832le_Lin ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1081]) ).
thf(1160,plain,
! [SV331: $i,SV284: $i,SV98: $i] :
( ( ( ~ ~ ( hBOOL @ ( hAPP @ SV98 @ bool @ ( hAPP @ SV98 @ ( fun @ SV98 @ bool ) @ ( ord_less @ SV98 ) @ SV284 ) @ SV331 ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ~ ( hBOOL @ ( hAPP @ SV98 @ bool @ ( hAPP @ SV98 @ ( fun @ SV98 @ bool ) @ ( ord_less @ SV98 ) @ SV331 ) @ SV284 ) )
| ( ( ti @ SV98 @ SV331 )
= ( ti @ SV98 @ SV284 ) ) )
| ~ ( ( ( ti @ SV98 @ SV331 )
!= ( ti @ SV98 @ SV284 ) )
| ~ ( hBOOL @ ( hAPP @ SV98 @ bool @ ( hAPP @ SV98 @ ( fun @ SV98 @ bool ) @ ( ord_less @ SV98 ) @ SV331 ) @ SV284 ) ) ) ) )
= $true )
| ( ( linorder @ SV98 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1082]) ).
thf(1161,plain,
! [SV233: $i,SV182: $i,SV99: $i] :
( ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV99 @ bool ) @ bool @ ( hAPP @ SV99 @ ( fun @ ( fun @ SV99 @ bool ) @ bool ) @ ( member @ SV99 ) @ SV182 ) @ SV233 ) )
| ( hBOOL @ ( hAPP @ SV99 @ bool @ SV233 @ SV182 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1083]) ).
thf(1162,plain,
! [SV182: $i,SV233: $i,SV99: $i] :
( ( ~ ( hBOOL @ ( hAPP @ SV99 @ bool @ SV233 @ SV182 ) )
| ( hBOOL @ ( hAPP @ ( fun @ SV99 @ bool ) @ bool @ ( hAPP @ SV99 @ ( fun @ ( fun @ SV99 @ bool ) @ bool ) @ ( member @ SV99 ) @ SV182 ) @ SV233 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1084]) ).
thf(1163,plain,
! [SV100: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1085]) ).
thf(1164,plain,
! [SV100: $i] :
( ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) ) ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1086]) ).
thf(1165,plain,
! [SV285: $i,SV234: $i,SV183: $i,SV101: $i] :
( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ SV234 ) @ SV285 ) ) )
| ~ ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV101 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV101 )
!= ( ti @ arrow_1212486748le_alt @ SV183 ) ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ SV234 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1087]) ).
thf(1166,plain,
! [SV234: $i,SV183: $i,SV285: $i,SV101: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV101 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV101 )
!= ( ti @ arrow_1212486748le_alt @ SV183 ) ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ SV234 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ SV234 ) @ SV285 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1087]) ).
thf(1167,plain,
! [SV332: $i,SV286: $i,SV102: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV102 @ bool @ ( hAPP @ SV102 @ ( fun @ SV102 @ bool ) @ ( ord_less @ SV102 ) @ SV286 ) @ SV332 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV102 @ bool @ ( hAPP @ SV102 @ ( fun @ SV102 @ bool ) @ ( ord_less @ SV102 ) @ SV332 ) @ SV286 ) ) )
= $true )
| ( ( preorder @ SV102 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1088]) ).
thf(1168,plain,
! [SV333: $i,SV287: $i,SV103: $i] :
( ( ( ~ ( ~ ~ ( hBOOL @ ( hAPP @ SV103 @ bool @ ( hAPP @ SV103 @ ( fun @ SV103 @ bool ) @ ( ord_less @ SV103 ) @ SV287 ) @ SV333 ) )
| ( hBOOL @ ( hAPP @ SV103 @ bool @ ( hAPP @ SV103 @ ( fun @ SV103 @ bool ) @ ( ord_less @ SV103 ) @ SV333 ) @ SV287 ) )
| ( ( ti @ SV103 @ SV287 )
= ( ti @ SV103 @ SV333 ) ) )
| ~ ( ~ ( ( hBOOL @ ( hAPP @ SV103 @ bool @ ( hAPP @ SV103 @ ( fun @ SV103 @ bool ) @ ( ord_less @ SV103 ) @ SV333 ) @ SV287 ) )
| ( ( ti @ SV103 @ SV287 )
= ( ti @ SV103 @ SV333 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV103 @ bool @ ( hAPP @ SV103 @ ( fun @ SV103 @ bool ) @ ( ord_less @ SV103 ) @ SV287 ) @ SV333 ) ) ) )
= $false )
| ( ( linorder @ SV103 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1089]) ).
thf(1169,plain,
! [SV104: $i,SV184: $i,SV288: $i,SV235: $i,SV362: $i,SV334: $i] :
( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
!= ( ti @ arrow_1212486748le_alt @ SV362 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV235 )
!= ( ti @ arrow_1212486748le_alt @ SV288 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
!= ( ti @ arrow_1212486748le_alt @ SV288 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV362 )
!= ( ti @ arrow_1212486748le_alt @ SV235 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV184 ) @ arrow_1834574746e_Prof ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV104 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY1050: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV184 @ SY1050 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV104 @ SY1050 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV104 @ SY1050 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV184 @ SY1050 ) ) ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV184 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV104 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1090]) ).
thf(1170,plain,
! [SV335: $i,SV289: $i,SV105: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV105 @ bool @ ( hAPP @ SV105 @ ( fun @ SV105 @ bool ) @ ( ord_less @ SV105 ) @ SV289 ) @ SV335 ) ) )
= $true )
| ( ( SV289 != SV335 )
= $true )
| ( ( order @ SV105 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1091]) ).
thf(1171,plain,
! [SV106: $i,SV185: $i,SV236: $i,SV336: $i,SV290: $i] :
( ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
!= ( ti @ arrow_1212486748le_alt @ SV336 ) ) ) )
= $true )
| ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV336 )
!= ( ti @ arrow_1212486748le_alt @ SV236 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
!= ( ti @ arrow_1212486748le_alt @ SV236 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV185 ) @ arrow_1834574746e_Prof ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV106 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY1044: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ SY1044 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ SY1044 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ SY1044 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ SY1044 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1092]) ).
thf(1172,plain,
! [SV337: $i,SV291: $i,SV107: $i] :
( ( ( ( hBOOL @ ( hAPP @ SV107 @ bool @ ( hAPP @ SV107 @ ( fun @ SV107 @ bool ) @ ( ord_less @ SV107 ) @ SV291 ) @ SV337 ) )
| ( ( ti @ SV107 @ SV291 )
= ( ti @ SV107 @ SV337 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV107 @ bool @ ( hAPP @ SV107 @ ( fun @ SV107 @ bool ) @ ( ord_less @ SV107 ) @ SV337 ) @ SV291 ) )
= $true )
| ( ( linorder @ SV107 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1093]) ).
thf(1173,plain,
! [SV292: $i,SV237: $i,SV363: $i,SV338: $i,SV187: $i,SV109: $i] :
( ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV109 @ bool ) @ bool @ ( hAPP @ ( fun @ SV109 @ SV187 ) @ ( fun @ ( fun @ SV109 @ bool ) @ bool ) @ ( inj_on @ SV109 @ SV187 ) @ SV338 ) @ SV363 ) )
| ( ( hAPP @ SV109 @ SV187 @ SV338 @ SV237 )
!= ( hAPP @ SV109 @ SV187 @ SV338 @ SV292 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV109 @ bool ) @ bool @ ( hAPP @ SV109 @ ( fun @ ( fun @ SV109 @ bool ) @ bool ) @ ( member @ SV109 ) @ SV237 ) @ SV363 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV109 @ bool ) @ bool @ ( hAPP @ SV109 @ ( fun @ ( fun @ SV109 @ bool ) @ bool ) @ ( member @ SV109 ) @ SV292 ) @ SV363 ) )
| ( ( ti @ SV109 @ SV237 )
= ( ti @ SV109 @ SV292 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1094]) ).
thf(1174,plain,
! [SV339: $i,SV293: $i,SV110: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV110 @ bool @ ( hAPP @ SV110 @ ( fun @ SV110 @ bool ) @ ( ord_less @ SV110 ) @ SV293 ) @ SV339 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV110 @ bool @ ( hAPP @ SV110 @ ( fun @ SV110 @ bool ) @ ( ord_less @ SV110 ) @ SV339 ) @ SV293 ) ) )
= $true )
| ( ( preorder @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1095]) ).
thf(1175,plain,
! [SV294: $i,SV364: $i,SV340: $i,SV111: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV111 @ bool @ ( hAPP @ SV111 @ ( fun @ SV111 @ bool ) @ ( ord_less @ SV111 ) @ SV340 ) @ SV364 ) )
| ~ ( hBOOL @ ( hAPP @ SV111 @ bool @ ( hAPP @ SV111 @ ( fun @ SV111 @ bool ) @ ( ord_less @ SV111 ) @ SV364 ) @ SV340 ) )
| ( hBOOL @ SV294 ) )
= $true )
| ( ( preorder @ SV111 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1096]) ).
thf(1176,plain,
! [SV295: $i,SV113: $i] :
( ( ( ~ ( ~ ( ( ( ti @ SV113 @ SV295 )
!= ( top_top @ SV113 ) ) )
| ( hBOOL @ ( hAPP @ SV113 @ bool @ ( hAPP @ SV113 @ ( fun @ SV113 @ bool ) @ ( ord_less @ SV113 ) @ SV295 ) @ ( top_top @ SV113 ) ) ) ) )
= $false )
| ( ( top @ SV113 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1097]) ).
thf(1177,plain,
! [SV295: $i,SV113: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ SV113 @ bool @ ( hAPP @ SV113 @ ( fun @ SV113 @ bool ) @ ( ord_less @ SV113 ) @ SV295 ) @ ( top_top @ SV113 ) ) )
| ( ( ti @ SV113 @ SV295 )
!= ( top_top @ SV113 ) ) ) )
= $false )
| ( ( top @ SV113 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1097]) ).
thf(1178,plain,
! [SV296: $i,SV238: $i,SV188: $i,SV114: $i] :
( ( ( ! [SY1018: $i] :
( ( hAPP @ SV114 @ SV188 @ SV238 @ SY1018 )
= ( hAPP @ SV114 @ SV188 @ SV296 @ SY1018 ) ) )
= $false )
| ( ( ( ti @ ( fun @ SV114 @ SV188 ) @ SV238 )
= ( ti @ ( fun @ SV114 @ SV188 ) @ SV296 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1098]) ).
thf(1179,plain,
! [SV341: $i,SV297: $i,SV115: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV115 @ bool @ ( hAPP @ SV115 @ ( fun @ SV115 @ bool ) @ ( ord_less @ SV115 ) @ SV297 ) @ SV341 ) ) )
= $true )
| ( ( SV297 != SV341 )
= $true )
| ( ( order @ SV115 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1099]) ).
thf(1180,plain,
! [SV247: $i,SV205: $i,SV302: $i,SV145: $i,SV40: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ SV40 @ bool ) @ bool @ ( hAPP @ ( fun @ SV40 @ SV145 ) @ ( fun @ ( fun @ SV40 @ bool ) @ bool ) @ ( inj_on @ SV40 @ SV145 ) @ SV302 ) @ ( top_top @ ( fun @ SV40 @ bool ) ) ) )
= $false )
| ( ( ( ( hAPP @ SV40 @ SV145 @ SV302 @ SV205 )
!= ( hAPP @ SV40 @ SV145 @ SV302 @ SV247 ) )
| ( ( ti @ SV40 @ SV205 )
= ( ti @ SV40 @ SV247 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1104]) ).
thf(1181,plain,
! [SV41: $i,SV146: $i] :
( ( ( ~ ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( sK2_SY725 @ SV146 @ SV41 ) ) @ arrow_638930832le_Lin ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV41 ) @ SV146 ) ) @ ( sK2_SY725 @ SV146 @ SV41 ) ) ) ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV41 )
= ( ti @ arrow_1212486748le_alt @ SV146 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1105]) ).
thf(1182,plain,
! [SV43: $i,SV365: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV365 ) @ arrow_1834574746e_Prof ) )
| ! [SY1051: $i,SY1052: $i] :
( ~ ! [SY1053: $i] : ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1051 ) @ SY1052 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV365 @ SY1053 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1051 ) @ SY1052 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV43 @ SV365 ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_1932713123nimity @ SV43 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1106]) ).
thf(1183,plain,
! [SV43: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( sK3_SY466 @ SV43 ) ) @ arrow_1834574746e_Prof ) )
| ! [SY1054: $i,SY1055: $i] :
( ~ ! [SY1056: $i] : ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1054 ) @ SY1055 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( sK3_SY466 @ SV43 ) @ SY1056 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1054 ) @ SY1055 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV43 @ ( sK3_SY466 @ SV43 ) ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_1932713123nimity @ SV43 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1107]) ).
thf(1184,plain,
! [SV207: $i,SV346: $i,SV303: $i,SV249: $i,SV150: $i,SV46: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ SV46 @ SV150 ) @ bool ) @ bool @ ( hAPP @ ( fun @ SV46 @ SV150 ) @ ( fun @ ( fun @ ( fun @ SV46 @ SV150 ) @ bool ) @ bool ) @ ( member @ ( fun @ SV46 @ SV150 ) ) @ SV249 ) @ ( hAPP @ ( fun @ SV46 @ ( fun @ SV150 @ bool ) ) @ ( fun @ ( fun @ SV46 @ SV150 ) @ bool ) @ ( hAPP @ ( fun @ SV46 @ bool ) @ ( fun @ ( fun @ SV46 @ ( fun @ SV150 @ bool ) ) @ ( fun @ ( fun @ SV46 @ SV150 ) @ bool ) ) @ ( pi @ SV46 @ SV150 ) @ SV303 ) @ SV346 ) ) ) )
= $true )
| ( ( ~ ~ ( hBOOL @ ( hAPP @ ( fun @ SV150 @ bool ) @ bool @ ( hAPP @ SV150 @ ( fun @ ( fun @ SV150 @ bool ) @ bool ) @ ( member @ SV150 ) @ ( hAPP @ SV46 @ SV150 @ SV249 @ SV207 ) ) @ ( hAPP @ SV46 @ ( fun @ SV150 @ bool ) @ SV346 @ SV207 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV46 @ bool ) @ bool @ ( hAPP @ SV46 @ ( fun @ ( fun @ SV46 @ bool ) @ bool ) @ ( member @ SV46 ) @ SV207 ) @ SV303 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1109]) ).
thf(1185,plain,
! [SV208: $i,SV347: $i,SV304: $i,SV250: $i,SV151: $i,SV47: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ SV47 @ SV151 ) @ bool ) @ bool @ ( hAPP @ ( fun @ SV47 @ SV151 ) @ ( fun @ ( fun @ ( fun @ SV47 @ SV151 ) @ bool ) @ bool ) @ ( member @ ( fun @ SV47 @ SV151 ) ) @ SV250 ) @ ( hAPP @ ( fun @ SV47 @ ( fun @ SV151 @ bool ) ) @ ( fun @ ( fun @ SV47 @ SV151 ) @ bool ) @ ( hAPP @ ( fun @ SV47 @ bool ) @ ( fun @ ( fun @ SV47 @ ( fun @ SV151 @ bool ) ) @ ( fun @ ( fun @ SV47 @ SV151 ) @ bool ) ) @ ( pi @ SV47 @ SV151 ) @ SV304 ) @ SV347 ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV47 @ bool ) @ bool @ ( hAPP @ SV47 @ ( fun @ ( fun @ SV47 @ bool ) @ bool ) @ ( member @ SV47 ) @ SV208 ) @ SV304 ) )
| ( hBOOL @ ( hAPP @ ( fun @ SV151 @ bool ) @ bool @ ( hAPP @ SV151 @ ( fun @ ( fun @ SV151 @ bool ) @ bool ) @ ( member @ SV151 ) @ ( hAPP @ SV47 @ SV151 @ SV250 @ SV208 ) ) @ ( hAPP @ SV47 @ ( fun @ SV151 @ bool ) @ SV347 @ SV208 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1110]) ).
thf(1186,plain,
! [SV348: $i,SV305: $i,SV251: $i,SV209: $i,SV152: $i,SV48: $i] :
( ( ~ ( ( ( hAPP @ SV48 @ ( product_prod @ SV152 @ SV48 ) @ ( hAPP @ SV152 @ ( fun @ SV48 @ ( product_prod @ SV152 @ SV48 ) ) @ ( product_Pair @ SV152 @ SV48 ) @ SV209 ) @ SV251 )
!= ( hAPP @ SV48 @ ( product_prod @ SV152 @ SV48 ) @ ( hAPP @ SV152 @ ( fun @ SV48 @ ( product_prod @ SV152 @ SV48 ) ) @ ( product_Pair @ SV152 @ SV48 ) @ SV305 ) @ SV348 ) )
| ~ ( ( ( ti @ SV152 @ SV209 )
!= ( ti @ SV152 @ SV305 ) )
| ( ( ti @ SV48 @ SV251 )
!= ( ti @ SV48 @ SV348 ) ) ) )
| ~ ( ~ ~ ( ( ( ti @ SV152 @ SV209 )
!= ( ti @ SV152 @ SV305 ) )
| ( ( ti @ SV48 @ SV251 )
!= ( ti @ SV48 @ SV348 ) ) )
| ( ( hAPP @ SV48 @ ( product_prod @ SV152 @ SV48 ) @ ( hAPP @ SV152 @ ( fun @ SV48 @ ( product_prod @ SV152 @ SV48 ) ) @ ( product_Pair @ SV152 @ SV48 ) @ SV209 ) @ SV251 )
= ( hAPP @ SV48 @ ( product_prod @ SV152 @ SV48 ) @ ( hAPP @ SV152 @ ( fun @ SV48 @ ( product_prod @ SV152 @ SV48 ) ) @ ( product_Pair @ SV152 @ SV48 ) @ SV305 ) @ SV348 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1111]) ).
thf(1187,plain,
! [SV49: $i,SV153: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( sK4_SY740 @ SV153 @ SV49 ) ) @ arrow_1834574746e_Prof ) )
| ! [SY1057: $i,SY1058: $i] :
( ~ ( ( ( ti @ arrow_1212486748le_alt @ SY1057 )
!= ( ti @ arrow_1212486748le_alt @ SY1058 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1057 ) @ SY1058 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( sK4_SY740 @ SV153 @ SV49 ) @ SV49 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1057 ) @ SY1058 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV153 @ ( sK4_SY740 @ SV153 @ SV49 ) ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ arrow_1384031255e_indi @ bool @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ bool ) @ arrow_1990387629ctator @ SV153 ) @ SV49 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV153 ) @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) ) @ ( pi @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1834574746e_Prof ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( combk @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_638930832le_Lin ) ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1112]) ).
thf(1188,plain,
! [SV210: $i,SV252: $i,SV154: $i,SV50: $i] :
( ( ~ ! [SY954: $i,SY955: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SY954 ) @ SY955 ) ) @ SV252 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SY954 ) @ SY955 ) ) @ SV210 ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SY954 ) @ SY955 ) ) @ SV210 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SY954 ) @ SY955 ) ) @ SV252 ) ) ) )
| ( ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV252 )
= ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV210 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1113]) ).
thf(1189,plain,
! [SV210: $i,SV252: $i,SV154: $i,SV50: $i] :
( ( ( ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV252 )
!= ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV210 ) )
| ! [SY956: $i,SY957: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SY956 ) @ SY957 ) ) @ SV252 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SY956 ) @ SY957 ) ) @ SV210 ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SY956 ) @ SY957 ) ) @ SV210 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SY956 ) @ SY957 ) ) @ SV252 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1114]) ).
thf(1190,plain,
! [SV155: $i,SV51: $i,SV211: $i,SV306: $i,SV253: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
| ~ ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV155 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV253 ) @ SV155 ) ) @ SV211 ) ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV253 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV253 ) ) @ SV211 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) ) ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV155 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV253 ) @ SV155 ) ) @ SV211 ) ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV253 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV253 ) ) @ SV211 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) ) ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1115]) ).
thf(1191,plain,
! [SV254: $i,SV212: $i,SV307: $i,SV156: $i,SV52: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ SV52 @ bool ) @ bool @ ( hAPP @ ( fun @ SV52 @ SV156 ) @ ( fun @ ( fun @ SV52 @ bool ) @ bool ) @ ( inj_on @ SV52 @ SV156 ) @ SV307 ) @ ( top_top @ ( fun @ SV52 @ bool ) ) ) )
= $false )
| ( ( ~ ( ~ ( ( ( hAPP @ SV52 @ SV156 @ SV307 @ SV212 )
!= ( hAPP @ SV52 @ SV156 @ SV307 @ SV254 ) )
| ( ( ti @ SV52 @ SV212 )
= ( ti @ SV52 @ SV254 ) ) )
| ~ ( ( ( ti @ SV52 @ SV212 )
!= ( ti @ SV52 @ SV254 ) )
| ( ( hAPP @ SV52 @ SV156 @ SV307 @ SV212 )
= ( hAPP @ SV52 @ SV156 @ SV307 @ SV254 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1116]) ).
thf(1192,plain,
! [SV213: $i,SV349: $i,SV308: $i,SV255: $i,SV157: $i,SV53: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ SV53 @ SV157 ) @ bool ) @ bool @ ( hAPP @ ( fun @ SV53 @ SV157 ) @ ( fun @ ( fun @ ( fun @ SV53 @ SV157 ) @ bool ) @ bool ) @ ( member @ ( fun @ SV53 @ SV157 ) ) @ SV255 ) @ ( hAPP @ ( fun @ SV53 @ ( fun @ SV157 @ bool ) ) @ ( fun @ ( fun @ SV53 @ SV157 ) @ bool ) @ ( hAPP @ ( fun @ SV53 @ bool ) @ ( fun @ ( fun @ SV53 @ ( fun @ SV157 @ bool ) ) @ ( fun @ ( fun @ SV53 @ SV157 ) @ bool ) ) @ ( pi @ SV53 @ SV157 ) @ SV308 ) @ ( hAPP @ ( fun @ SV157 @ bool ) @ ( fun @ SV53 @ ( fun @ SV157 @ bool ) ) @ ( combk @ ( fun @ SV157 @ bool ) @ SV53 ) @ SV349 ) ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV53 @ bool ) @ bool @ ( hAPP @ SV53 @ ( fun @ ( fun @ SV53 @ bool ) @ bool ) @ ( member @ SV53 ) @ SV213 ) @ SV308 ) )
| ( hBOOL @ ( hAPP @ ( fun @ SV157 @ bool ) @ bool @ ( hAPP @ SV157 @ ( fun @ ( fun @ SV157 @ bool ) @ bool ) @ ( member @ SV157 ) @ ( hAPP @ SV53 @ SV157 @ SV255 @ SV213 ) ) @ SV349 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1117]) ).
thf(1193,plain,
! [SV54: $i,SV158: $i,SV256: $i,SV214: $i,SV350: $i,SV309: $i] :
( ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV309 )
!= ( ti @ arrow_1212486748le_alt @ SV350 ) ) ) )
= $true )
| ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV214 )
!= ( ti @ arrow_1212486748le_alt @ SV256 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV158 ) @ arrow_1834574746e_Prof ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV54 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY1047: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ SY1047 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ SY1047 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ SY1047 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ SY1047 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1118]) ).
thf(1194,plain,
! [SV215: $i,SV310: $i,SV257: $i,SV159: $i,SV56: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ SV56 @ bool ) @ bool @ ( hAPP @ ( fun @ SV56 @ SV159 ) @ ( fun @ ( fun @ SV56 @ bool ) @ bool ) @ ( inj_on @ SV56 @ SV159 ) @ SV257 ) @ SV310 ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV56 @ bool ) @ bool @ ( hAPP @ SV56 @ ( fun @ ( fun @ SV56 @ bool ) @ bool ) @ ( member @ SV56 ) @ SV215 ) @ SV310 ) )
| ( ( hAPP @ SV159 @ SV56 @ ( hAPP @ ( fun @ SV56 @ SV159 ) @ ( fun @ SV159 @ SV56 ) @ ( hAPP @ ( fun @ SV56 @ bool ) @ ( fun @ ( fun @ SV56 @ SV159 ) @ ( fun @ SV159 @ SV56 ) ) @ ( hilbert_inv_into @ SV56 @ SV159 ) @ SV310 ) @ SV257 ) @ ( hAPP @ SV56 @ SV159 @ SV257 @ SV215 ) )
= ( ti @ SV56 @ SV215 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1121]) ).
thf(1195,plain,
! [SV258: $i,SV57: $i,SV351: $i,SV311: $i] :
( ( ( SV311 != SV351 )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV57 @ bool @ ( hAPP @ SV57 @ ( fun @ SV57 @ bool ) @ ( ord_less @ SV57 ) @ SV351 ) @ SV258 ) )
| ( hBOOL @ ( hAPP @ SV57 @ bool @ ( hAPP @ SV57 @ ( fun @ SV57 @ bool ) @ ( ord_less @ SV57 ) @ SV311 ) @ SV258 ) ) )
= $true )
| ( ( ord @ SV57 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1122]) ).
thf(1196,plain,
! [SV59: $i,SV160: $i,SV260: $i,SV216: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV216 )
= ( ti @ arrow_1212486748le_alt @ SV260 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV160 ) @ arrow_1834574746e_Prof ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV59 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY968: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ SY968 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ SY968 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ SY968 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ SY968 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1123]) ).
thf(1197,plain,
! [SV312: $i,SV261: $i,SV60: $i] :
( ( ( hBOOL @ ( hAPP @ SV60 @ bool @ ( hAPP @ SV60 @ ( fun @ SV60 @ bool ) @ ( ord_less @ SV60 ) @ SV261 ) @ SV312 ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ SV60 @ bool @ ( hAPP @ SV60 @ ( fun @ SV60 @ bool ) @ ( ord_less @ SV60 ) @ SV312 ) @ SV261 ) ) )
= $true )
| ( ( preorder @ SV60 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1124]) ).
thf(1198,plain,
! [SV313: $i,SV262: $i,SV61: $i] :
( ( ( hBOOL @ ( hAPP @ SV61 @ bool @ ( hAPP @ SV61 @ ( fun @ SV61 @ bool ) @ ( ord_less @ SV61 ) @ SV262 ) @ SV313 ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ SV61 @ bool @ ( hAPP @ SV61 @ ( fun @ SV61 @ bool ) @ ( ord_less @ SV61 ) @ SV313 ) @ SV262 ) ) )
= $true )
| ( ( order @ SV61 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1125]) ).
thf(1199,plain,
! [SV263: $i,SV217: $i,SV314: $i,SV161: $i,SV62: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ SV62 @ bool ) @ bool @ ( hAPP @ ( fun @ SV62 @ SV161 ) @ ( fun @ ( fun @ SV62 @ bool ) @ bool ) @ ( inj_on @ SV62 @ SV161 ) @ SV314 ) @ ( top_top @ ( fun @ SV62 @ bool ) ) ) )
= $false )
| ( ( ( ( hAPP @ SV62 @ SV161 @ SV314 @ SV217 )
!= ( ti @ SV161 @ SV263 ) )
| ( ( hAPP @ SV161 @ SV62 @ ( hAPP @ ( fun @ SV62 @ SV161 ) @ ( fun @ SV161 @ SV62 ) @ ( hAPP @ ( fun @ SV62 @ bool ) @ ( fun @ ( fun @ SV62 @ SV161 ) @ ( fun @ SV161 @ SV62 ) ) @ ( hilbert_inv_into @ SV62 @ SV161 ) @ ( top_top @ ( fun @ SV62 @ bool ) ) ) @ SV314 ) @ SV263 )
= ( ti @ SV62 @ SV217 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1126]) ).
thf(1200,plain,
! [SV264: $i,SV352: $i,SV316: $i,SV64: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV64 @ bool @ ( hAPP @ SV64 @ ( fun @ SV64 @ bool ) @ ( ord_less @ SV64 ) @ SV316 ) @ SV352 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV64 @ bool @ ( hAPP @ SV64 @ ( fun @ SV64 @ bool ) @ ( ord_less @ SV64 ) @ SV352 ) @ SV264 ) )
| ( hBOOL @ ( hAPP @ SV64 @ bool @ ( hAPP @ SV64 @ ( fun @ SV64 @ bool ) @ ( ord_less @ SV64 ) @ SV316 ) @ SV264 ) ) )
= $true )
| ( ( preorder @ SV64 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1127]) ).
thf(1201,plain,
! [SV353: $i,SV317: $i,SV265: $i,SV218: $i,SV163: $i,SV65: $i] :
( ( ( ( hAPP @ SV65 @ ( product_prod @ SV163 @ SV65 ) @ ( hAPP @ SV163 @ ( fun @ SV65 @ ( product_prod @ SV163 @ SV65 ) ) @ ( product_Pair @ SV163 @ SV65 ) @ SV218 ) @ SV265 )
!= ( hAPP @ SV65 @ ( product_prod @ SV163 @ SV65 ) @ ( hAPP @ SV163 @ ( fun @ SV65 @ ( product_prod @ SV163 @ SV65 ) ) @ ( product_Pair @ SV163 @ SV65 ) @ SV317 ) @ SV353 ) )
= $true )
| ( ( ~ ( ( ( ti @ SV163 @ SV218 )
!= ( ti @ SV163 @ SV317 ) )
| ( ( ti @ SV65 @ SV265 )
!= ( ti @ SV65 @ SV353 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1128]) ).
thf(1202,plain,
! [SV318: $i,SV266: $i,SV67: $i] :
( ( ( ~ ( ~ ( ( ( ti @ SV67 @ SV266 )
!= ( ti @ SV67 @ SV318 ) ) )
| ( hBOOL @ ( hAPP @ SV67 @ bool @ ( hAPP @ SV67 @ ( fun @ SV67 @ bool ) @ ( ord_less @ SV67 ) @ SV266 ) @ SV318 ) )
| ( hBOOL @ ( hAPP @ SV67 @ bool @ ( hAPP @ SV67 @ ( fun @ SV67 @ bool ) @ ( ord_less @ SV67 ) @ SV318 ) @ SV266 ) ) ) )
= $false )
| ( ( linorder @ SV67 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1129]) ).
thf(1203,plain,
! [SV318: $i,SV266: $i,SV67: $i] :
( ( ( ~ ( ~ ( ( hBOOL @ ( hAPP @ SV67 @ bool @ ( hAPP @ SV67 @ ( fun @ SV67 @ bool ) @ ( ord_less @ SV67 ) @ SV266 ) @ SV318 ) )
| ( hBOOL @ ( hAPP @ SV67 @ bool @ ( hAPP @ SV67 @ ( fun @ SV67 @ bool ) @ ( ord_less @ SV67 ) @ SV318 ) @ SV266 ) ) )
| ( ( ti @ SV67 @ SV266 )
!= ( ti @ SV67 @ SV318 ) ) ) )
= $false )
| ( ( linorder @ SV67 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1129]) ).
thf(1204,plain,
! [SV267: $i,SV354: $i,SV319: $i,SV68: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV68 @ bool @ ( hAPP @ SV68 @ ( fun @ SV68 @ bool ) @ ( ord_less @ SV68 ) @ SV319 ) @ SV354 ) ) )
= $true )
| ( ( ( SV319 != SV267 )
| ( hBOOL @ ( hAPP @ SV68 @ bool @ ( hAPP @ SV68 @ ( fun @ SV68 @ bool ) @ ( ord_less @ SV68 ) @ SV267 ) @ SV354 ) ) )
= $true )
| ( ( order @ SV68 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1130]) ).
thf(1205,plain,
! [SV219: $i,SV268: $i,SV355: $i,SV320: $i,SV165: $i,SV69: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV69 @ bool ) @ bool @ ( hAPP @ ( fun @ SV69 @ SV165 ) @ ( fun @ ( fun @ SV69 @ bool ) @ bool ) @ ( inj_on @ SV69 @ SV165 ) @ SV320 ) @ SV355 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV69 @ bool ) @ bool @ ( hAPP @ SV69 @ ( fun @ ( fun @ SV69 @ bool ) @ bool ) @ ( member @ SV69 ) @ SV268 ) @ SV355 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV69 @ bool ) @ bool @ ( hAPP @ SV69 @ ( fun @ ( fun @ SV69 @ bool ) @ bool ) @ ( member @ SV69 ) @ SV219 ) @ SV355 ) )
| ~ ( ~ ( ( ( hAPP @ SV69 @ SV165 @ SV320 @ SV268 )
!= ( hAPP @ SV69 @ SV165 @ SV320 @ SV219 ) )
| ( ( ti @ SV69 @ SV268 )
= ( ti @ SV69 @ SV219 ) ) )
| ~ ( ( ( ti @ SV69 @ SV268 )
!= ( ti @ SV69 @ SV219 ) )
| ( ( hAPP @ SV69 @ SV165 @ SV320 @ SV268 )
= ( hAPP @ SV69 @ SV165 @ SV320 @ SV219 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1131]) ).
thf(1206,plain,
! [SV166: $i,SV70: $i] :
( ( ( hBOOL @ ( hAPP @ arrow_1384031255e_indi @ bool @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ bool ) @ arrow_1990387629ctator @ SV70 ) @ SV166 ) )
= $false )
| ( ( ! [SY782: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SY782 ) @ arrow_1834574746e_Prof ) )
| ( ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV70 @ SY782 )
= ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY782 @ SV166 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1132]) ).
thf(1207,plain,
! [SV166: $i,SV70: $i] :
( ( ( ! [SY783: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SY783 ) @ arrow_1834574746e_Prof ) )
| ( ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV70 @ SY783 )
= ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY783 @ SV166 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ arrow_1384031255e_indi @ bool @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ bool ) @ arrow_1990387629ctator @ SV70 ) @ SV166 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1133]) ).
thf(1208,plain,
! [SV321: $i,SV269: $i,SV71: $i] :
( ( ( ( ti @ SV71 @ SV269 )
!= ( ti @ SV71 @ SV321 ) )
= $false )
| ( ( ~ ~ ( hBOOL @ ( hAPP @ SV71 @ bool @ ( hAPP @ SV71 @ ( fun @ SV71 @ bool ) @ ( ord_less @ SV71 ) @ SV269 ) @ SV321 ) )
| ( hBOOL @ ( hAPP @ SV71 @ bool @ ( hAPP @ SV71 @ ( fun @ SV71 @ bool ) @ ( ord_less @ SV71 ) @ SV321 ) @ SV269 ) ) )
= $true )
| ( ( linorder @ SV71 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1134]) ).
thf(1209,plain,
! [SV322: $i,SV270: $i,SV72: $i] :
( ( ( hBOOL @ ( hAPP @ SV72 @ bool @ ( hAPP @ SV72 @ ( fun @ SV72 @ bool ) @ ( ord_less @ SV72 ) @ SV270 ) @ SV322 ) )
= $false )
| ( ( SV322 != SV270 )
= $true )
| ( ( order @ SV72 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1135]) ).
thf(1210,plain,
! [SV323: $i,SV272: $i,SV74: $i] :
( ( ( hBOOL @ ( hAPP @ SV74 @ bool @ ( hAPP @ SV74 @ ( fun @ SV74 @ bool ) @ ( ord_less @ SV74 ) @ SV272 ) @ SV323 ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ SV74 @ bool @ ( hAPP @ SV74 @ ( fun @ SV74 @ bool ) @ ( ord_less @ SV74 ) @ SV323 ) @ SV272 ) ) )
= $true )
| ( ( preorder @ SV74 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1136]) ).
thf(1211,plain,
! [SV75: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1137]) ).
thf(1212,plain,
! [SV75: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1138]) ).
thf(1213,plain,
! [SV221: $i,SV273: $i,SV356: $i,SV324: $i,SV168: $i,SV77: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV77 @ bool ) @ bool @ ( hAPP @ ( fun @ SV77 @ SV168 ) @ ( fun @ ( fun @ SV77 @ bool ) @ bool ) @ ( inj_on @ SV77 @ SV168 ) @ SV324 ) @ SV356 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV77 @ bool ) @ bool @ ( hAPP @ SV77 @ ( fun @ ( fun @ SV77 @ bool ) @ bool ) @ ( member @ SV77 ) @ SV273 ) @ SV356 ) )
| ( ( hAPP @ SV77 @ SV168 @ SV324 @ SV273 )
!= ( ti @ SV168 @ SV221 ) )
| ( ( hAPP @ SV168 @ SV77 @ ( hAPP @ ( fun @ SV77 @ SV168 ) @ ( fun @ SV168 @ SV77 ) @ ( hAPP @ ( fun @ SV77 @ bool ) @ ( fun @ ( fun @ SV77 @ SV168 ) @ ( fun @ SV168 @ SV77 ) ) @ ( hilbert_inv_into @ SV77 @ SV168 ) @ SV356 ) @ SV324 ) @ SV221 )
= ( ti @ SV77 @ SV273 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1139]) ).
thf(1214,plain,
! [SV222: $i,SV169: $i,SV78: $i] :
( ( ( ( ( hAPP @ SV78 @ SV169 @ SV222 @ ( sK1_SY902 @ SV222 @ SV169 @ SV78 ) )
!= ( hAPP @ SV78 @ SV169 @ SV222 @ ( sK5_SY1048 @ SV222 @ SV169 @ SV78 ) ) )
| ( ( ti @ SV78 @ ( sK1_SY902 @ SV222 @ SV169 @ SV78 ) )
= ( ti @ SV78 @ ( sK5_SY1048 @ SV222 @ SV169 @ SV78 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV78 @ bool ) @ bool @ ( hAPP @ ( fun @ SV78 @ SV169 ) @ ( fun @ ( fun @ SV78 @ bool ) @ bool ) @ ( inj_on @ SV78 @ SV169 ) @ SV222 ) @ ( top_top @ ( fun @ SV78 @ bool ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1140]) ).
thf(1215,plain,
! [SV223: $i,SV274: $i,SV170: $i,SV79: $i] :
( ( ( ~ ! [SY986: $i] :
( ( hAPP @ SV79 @ SV170 @ SV274 @ ( hAPP @ SV170 @ SV79 @ SV223 @ SY986 ) )
= ( ti @ SV170 @ SY986 ) ) )
= $true )
| ( ( ( hAPP @ ( fun @ SV79 @ SV170 ) @ ( fun @ SV170 @ SV79 ) @ ( hAPP @ ( fun @ SV79 @ bool ) @ ( fun @ ( fun @ SV79 @ SV170 ) @ ( fun @ SV170 @ SV79 ) ) @ ( hilbert_inv_into @ SV79 @ SV170 ) @ ( top_top @ ( fun @ SV79 @ bool ) ) ) @ SV274 )
= ( ti @ ( fun @ SV170 @ SV79 ) @ SV223 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV79 @ bool ) @ bool @ ( hAPP @ ( fun @ SV79 @ SV170 ) @ ( fun @ ( fun @ SV79 @ bool ) @ bool ) @ ( inj_on @ SV79 @ SV170 ) @ SV274 ) @ ( top_top @ ( fun @ SV79 @ bool ) ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1141]) ).
thf(1216,plain,
! [SV224: $i,SV171: $i,SV80: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV80 ) @ arrow_638930832le_Lin ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV80 ) @ SV171 ) @ SV224 ) ) @ arrow_638930832le_Lin ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV171 )
= ( ti @ arrow_1212486748le_alt @ SV224 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1142]) ).
thf(1217,plain,
! [SV275: $i,SV225: $i,SV357: $i,SV325: $i,SV172: $i,SV81: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV81 @ bool ) @ bool @ ( hAPP @ ( fun @ SV81 @ SV172 ) @ ( fun @ ( fun @ SV81 @ bool ) @ bool ) @ ( inj_on @ SV81 @ SV172 ) @ SV325 ) @ SV357 ) ) )
= $true )
| ( ( ~ ( ( ( ti @ SV81 @ SV225 )
!= ( ti @ SV81 @ SV275 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV81 @ bool ) @ bool @ ( hAPP @ SV81 @ ( fun @ ( fun @ SV81 @ bool ) @ bool ) @ ( member @ SV81 ) @ SV225 ) @ SV357 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV81 @ bool ) @ bool @ ( hAPP @ SV81 @ ( fun @ ( fun @ SV81 @ bool ) @ bool ) @ ( member @ SV81 ) @ SV275 ) @ SV357 ) )
| ( ( hAPP @ SV81 @ SV172 @ SV325 @ SV225 )
!= ( hAPP @ SV81 @ SV172 @ SV325 @ SV275 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1143]) ).
thf(1218,plain,
! [SV276: $i,SV226: $i,SV173: $i,SV82: $i] :
( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ SV226 ) @ SV276 ) ) )
| ~ ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV173 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV173 ) ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ SV226 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1144]) ).
thf(1219,plain,
! [SV226: $i,SV82: $i,SV276: $i,SV173: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV173 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV173 ) ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ SV226 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ SV226 ) @ SV276 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1145]) ).
thf(1220,plain,
! [SV227: $i,SV174: $i,SV83: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV83 ) @ SV174 ) ) @ SV227 ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV174 ) @ SV83 ) ) @ SV227 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV227 ) @ arrow_638930832le_Lin ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1146]) ).
thf(1221,plain,
! [SV84: $i,SV175: $i,SV277: $i,SV228: $i,SV358: $i,SV326: $i] :
( ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
!= ( ti @ arrow_1212486748le_alt @ SV358 ) ) ) )
= $true )
| ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV228 )
!= ( ti @ arrow_1212486748le_alt @ SV277 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
!= ( ti @ arrow_1212486748le_alt @ SV277 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV358 )
!= ( ti @ arrow_1212486748le_alt @ SV228 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV175 ) @ arrow_1834574746e_Prof ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV84 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY1049: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ SY1049 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ SY1049 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ SY1049 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ SY1049 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1147]) ).
thf(1222,plain,
! [SV278: $i,SV359: $i,SV327: $i,SV85: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV85 @ bool @ ( hAPP @ SV85 @ ( fun @ SV85 @ bool ) @ ( ord_less @ SV85 ) @ SV327 ) @ SV359 ) ) )
= $true )
| ( ( ( SV359 != SV278 )
| ( hBOOL @ ( hAPP @ SV85 @ bool @ ( hAPP @ SV85 @ ( fun @ SV85 @ bool ) @ ( ord_less @ SV85 ) @ SV327 ) @ SV278 ) ) )
= $true )
| ( ( ord @ SV85 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1148]) ).
thf(1223,plain,
! [SV279: $i,SV87: $i,SV360: $i,SV328: $i] :
( ( ( SV328 != SV360 )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV87 @ bool @ ( hAPP @ SV87 @ ( fun @ SV87 @ bool ) @ ( ord_less @ SV87 ) @ SV279 ) @ SV360 ) )
| ( hBOOL @ ( hAPP @ SV87 @ bool @ ( hAPP @ SV87 @ ( fun @ SV87 @ bool ) @ ( ord_less @ SV87 ) @ SV279 ) @ SV328 ) ) )
= $true )
| ( ( order @ SV87 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1149]) ).
thf(1224,plain,
! [SV329: $i,SV280: $i,SV88: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV88 @ bool @ ( hAPP @ SV88 @ ( fun @ SV88 @ bool ) @ ( ord_less @ SV88 ) @ SV280 ) @ SV329 ) ) )
= $false )
| ( ( ~ ( ( ( ti @ SV88 @ SV280 )
!= ( ti @ SV88 @ SV329 ) ) )
| ( hBOOL @ ( hAPP @ SV88 @ bool @ ( hAPP @ SV88 @ ( fun @ SV88 @ bool ) @ ( ord_less @ SV88 ) @ SV329 ) @ SV280 ) ) )
= $true )
| ( ( linorder @ SV88 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1150]) ).
thf(1225,plain,
! [SV89: $i,SV366: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV366 ) @ arrow_1834574746e_Prof ) )
| ! [SY1059: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SY1059 ) @ arrow_1834574746e_Prof ) )
| ! [SY1060: $i,SY1061: $i] :
( ~ ! [SY1062: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1060 ) @ SY1061 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV366 @ SY1062 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1060 ) @ SY1061 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY1059 @ SY1062 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1060 ) @ SY1061 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY1059 @ SY1062 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1060 ) @ SY1061 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV366 @ SY1062 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1060 ) @ SY1061 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1060 ) @ SY1061 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SY1059 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1060 ) @ SY1061 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SY1059 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1060 ) @ SY1061 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1151]) ).
thf(1226,plain,
! [SV89: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( sK6_SY617 @ SV89 ) ) @ arrow_1834574746e_Prof ) )
| ! [SY1063: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SY1063 ) @ arrow_1834574746e_Prof ) )
| ! [SY1064: $i,SY1065: $i] :
( ~ ! [SY1066: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1064 ) @ SY1065 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( sK6_SY617 @ SV89 ) @ SY1066 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1064 ) @ SY1065 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY1063 @ SY1066 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1064 ) @ SY1065 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY1063 @ SY1066 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1064 ) @ SY1065 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( sK6_SY617 @ SV89 ) @ SY1066 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1064 ) @ SY1065 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ ( sK6_SY617 @ SV89 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1064 ) @ SY1065 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SY1063 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1064 ) @ SY1065 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SY1063 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1064 ) @ SY1065 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ ( sK6_SY617 @ SV89 ) ) ) ) ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1152]) ).
thf(1227,plain,
! [SV229: $i,SV177: $i,SV90: $i] :
( ( ( ~ ! [SY914: $i] : ( hBOOL @ ( hAPP @ ( product_prod @ SV90 @ SV177 ) @ bool @ SV229 @ SY914 ) ) )
= $true )
| ( ( ! [SY915: $i,SY916: $i] : ( hBOOL @ ( hAPP @ ( product_prod @ SV90 @ SV177 ) @ bool @ SV229 @ ( hAPP @ SV177 @ ( product_prod @ SV90 @ SV177 ) @ ( hAPP @ SV90 @ ( fun @ SV177 @ ( product_prod @ SV90 @ SV177 ) ) @ ( product_Pair @ SV90 @ SV177 ) @ SY915 ) @ SY916 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1153]) ).
thf(1228,plain,
! [SV229: $i,SV177: $i,SV90: $i] :
( ( ( ~ ! [SY917: $i,SY918: $i] : ( hBOOL @ ( hAPP @ ( product_prod @ SV90 @ SV177 ) @ bool @ SV229 @ ( hAPP @ SV177 @ ( product_prod @ SV90 @ SV177 ) @ ( hAPP @ SV90 @ ( fun @ SV177 @ ( product_prod @ SV90 @ SV177 ) ) @ ( product_Pair @ SV90 @ SV177 ) @ SY917 ) @ SY918 ) ) ) )
= $true )
| ( ( ! [SY919: $i] : ( hBOOL @ ( hAPP @ ( product_prod @ SV90 @ SV177 ) @ bool @ SV229 @ SY919 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1154]) ).
thf(1229,plain,
! [SV281: $i,SV230: $i,SV179: $i,SV93: $i] :
( ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ ( fun @ SV93 @ SV179 ) @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( inj_on @ SV93 @ SV179 ) @ SV230 ) @ SV281 ) )
| ! [SY997: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ SV93 @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( member @ SV93 ) @ SY997 ) @ SV281 ) )
| ! [SY998: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ SV93 @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( member @ SV93 ) @ SY998 ) @ SV281 ) )
| ( ( hAPP @ SV93 @ SV179 @ SV230 @ SY997 )
!= ( hAPP @ SV93 @ SV179 @ SV230 @ SY998 ) )
| ( ( ti @ SV93 @ SY997 )
= ( ti @ SV93 @ SY998 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1155]) ).
thf(1230,plain,
! [SV230: $i,SV179: $i,SV281: $i,SV93: $i] :
( ( ~ ! [SY999: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ SV93 @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( member @ SV93 ) @ SY999 ) @ SV281 ) )
| ! [SY1000: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ SV93 @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( member @ SV93 ) @ SY1000 ) @ SV281 ) )
| ( ( hAPP @ SV93 @ SV179 @ SV230 @ SY999 )
!= ( hAPP @ SV93 @ SV179 @ SV230 @ SY1000 ) )
| ( ( ti @ SV93 @ SY999 )
= ( ti @ SV93 @ SY1000 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ ( fun @ SV93 @ SV179 ) @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( inj_on @ SV93 @ SV179 ) @ SV230 ) @ SV281 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1156]) ).
thf(1231,plain,
! [SV282: $i,SV361: $i,SV330: $i,SV94: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV94 @ bool @ ( hAPP @ SV94 @ ( fun @ SV94 @ bool ) @ ( ord_less @ SV94 ) @ SV330 ) @ SV361 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV94 @ bool @ ( hAPP @ SV94 @ ( fun @ SV94 @ bool ) @ ( ord_less @ SV94 ) @ SV282 ) @ SV330 ) )
| ( hBOOL @ ( hAPP @ SV94 @ bool @ ( hAPP @ SV94 @ ( fun @ SV94 @ bool ) @ ( ord_less @ SV94 ) @ SV282 ) @ SV361 ) ) )
= $true )
| ( ( order @ SV94 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1157]) ).
thf(1232,plain,
! [SV232: $i,SV181: $i,SV97: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV97 )
!= ( ti @ arrow_1212486748le_alt @ SV181 ) )
= $false )
| ( ( ~ ( ~ ( ~ ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV97 ) @ SV181 ) ) @ SV232 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV181 ) @ SV97 ) ) @ SV232 ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV181 ) @ SV97 ) ) @ SV232 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV97 ) @ SV181 ) ) @ SV232 ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV232 ) @ arrow_638930832le_Lin ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1159]) ).
thf(1233,plain,
! [SV331: $i,SV284: $i,SV98: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV98 @ bool @ ( hAPP @ SV98 @ ( fun @ SV98 @ bool ) @ ( ord_less @ SV98 ) @ SV284 ) @ SV331 ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ~ ( hBOOL @ ( hAPP @ SV98 @ bool @ ( hAPP @ SV98 @ ( fun @ SV98 @ bool ) @ ( ord_less @ SV98 ) @ SV331 ) @ SV284 ) )
| ( ( ti @ SV98 @ SV331 )
= ( ti @ SV98 @ SV284 ) ) )
| ~ ( ( ( ti @ SV98 @ SV331 )
!= ( ti @ SV98 @ SV284 ) )
| ~ ( hBOOL @ ( hAPP @ SV98 @ bool @ ( hAPP @ SV98 @ ( fun @ SV98 @ bool ) @ ( ord_less @ SV98 ) @ SV331 ) @ SV284 ) ) ) ) )
= $true )
| ( ( linorder @ SV98 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1160]) ).
thf(1234,plain,
! [SV233: $i,SV182: $i,SV99: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV99 @ bool ) @ bool @ ( hAPP @ SV99 @ ( fun @ ( fun @ SV99 @ bool ) @ bool ) @ ( member @ SV99 ) @ SV182 ) @ SV233 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV99 @ bool @ SV233 @ SV182 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1161]) ).
thf(1235,plain,
! [SV182: $i,SV233: $i,SV99: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV99 @ bool @ SV233 @ SV182 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV99 @ bool ) @ bool @ ( hAPP @ SV99 @ ( fun @ ( fun @ SV99 @ bool ) @ bool ) @ ( member @ SV99 ) @ SV182 ) @ SV233 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1162]) ).
thf(1236,plain,
! [SV100: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1163]) ).
thf(1237,plain,
! [SV100: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1164]) ).
thf(1238,plain,
! [SV285: $i,SV234: $i,SV183: $i,SV101: $i] :
( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ SV234 ) @ SV285 ) ) )
| ~ ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV101 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV101 )
!= ( ti @ arrow_1212486748le_alt @ SV183 ) ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ SV234 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1165]) ).
thf(1239,plain,
! [SV234: $i,SV183: $i,SV285: $i,SV101: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV101 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV101 )
!= ( ti @ arrow_1212486748le_alt @ SV183 ) ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ SV234 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ SV234 ) @ SV285 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1166]) ).
thf(1240,plain,
! [SV332: $i,SV286: $i,SV102: $i] :
( ( ( hBOOL @ ( hAPP @ SV102 @ bool @ ( hAPP @ SV102 @ ( fun @ SV102 @ bool ) @ ( ord_less @ SV102 ) @ SV286 ) @ SV332 ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ SV102 @ bool @ ( hAPP @ SV102 @ ( fun @ SV102 @ bool ) @ ( ord_less @ SV102 ) @ SV332 ) @ SV286 ) ) )
= $true )
| ( ( preorder @ SV102 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1167]) ).
thf(1241,plain,
! [SV333: $i,SV287: $i,SV103: $i] :
( ( ( ~ ( ~ ~ ( hBOOL @ ( hAPP @ SV103 @ bool @ ( hAPP @ SV103 @ ( fun @ SV103 @ bool ) @ ( ord_less @ SV103 ) @ SV287 ) @ SV333 ) )
| ( hBOOL @ ( hAPP @ SV103 @ bool @ ( hAPP @ SV103 @ ( fun @ SV103 @ bool ) @ ( ord_less @ SV103 ) @ SV333 ) @ SV287 ) )
| ( ( ti @ SV103 @ SV287 )
= ( ti @ SV103 @ SV333 ) ) ) )
= $false )
| ( ( linorder @ SV103 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1168]) ).
thf(1242,plain,
! [SV287: $i,SV333: $i,SV103: $i] :
( ( ( ~ ( ~ ( ( hBOOL @ ( hAPP @ SV103 @ bool @ ( hAPP @ SV103 @ ( fun @ SV103 @ bool ) @ ( ord_less @ SV103 ) @ SV333 ) @ SV287 ) )
| ( ( ti @ SV103 @ SV287 )
= ( ti @ SV103 @ SV333 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV103 @ bool @ ( hAPP @ SV103 @ ( fun @ SV103 @ bool ) @ ( ord_less @ SV103 ) @ SV287 ) @ SV333 ) ) ) )
= $false )
| ( ( linorder @ SV103 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1168]) ).
thf(1243,plain,
! [SV104: $i,SV184: $i,SV288: $i,SV235: $i,SV362: $i,SV334: $i] :
( ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
!= ( ti @ arrow_1212486748le_alt @ SV362 ) ) ) )
= $true )
| ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV235 )
!= ( ti @ arrow_1212486748le_alt @ SV288 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
!= ( ti @ arrow_1212486748le_alt @ SV288 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV362 )
!= ( ti @ arrow_1212486748le_alt @ SV235 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV184 ) @ arrow_1834574746e_Prof ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV104 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY1050: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV184 @ SY1050 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV104 @ SY1050 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV104 @ SY1050 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV184 @ SY1050 ) ) ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV184 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV104 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1169]) ).
thf(1244,plain,
! [SV335: $i,SV289: $i,SV105: $i] :
( ( ( hBOOL @ ( hAPP @ SV105 @ bool @ ( hAPP @ SV105 @ ( fun @ SV105 @ bool ) @ ( ord_less @ SV105 ) @ SV289 ) @ SV335 ) )
= $false )
| ( ( SV289 != SV335 )
= $true )
| ( ( order @ SV105 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1170]) ).
thf(1245,plain,
! [SV106: $i,SV185: $i,SV236: $i,SV336: $i,SV290: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
!= ( ti @ arrow_1212486748le_alt @ SV336 ) )
= $false )
| ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV336 )
!= ( ti @ arrow_1212486748le_alt @ SV236 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
!= ( ti @ arrow_1212486748le_alt @ SV236 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV185 ) @ arrow_1834574746e_Prof ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV106 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY1044: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ SY1044 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ SY1044 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ SY1044 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ SY1044 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1171]) ).
thf(1246,plain,
! [SV337: $i,SV291: $i,SV107: $i] :
( ( ( hBOOL @ ( hAPP @ SV107 @ bool @ ( hAPP @ SV107 @ ( fun @ SV107 @ bool ) @ ( ord_less @ SV107 ) @ SV291 ) @ SV337 ) )
= $true )
| ( ( ( ti @ SV107 @ SV291 )
= ( ti @ SV107 @ SV337 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV107 @ bool @ ( hAPP @ SV107 @ ( fun @ SV107 @ bool ) @ ( ord_less @ SV107 ) @ SV337 ) @ SV291 ) )
= $true )
| ( ( linorder @ SV107 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1172]) ).
thf(1247,plain,
! [SV292: $i,SV237: $i,SV363: $i,SV338: $i,SV187: $i,SV109: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV109 @ bool ) @ bool @ ( hAPP @ ( fun @ SV109 @ SV187 ) @ ( fun @ ( fun @ SV109 @ bool ) @ bool ) @ ( inj_on @ SV109 @ SV187 ) @ SV338 ) @ SV363 ) ) )
= $true )
| ( ( ( ( hAPP @ SV109 @ SV187 @ SV338 @ SV237 )
!= ( hAPP @ SV109 @ SV187 @ SV338 @ SV292 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV109 @ bool ) @ bool @ ( hAPP @ SV109 @ ( fun @ ( fun @ SV109 @ bool ) @ bool ) @ ( member @ SV109 ) @ SV237 ) @ SV363 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV109 @ bool ) @ bool @ ( hAPP @ SV109 @ ( fun @ ( fun @ SV109 @ bool ) @ bool ) @ ( member @ SV109 ) @ SV292 ) @ SV363 ) )
| ( ( ti @ SV109 @ SV237 )
= ( ti @ SV109 @ SV292 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1173]) ).
thf(1248,plain,
! [SV339: $i,SV293: $i,SV110: $i] :
( ( ( hBOOL @ ( hAPP @ SV110 @ bool @ ( hAPP @ SV110 @ ( fun @ SV110 @ bool ) @ ( ord_less @ SV110 ) @ SV293 ) @ SV339 ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ SV110 @ bool @ ( hAPP @ SV110 @ ( fun @ SV110 @ bool ) @ ( ord_less @ SV110 ) @ SV339 ) @ SV293 ) ) )
= $true )
| ( ( preorder @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1174]) ).
thf(1249,plain,
! [SV294: $i,SV364: $i,SV340: $i,SV111: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV111 @ bool @ ( hAPP @ SV111 @ ( fun @ SV111 @ bool ) @ ( ord_less @ SV111 ) @ SV340 ) @ SV364 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV111 @ bool @ ( hAPP @ SV111 @ ( fun @ SV111 @ bool ) @ ( ord_less @ SV111 ) @ SV364 ) @ SV340 ) )
| ( hBOOL @ SV294 ) )
= $true )
| ( ( preorder @ SV111 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1175]) ).
thf(1250,plain,
! [SV295: $i,SV113: $i] :
( ( ( ~ ( ( ( ti @ SV113 @ SV295 )
!= ( top_top @ SV113 ) ) )
| ( hBOOL @ ( hAPP @ SV113 @ bool @ ( hAPP @ SV113 @ ( fun @ SV113 @ bool ) @ ( ord_less @ SV113 ) @ SV295 ) @ ( top_top @ SV113 ) ) ) )
= $true )
| ( ( top @ SV113 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1176]) ).
thf(1251,plain,
! [SV295: $i,SV113: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV113 @ bool @ ( hAPP @ SV113 @ ( fun @ SV113 @ bool ) @ ( ord_less @ SV113 ) @ SV295 ) @ ( top_top @ SV113 ) ) )
| ( ( ti @ SV113 @ SV295 )
!= ( top_top @ SV113 ) ) )
= $true )
| ( ( top @ SV113 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1177]) ).
thf(1252,plain,
! [SV296: $i,SV238: $i,SV188: $i,SV114: $i] :
( ( ( ( hAPP @ SV114 @ SV188 @ SV238 @ ( sK7_SY1018 @ SV296 @ SV238 @ SV188 @ SV114 ) )
= ( hAPP @ SV114 @ SV188 @ SV296 @ ( sK7_SY1018 @ SV296 @ SV238 @ SV188 @ SV114 ) ) )
= $false )
| ( ( ( ti @ ( fun @ SV114 @ SV188 ) @ SV238 )
= ( ti @ ( fun @ SV114 @ SV188 ) @ SV296 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1178]) ).
thf(1253,plain,
! [SV341: $i,SV297: $i,SV115: $i] :
( ( ( hBOOL @ ( hAPP @ SV115 @ bool @ ( hAPP @ SV115 @ ( fun @ SV115 @ bool ) @ ( ord_less @ SV115 ) @ SV297 ) @ SV341 ) )
= $false )
| ( ( SV297 != SV341 )
= $true )
| ( ( order @ SV115 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1179]) ).
thf(1254,plain,
! [SV247: $i,SV205: $i,SV302: $i,SV145: $i,SV40: $i] :
( ( ( ( hAPP @ SV40 @ SV145 @ SV302 @ SV205 )
!= ( hAPP @ SV40 @ SV145 @ SV302 @ SV247 ) )
= $true )
| ( ( ( ti @ SV40 @ SV205 )
= ( ti @ SV40 @ SV247 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV40 @ bool ) @ bool @ ( hAPP @ ( fun @ SV40 @ SV145 ) @ ( fun @ ( fun @ SV40 @ bool ) @ bool ) @ ( inj_on @ SV40 @ SV145 ) @ SV302 ) @ ( top_top @ ( fun @ SV40 @ bool ) ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1180]) ).
thf(1255,plain,
! [SV41: $i,SV146: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( sK2_SY725 @ SV146 @ SV41 ) ) @ arrow_638930832le_Lin ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV41 ) @ SV146 ) ) @ ( sK2_SY725 @ SV146 @ SV41 ) ) ) ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV41 )
= ( ti @ arrow_1212486748le_alt @ SV146 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1181]) ).
thf(1256,plain,
! [SV43: $i,SV365: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV365 ) @ arrow_1834574746e_Prof ) ) )
= $true )
| ( ( ! [SY1051: $i,SY1052: $i] :
( ~ ! [SY1053: $i] : ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1051 ) @ SY1052 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV365 @ SY1053 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1051 ) @ SY1052 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV43 @ SV365 ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_1932713123nimity @ SV43 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1182]) ).
thf(1257,plain,
! [SV43: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( sK3_SY466 @ SV43 ) ) @ arrow_1834574746e_Prof ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_1932713123nimity @ SV43 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1183]) ).
thf(1258,plain,
! [SV43: $i] :
( ( ( ! [SY1054: $i,SY1055: $i] :
( ~ ! [SY1056: $i] : ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1054 ) @ SY1055 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( sK3_SY466 @ SV43 ) @ SY1056 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1054 ) @ SY1055 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV43 @ ( sK3_SY466 @ SV43 ) ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_1932713123nimity @ SV43 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1183]) ).
thf(1259,plain,
! [SV207: $i,SV346: $i,SV303: $i,SV249: $i,SV150: $i,SV46: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ SV46 @ SV150 ) @ bool ) @ bool @ ( hAPP @ ( fun @ SV46 @ SV150 ) @ ( fun @ ( fun @ ( fun @ SV46 @ SV150 ) @ bool ) @ bool ) @ ( member @ ( fun @ SV46 @ SV150 ) ) @ SV249 ) @ ( hAPP @ ( fun @ SV46 @ ( fun @ SV150 @ bool ) ) @ ( fun @ ( fun @ SV46 @ SV150 ) @ bool ) @ ( hAPP @ ( fun @ SV46 @ bool ) @ ( fun @ ( fun @ SV46 @ ( fun @ SV150 @ bool ) ) @ ( fun @ ( fun @ SV46 @ SV150 ) @ bool ) ) @ ( pi @ SV46 @ SV150 ) @ SV303 ) @ SV346 ) ) )
= $false )
| ( ( ~ ~ ( hBOOL @ ( hAPP @ ( fun @ SV150 @ bool ) @ bool @ ( hAPP @ SV150 @ ( fun @ ( fun @ SV150 @ bool ) @ bool ) @ ( member @ SV150 ) @ ( hAPP @ SV46 @ SV150 @ SV249 @ SV207 ) ) @ ( hAPP @ SV46 @ ( fun @ SV150 @ bool ) @ SV346 @ SV207 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV46 @ bool ) @ bool @ ( hAPP @ SV46 @ ( fun @ ( fun @ SV46 @ bool ) @ bool ) @ ( member @ SV46 ) @ SV207 ) @ SV303 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1184]) ).
thf(1260,plain,
! [SV208: $i,SV347: $i,SV304: $i,SV250: $i,SV151: $i,SV47: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ SV47 @ SV151 ) @ bool ) @ bool @ ( hAPP @ ( fun @ SV47 @ SV151 ) @ ( fun @ ( fun @ ( fun @ SV47 @ SV151 ) @ bool ) @ bool ) @ ( member @ ( fun @ SV47 @ SV151 ) ) @ SV250 ) @ ( hAPP @ ( fun @ SV47 @ ( fun @ SV151 @ bool ) ) @ ( fun @ ( fun @ SV47 @ SV151 ) @ bool ) @ ( hAPP @ ( fun @ SV47 @ bool ) @ ( fun @ ( fun @ SV47 @ ( fun @ SV151 @ bool ) ) @ ( fun @ ( fun @ SV47 @ SV151 ) @ bool ) ) @ ( pi @ SV47 @ SV151 ) @ SV304 ) @ SV347 ) ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV47 @ bool ) @ bool @ ( hAPP @ SV47 @ ( fun @ ( fun @ SV47 @ bool ) @ bool ) @ ( member @ SV47 ) @ SV208 ) @ SV304 ) )
| ( hBOOL @ ( hAPP @ ( fun @ SV151 @ bool ) @ bool @ ( hAPP @ SV151 @ ( fun @ ( fun @ SV151 @ bool ) @ bool ) @ ( member @ SV151 ) @ ( hAPP @ SV47 @ SV151 @ SV250 @ SV208 ) ) @ ( hAPP @ SV47 @ ( fun @ SV151 @ bool ) @ SV347 @ SV208 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1185]) ).
thf(1261,plain,
! [SV348: $i,SV305: $i,SV251: $i,SV209: $i,SV152: $i,SV48: $i] :
( ( ~ ( ( ( hAPP @ SV48 @ ( product_prod @ SV152 @ SV48 ) @ ( hAPP @ SV152 @ ( fun @ SV48 @ ( product_prod @ SV152 @ SV48 ) ) @ ( product_Pair @ SV152 @ SV48 ) @ SV209 ) @ SV251 )
!= ( hAPP @ SV48 @ ( product_prod @ SV152 @ SV48 ) @ ( hAPP @ SV152 @ ( fun @ SV48 @ ( product_prod @ SV152 @ SV48 ) ) @ ( product_Pair @ SV152 @ SV48 ) @ SV305 ) @ SV348 ) )
| ~ ( ( ( ti @ SV152 @ SV209 )
!= ( ti @ SV152 @ SV305 ) )
| ( ( ti @ SV48 @ SV251 )
!= ( ti @ SV48 @ SV348 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1186]) ).
thf(1262,plain,
! [SV348: $i,SV251: $i,SV48: $i,SV305: $i,SV209: $i,SV152: $i] :
( ( ~ ( ~ ~ ( ( ( ti @ SV152 @ SV209 )
!= ( ti @ SV152 @ SV305 ) )
| ( ( ti @ SV48 @ SV251 )
!= ( ti @ SV48 @ SV348 ) ) )
| ( ( hAPP @ SV48 @ ( product_prod @ SV152 @ SV48 ) @ ( hAPP @ SV152 @ ( fun @ SV48 @ ( product_prod @ SV152 @ SV48 ) ) @ ( product_Pair @ SV152 @ SV48 ) @ SV209 ) @ SV251 )
= ( hAPP @ SV48 @ ( product_prod @ SV152 @ SV48 ) @ ( hAPP @ SV152 @ ( fun @ SV48 @ ( product_prod @ SV152 @ SV48 ) ) @ ( product_Pair @ SV152 @ SV48 ) @ SV305 ) @ SV348 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1186]) ).
thf(1263,plain,
! [SV49: $i,SV153: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( sK4_SY740 @ SV153 @ SV49 ) ) @ arrow_1834574746e_Prof ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ arrow_1384031255e_indi @ bool @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ bool ) @ arrow_1990387629ctator @ SV153 ) @ SV49 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV153 ) @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) ) @ ( pi @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1834574746e_Prof ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( combk @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_638930832le_Lin ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1187]) ).
thf(1264,plain,
! [SV49: $i,SV153: $i] :
( ( ( ! [SY1057: $i,SY1058: $i] :
( ~ ( ( ( ti @ arrow_1212486748le_alt @ SY1057 )
!= ( ti @ arrow_1212486748le_alt @ SY1058 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1057 ) @ SY1058 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( sK4_SY740 @ SV153 @ SV49 ) @ SV49 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1057 ) @ SY1058 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV153 @ ( sK4_SY740 @ SV153 @ SV49 ) ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ arrow_1384031255e_indi @ bool @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ bool ) @ arrow_1990387629ctator @ SV153 ) @ SV49 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV153 ) @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) ) @ ( pi @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1834574746e_Prof ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( combk @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_638930832le_Lin ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1187]) ).
thf(1265,plain,
! [SV210: $i,SV252: $i,SV154: $i,SV50: $i] :
( ( ( ~ ! [SY954: $i,SY955: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SY954 ) @ SY955 ) ) @ SV252 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SY954 ) @ SY955 ) ) @ SV210 ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SY954 ) @ SY955 ) ) @ SV210 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SY954 ) @ SY955 ) ) @ SV252 ) ) ) ) )
= $true )
| ( ( ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV252 )
= ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV210 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1188]) ).
thf(1266,plain,
! [SV210: $i,SV252: $i,SV154: $i,SV50: $i] :
( ( ( ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV252 )
!= ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV210 ) )
= $true )
| ( ( ! [SY956: $i,SY957: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SY956 ) @ SY957 ) ) @ SV252 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SY956 ) @ SY957 ) ) @ SV210 ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SY956 ) @ SY957 ) ) @ SV210 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SY956 ) @ SY957 ) ) @ SV252 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1189]) ).
thf(1267,plain,
! [SV155: $i,SV51: $i,SV211: $i,SV306: $i,SV253: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
| ~ ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV155 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV253 ) @ SV155 ) ) @ SV211 ) ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV253 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV253 ) ) @ SV211 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) ) ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV155 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV253 ) @ SV155 ) ) @ SV211 ) ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV253 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV253 ) ) @ SV211 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) ) ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1190]) ).
thf(1268,plain,
! [SV254: $i,SV212: $i,SV307: $i,SV156: $i,SV52: $i] :
( ( ( ~ ( ( ( hAPP @ SV52 @ SV156 @ SV307 @ SV212 )
!= ( hAPP @ SV52 @ SV156 @ SV307 @ SV254 ) )
| ( ( ti @ SV52 @ SV212 )
= ( ti @ SV52 @ SV254 ) ) )
| ~ ( ( ( ti @ SV52 @ SV212 )
!= ( ti @ SV52 @ SV254 ) )
| ( ( hAPP @ SV52 @ SV156 @ SV307 @ SV212 )
= ( hAPP @ SV52 @ SV156 @ SV307 @ SV254 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV52 @ bool ) @ bool @ ( hAPP @ ( fun @ SV52 @ SV156 ) @ ( fun @ ( fun @ SV52 @ bool ) @ bool ) @ ( inj_on @ SV52 @ SV156 ) @ SV307 ) @ ( top_top @ ( fun @ SV52 @ bool ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1191]) ).
thf(1269,plain,
! [SV213: $i,SV349: $i,SV308: $i,SV255: $i,SV157: $i,SV53: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ SV53 @ SV157 ) @ bool ) @ bool @ ( hAPP @ ( fun @ SV53 @ SV157 ) @ ( fun @ ( fun @ ( fun @ SV53 @ SV157 ) @ bool ) @ bool ) @ ( member @ ( fun @ SV53 @ SV157 ) ) @ SV255 ) @ ( hAPP @ ( fun @ SV53 @ ( fun @ SV157 @ bool ) ) @ ( fun @ ( fun @ SV53 @ SV157 ) @ bool ) @ ( hAPP @ ( fun @ SV53 @ bool ) @ ( fun @ ( fun @ SV53 @ ( fun @ SV157 @ bool ) ) @ ( fun @ ( fun @ SV53 @ SV157 ) @ bool ) ) @ ( pi @ SV53 @ SV157 ) @ SV308 ) @ ( hAPP @ ( fun @ SV157 @ bool ) @ ( fun @ SV53 @ ( fun @ SV157 @ bool ) ) @ ( combk @ ( fun @ SV157 @ bool ) @ SV53 ) @ SV349 ) ) ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV53 @ bool ) @ bool @ ( hAPP @ SV53 @ ( fun @ ( fun @ SV53 @ bool ) @ bool ) @ ( member @ SV53 ) @ SV213 ) @ SV308 ) )
| ( hBOOL @ ( hAPP @ ( fun @ SV157 @ bool ) @ bool @ ( hAPP @ SV157 @ ( fun @ ( fun @ SV157 @ bool ) @ bool ) @ ( member @ SV157 ) @ ( hAPP @ SV53 @ SV157 @ SV255 @ SV213 ) ) @ SV349 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1192]) ).
thf(1270,plain,
! [SV54: $i,SV158: $i,SV256: $i,SV214: $i,SV350: $i,SV309: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV309 )
!= ( ti @ arrow_1212486748le_alt @ SV350 ) )
= $false )
| ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV214 )
!= ( ti @ arrow_1212486748le_alt @ SV256 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV158 ) @ arrow_1834574746e_Prof ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV54 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY1047: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ SY1047 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ SY1047 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ SY1047 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ SY1047 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1193]) ).
thf(1271,plain,
! [SV257: $i,SV159: $i,SV310: $i,SV215: $i,SV56: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV56 @ bool ) @ bool @ ( hAPP @ SV56 @ ( fun @ ( fun @ SV56 @ bool ) @ bool ) @ ( member @ SV56 ) @ SV215 ) @ SV310 ) ) )
= $true )
| ( ( ( hAPP @ SV159 @ SV56 @ ( hAPP @ ( fun @ SV56 @ SV159 ) @ ( fun @ SV159 @ SV56 ) @ ( hAPP @ ( fun @ SV56 @ bool ) @ ( fun @ ( fun @ SV56 @ SV159 ) @ ( fun @ SV159 @ SV56 ) ) @ ( hilbert_inv_into @ SV56 @ SV159 ) @ SV310 ) @ SV257 ) @ ( hAPP @ SV56 @ SV159 @ SV257 @ SV215 ) )
= ( ti @ SV56 @ SV215 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV56 @ bool ) @ bool @ ( hAPP @ ( fun @ SV56 @ SV159 ) @ ( fun @ ( fun @ SV56 @ bool ) @ bool ) @ ( inj_on @ SV56 @ SV159 ) @ SV257 ) @ SV310 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1194]) ).
thf(1272,plain,
! [SV258: $i,SV57: $i,SV351: $i,SV311: $i] :
( ( ( SV311 = SV351 )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ SV57 @ bool @ ( hAPP @ SV57 @ ( fun @ SV57 @ bool ) @ ( ord_less @ SV57 ) @ SV351 ) @ SV258 ) )
| ( hBOOL @ ( hAPP @ SV57 @ bool @ ( hAPP @ SV57 @ ( fun @ SV57 @ bool ) @ ( ord_less @ SV57 ) @ SV311 ) @ SV258 ) ) )
= $true )
| ( ( ord @ SV57 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1195]) ).
thf(1273,plain,
! [SV260: $i,SV216: $i,SV59: $i,SV160: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV160 ) @ arrow_1834574746e_Prof ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV59 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY968: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ SY968 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ SY968 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ SY968 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ SY968 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) ) ) ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV216 )
= ( ti @ arrow_1212486748le_alt @ SV260 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1196]) ).
thf(1274,plain,
! [SV261: $i,SV312: $i,SV60: $i] :
( ( ( hBOOL @ ( hAPP @ SV60 @ bool @ ( hAPP @ SV60 @ ( fun @ SV60 @ bool ) @ ( ord_less @ SV60 ) @ SV312 ) @ SV261 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV60 @ bool @ ( hAPP @ SV60 @ ( fun @ SV60 @ bool ) @ ( ord_less @ SV60 ) @ SV261 ) @ SV312 ) )
= $false )
| ( ( preorder @ SV60 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1197]) ).
thf(1275,plain,
! [SV262: $i,SV313: $i,SV61: $i] :
( ( ( hBOOL @ ( hAPP @ SV61 @ bool @ ( hAPP @ SV61 @ ( fun @ SV61 @ bool ) @ ( ord_less @ SV61 ) @ SV313 ) @ SV262 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV61 @ bool @ ( hAPP @ SV61 @ ( fun @ SV61 @ bool ) @ ( ord_less @ SV61 ) @ SV262 ) @ SV313 ) )
= $false )
| ( ( order @ SV61 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1198]) ).
thf(1276,plain,
! [SV263: $i,SV217: $i,SV314: $i,SV161: $i,SV62: $i] :
( ( ( ( hAPP @ SV62 @ SV161 @ SV314 @ SV217 )
!= ( ti @ SV161 @ SV263 ) )
= $true )
| ( ( ( hAPP @ SV161 @ SV62 @ ( hAPP @ ( fun @ SV62 @ SV161 ) @ ( fun @ SV161 @ SV62 ) @ ( hAPP @ ( fun @ SV62 @ bool ) @ ( fun @ ( fun @ SV62 @ SV161 ) @ ( fun @ SV161 @ SV62 ) ) @ ( hilbert_inv_into @ SV62 @ SV161 ) @ ( top_top @ ( fun @ SV62 @ bool ) ) ) @ SV314 ) @ SV263 )
= ( ti @ SV62 @ SV217 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV62 @ bool ) @ bool @ ( hAPP @ ( fun @ SV62 @ SV161 ) @ ( fun @ ( fun @ SV62 @ bool ) @ bool ) @ ( inj_on @ SV62 @ SV161 ) @ SV314 ) @ ( top_top @ ( fun @ SV62 @ bool ) ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1199]) ).
thf(1277,plain,
! [SV264: $i,SV352: $i,SV316: $i,SV64: $i] :
( ( ( hBOOL @ ( hAPP @ SV64 @ bool @ ( hAPP @ SV64 @ ( fun @ SV64 @ bool ) @ ( ord_less @ SV64 ) @ SV316 ) @ SV352 ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ SV64 @ bool @ ( hAPP @ SV64 @ ( fun @ SV64 @ bool ) @ ( ord_less @ SV64 ) @ SV352 ) @ SV264 ) )
| ( hBOOL @ ( hAPP @ SV64 @ bool @ ( hAPP @ SV64 @ ( fun @ SV64 @ bool ) @ ( ord_less @ SV64 ) @ SV316 ) @ SV264 ) ) )
= $true )
| ( ( preorder @ SV64 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1200]) ).
thf(1278,plain,
! [SV353: $i,SV317: $i,SV265: $i,SV218: $i,SV163: $i,SV65: $i] :
( ( ( ( hAPP @ SV65 @ ( product_prod @ SV163 @ SV65 ) @ ( hAPP @ SV163 @ ( fun @ SV65 @ ( product_prod @ SV163 @ SV65 ) ) @ ( product_Pair @ SV163 @ SV65 ) @ SV218 ) @ SV265 )
= ( hAPP @ SV65 @ ( product_prod @ SV163 @ SV65 ) @ ( hAPP @ SV163 @ ( fun @ SV65 @ ( product_prod @ SV163 @ SV65 ) ) @ ( product_Pair @ SV163 @ SV65 ) @ SV317 ) @ SV353 ) )
= $false )
| ( ( ~ ( ( ( ti @ SV163 @ SV218 )
!= ( ti @ SV163 @ SV317 ) )
| ( ( ti @ SV65 @ SV265 )
!= ( ti @ SV65 @ SV353 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1201]) ).
thf(1279,plain,
! [SV318: $i,SV266: $i,SV67: $i] :
( ( ( ~ ( ( ( ti @ SV67 @ SV266 )
!= ( ti @ SV67 @ SV318 ) ) )
| ( hBOOL @ ( hAPP @ SV67 @ bool @ ( hAPP @ SV67 @ ( fun @ SV67 @ bool ) @ ( ord_less @ SV67 ) @ SV266 ) @ SV318 ) )
| ( hBOOL @ ( hAPP @ SV67 @ bool @ ( hAPP @ SV67 @ ( fun @ SV67 @ bool ) @ ( ord_less @ SV67 ) @ SV318 ) @ SV266 ) ) )
= $true )
| ( ( linorder @ SV67 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1202]) ).
thf(1280,plain,
! [SV318: $i,SV266: $i,SV67: $i] :
( ( ( ~ ( ( hBOOL @ ( hAPP @ SV67 @ bool @ ( hAPP @ SV67 @ ( fun @ SV67 @ bool ) @ ( ord_less @ SV67 ) @ SV266 ) @ SV318 ) )
| ( hBOOL @ ( hAPP @ SV67 @ bool @ ( hAPP @ SV67 @ ( fun @ SV67 @ bool ) @ ( ord_less @ SV67 ) @ SV318 ) @ SV266 ) ) )
| ( ( ti @ SV67 @ SV266 )
!= ( ti @ SV67 @ SV318 ) ) )
= $true )
| ( ( linorder @ SV67 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1203]) ).
thf(1281,plain,
! [SV267: $i,SV354: $i,SV319: $i,SV68: $i] :
( ( ( hBOOL @ ( hAPP @ SV68 @ bool @ ( hAPP @ SV68 @ ( fun @ SV68 @ bool ) @ ( ord_less @ SV68 ) @ SV319 ) @ SV354 ) )
= $false )
| ( ( ( SV319 != SV267 )
| ( hBOOL @ ( hAPP @ SV68 @ bool @ ( hAPP @ SV68 @ ( fun @ SV68 @ bool ) @ ( ord_less @ SV68 ) @ SV267 ) @ SV354 ) ) )
= $true )
| ( ( order @ SV68 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1204]) ).
thf(1282,plain,
! [SV219: $i,SV268: $i,SV355: $i,SV320: $i,SV165: $i,SV69: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ SV69 @ bool ) @ bool @ ( hAPP @ ( fun @ SV69 @ SV165 ) @ ( fun @ ( fun @ SV69 @ bool ) @ bool ) @ ( inj_on @ SV69 @ SV165 ) @ SV320 ) @ SV355 ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV69 @ bool ) @ bool @ ( hAPP @ SV69 @ ( fun @ ( fun @ SV69 @ bool ) @ bool ) @ ( member @ SV69 ) @ SV268 ) @ SV355 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV69 @ bool ) @ bool @ ( hAPP @ SV69 @ ( fun @ ( fun @ SV69 @ bool ) @ bool ) @ ( member @ SV69 ) @ SV219 ) @ SV355 ) )
| ~ ( ~ ( ( ( hAPP @ SV69 @ SV165 @ SV320 @ SV268 )
!= ( hAPP @ SV69 @ SV165 @ SV320 @ SV219 ) )
| ( ( ti @ SV69 @ SV268 )
= ( ti @ SV69 @ SV219 ) ) )
| ~ ( ( ( ti @ SV69 @ SV268 )
!= ( ti @ SV69 @ SV219 ) )
| ( ( hAPP @ SV69 @ SV165 @ SV320 @ SV268 )
= ( hAPP @ SV69 @ SV165 @ SV320 @ SV219 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1205]) ).
thf(1283,plain,
! [SV166: $i,SV70: $i,SV367: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV367 ) @ arrow_1834574746e_Prof ) )
| ( ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV70 @ SV367 )
= ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV367 @ SV166 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ arrow_1384031255e_indi @ bool @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ bool ) @ arrow_1990387629ctator @ SV70 ) @ SV166 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1206]) ).
thf(1284,plain,
! [SV70: $i,SV166: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( sK8_SY783 @ SV166 @ SV70 ) ) @ arrow_1834574746e_Prof ) )
| ( ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV70 @ ( sK8_SY783 @ SV166 @ SV70 ) )
= ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( sK8_SY783 @ SV166 @ SV70 ) @ SV166 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ arrow_1384031255e_indi @ bool @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ bool ) @ arrow_1990387629ctator @ SV70 ) @ SV166 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1207]) ).
thf(1285,plain,
! [SV321: $i,SV269: $i,SV71: $i] :
( ( ( ( ti @ SV71 @ SV269 )
= ( ti @ SV71 @ SV321 ) )
= $true )
| ( ( ~ ~ ( hBOOL @ ( hAPP @ SV71 @ bool @ ( hAPP @ SV71 @ ( fun @ SV71 @ bool ) @ ( ord_less @ SV71 ) @ SV269 ) @ SV321 ) )
| ( hBOOL @ ( hAPP @ SV71 @ bool @ ( hAPP @ SV71 @ ( fun @ SV71 @ bool ) @ ( ord_less @ SV71 ) @ SV321 ) @ SV269 ) ) )
= $true )
| ( ( linorder @ SV71 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1208]) ).
thf(1286,plain,
! [SV72: $i,SV270: $i,SV322: $i] :
( ( ( SV322 = SV270 )
= $false )
| ( ( hBOOL @ ( hAPP @ SV72 @ bool @ ( hAPP @ SV72 @ ( fun @ SV72 @ bool ) @ ( ord_less @ SV72 ) @ SV270 ) @ SV322 ) )
= $false )
| ( ( order @ SV72 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1209]) ).
thf(1287,plain,
! [SV272: $i,SV323: $i,SV74: $i] :
( ( ( hBOOL @ ( hAPP @ SV74 @ bool @ ( hAPP @ SV74 @ ( fun @ SV74 @ bool ) @ ( ord_less @ SV74 ) @ SV323 ) @ SV272 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV74 @ bool @ ( hAPP @ SV74 @ ( fun @ SV74 @ bool ) @ ( ord_less @ SV74 ) @ SV272 ) @ SV323 ) )
= $false )
| ( ( preorder @ SV74 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1210]) ).
thf(1288,plain,
! [SV75: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1211]) ).
thf(1289,plain,
! [SV75: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1212]) ).
thf(1290,plain,
! [SV221: $i,SV273: $i,SV356: $i,SV324: $i,SV168: $i,SV77: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ SV77 @ bool ) @ bool @ ( hAPP @ ( fun @ SV77 @ SV168 ) @ ( fun @ ( fun @ SV77 @ bool ) @ bool ) @ ( inj_on @ SV77 @ SV168 ) @ SV324 ) @ SV356 ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV77 @ bool ) @ bool @ ( hAPP @ SV77 @ ( fun @ ( fun @ SV77 @ bool ) @ bool ) @ ( member @ SV77 ) @ SV273 ) @ SV356 ) )
| ( ( hAPP @ SV77 @ SV168 @ SV324 @ SV273 )
!= ( ti @ SV168 @ SV221 ) )
| ( ( hAPP @ SV168 @ SV77 @ ( hAPP @ ( fun @ SV77 @ SV168 ) @ ( fun @ SV168 @ SV77 ) @ ( hAPP @ ( fun @ SV77 @ bool ) @ ( fun @ ( fun @ SV77 @ SV168 ) @ ( fun @ SV168 @ SV77 ) ) @ ( hilbert_inv_into @ SV77 @ SV168 ) @ SV356 ) @ SV324 ) @ SV221 )
= ( ti @ SV77 @ SV273 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1213]) ).
thf(1291,plain,
! [SV222: $i,SV169: $i,SV78: $i] :
( ( ( ( hAPP @ SV78 @ SV169 @ SV222 @ ( sK1_SY902 @ SV222 @ SV169 @ SV78 ) )
!= ( hAPP @ SV78 @ SV169 @ SV222 @ ( sK5_SY1048 @ SV222 @ SV169 @ SV78 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV78 @ bool ) @ bool @ ( hAPP @ ( fun @ SV78 @ SV169 ) @ ( fun @ ( fun @ SV78 @ bool ) @ bool ) @ ( inj_on @ SV78 @ SV169 ) @ SV222 ) @ ( top_top @ ( fun @ SV78 @ bool ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1214]) ).
thf(1292,plain,
! [SV169: $i,SV222: $i,SV78: $i] :
( ( ( ( ti @ SV78 @ ( sK1_SY902 @ SV222 @ SV169 @ SV78 ) )
= ( ti @ SV78 @ ( sK5_SY1048 @ SV222 @ SV169 @ SV78 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV78 @ bool ) @ bool @ ( hAPP @ ( fun @ SV78 @ SV169 ) @ ( fun @ ( fun @ SV78 @ bool ) @ bool ) @ ( inj_on @ SV78 @ SV169 ) @ SV222 ) @ ( top_top @ ( fun @ SV78 @ bool ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1214]) ).
thf(1293,plain,
! [SV223: $i,SV274: $i,SV170: $i,SV79: $i] :
( ( ( ! [SY986: $i] :
( ( hAPP @ SV79 @ SV170 @ SV274 @ ( hAPP @ SV170 @ SV79 @ SV223 @ SY986 ) )
= ( ti @ SV170 @ SY986 ) ) )
= $false )
| ( ( ( hAPP @ ( fun @ SV79 @ SV170 ) @ ( fun @ SV170 @ SV79 ) @ ( hAPP @ ( fun @ SV79 @ bool ) @ ( fun @ ( fun @ SV79 @ SV170 ) @ ( fun @ SV170 @ SV79 ) ) @ ( hilbert_inv_into @ SV79 @ SV170 ) @ ( top_top @ ( fun @ SV79 @ bool ) ) ) @ SV274 )
= ( ti @ ( fun @ SV170 @ SV79 ) @ SV223 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV79 @ bool ) @ bool @ ( hAPP @ ( fun @ SV79 @ SV170 ) @ ( fun @ ( fun @ SV79 @ bool ) @ bool ) @ ( inj_on @ SV79 @ SV170 ) @ SV274 ) @ ( top_top @ ( fun @ SV79 @ bool ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1215]) ).
thf(1294,plain,
! [SV224: $i,SV171: $i,SV80: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV80 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV80 ) @ SV171 ) @ SV224 ) ) @ arrow_638930832le_Lin ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV171 )
= ( ti @ arrow_1212486748le_alt @ SV224 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1216]) ).
thf(1295,plain,
! [SV275: $i,SV225: $i,SV357: $i,SV325: $i,SV172: $i,SV81: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ SV81 @ bool ) @ bool @ ( hAPP @ ( fun @ SV81 @ SV172 ) @ ( fun @ ( fun @ SV81 @ bool ) @ bool ) @ ( inj_on @ SV81 @ SV172 ) @ SV325 ) @ SV357 ) )
= $false )
| ( ( ~ ( ( ( ti @ SV81 @ SV225 )
!= ( ti @ SV81 @ SV275 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV81 @ bool ) @ bool @ ( hAPP @ SV81 @ ( fun @ ( fun @ SV81 @ bool ) @ bool ) @ ( member @ SV81 ) @ SV225 ) @ SV357 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV81 @ bool ) @ bool @ ( hAPP @ SV81 @ ( fun @ ( fun @ SV81 @ bool ) @ bool ) @ ( member @ SV81 ) @ SV275 ) @ SV357 ) )
| ( ( hAPP @ SV81 @ SV172 @ SV325 @ SV225 )
!= ( hAPP @ SV81 @ SV172 @ SV325 @ SV275 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1217]) ).
thf(1296,plain,
! [SV276: $i,SV226: $i,SV173: $i,SV82: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ SV226 ) @ SV276 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV173 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV173 ) ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ SV226 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1218]) ).
thf(1297,plain,
! [SV226: $i,SV82: $i,SV276: $i,SV173: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV173 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV173 ) ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ SV226 ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ SV226 ) @ SV276 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1219]) ).
thf(1298,plain,
! [SV227: $i,SV83: $i,SV174: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV174 ) @ SV83 ) ) @ SV227 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV83 ) @ SV174 ) ) @ SV227 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV227 ) @ arrow_638930832le_Lin ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1220]) ).
thf(1299,plain,
! [SV84: $i,SV175: $i,SV277: $i,SV228: $i,SV358: $i,SV326: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
!= ( ti @ arrow_1212486748le_alt @ SV358 ) )
= $false )
| ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV228 )
!= ( ti @ arrow_1212486748le_alt @ SV277 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
!= ( ti @ arrow_1212486748le_alt @ SV277 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV358 )
!= ( ti @ arrow_1212486748le_alt @ SV228 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV175 ) @ arrow_1834574746e_Prof ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV84 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY1049: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ SY1049 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ SY1049 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ SY1049 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ SY1049 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1221]) ).
thf(1300,plain,
! [SV278: $i,SV359: $i,SV327: $i,SV85: $i] :
( ( ( hBOOL @ ( hAPP @ SV85 @ bool @ ( hAPP @ SV85 @ ( fun @ SV85 @ bool ) @ ( ord_less @ SV85 ) @ SV327 ) @ SV359 ) )
= $false )
| ( ( ( SV359 != SV278 )
| ( hBOOL @ ( hAPP @ SV85 @ bool @ ( hAPP @ SV85 @ ( fun @ SV85 @ bool ) @ ( ord_less @ SV85 ) @ SV327 ) @ SV278 ) ) )
= $true )
| ( ( ord @ SV85 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1222]) ).
thf(1301,plain,
! [SV279: $i,SV87: $i,SV360: $i,SV328: $i] :
( ( ( SV328 = SV360 )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ SV87 @ bool @ ( hAPP @ SV87 @ ( fun @ SV87 @ bool ) @ ( ord_less @ SV87 ) @ SV279 ) @ SV360 ) )
| ( hBOOL @ ( hAPP @ SV87 @ bool @ ( hAPP @ SV87 @ ( fun @ SV87 @ bool ) @ ( ord_less @ SV87 ) @ SV279 ) @ SV328 ) ) )
= $true )
| ( ( order @ SV87 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1223]) ).
thf(1302,plain,
! [SV329: $i,SV280: $i,SV88: $i] :
( ( ( hBOOL @ ( hAPP @ SV88 @ bool @ ( hAPP @ SV88 @ ( fun @ SV88 @ bool ) @ ( ord_less @ SV88 ) @ SV280 ) @ SV329 ) )
= $true )
| ( ( ~ ( ( ( ti @ SV88 @ SV280 )
!= ( ti @ SV88 @ SV329 ) ) )
| ( hBOOL @ ( hAPP @ SV88 @ bool @ ( hAPP @ SV88 @ ( fun @ SV88 @ bool ) @ ( ord_less @ SV88 ) @ SV329 ) @ SV280 ) ) )
= $true )
| ( ( linorder @ SV88 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1224]) ).
thf(1303,plain,
! [SV89: $i,SV366: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV366 ) @ arrow_1834574746e_Prof ) ) )
= $true )
| ( ( ! [SY1059: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SY1059 ) @ arrow_1834574746e_Prof ) )
| ! [SY1060: $i,SY1061: $i] :
( ~ ! [SY1062: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1060 ) @ SY1061 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV366 @ SY1062 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1060 ) @ SY1061 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY1059 @ SY1062 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1060 ) @ SY1061 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY1059 @ SY1062 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1060 ) @ SY1061 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV366 @ SY1062 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1060 ) @ SY1061 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1060 ) @ SY1061 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SY1059 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1060 ) @ SY1061 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SY1059 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1060 ) @ SY1061 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1225]) ).
thf(1304,plain,
! [SV89: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( sK6_SY617 @ SV89 ) ) @ arrow_1834574746e_Prof ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1226]) ).
thf(1305,plain,
! [SV89: $i] :
( ( ( ! [SY1063: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SY1063 ) @ arrow_1834574746e_Prof ) )
| ! [SY1064: $i,SY1065: $i] :
( ~ ! [SY1066: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1064 ) @ SY1065 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( sK6_SY617 @ SV89 ) @ SY1066 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1064 ) @ SY1065 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY1063 @ SY1066 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1064 ) @ SY1065 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY1063 @ SY1066 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1064 ) @ SY1065 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( sK6_SY617 @ SV89 ) @ SY1066 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1064 ) @ SY1065 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ ( sK6_SY617 @ SV89 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1064 ) @ SY1065 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SY1063 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1064 ) @ SY1065 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SY1063 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1064 ) @ SY1065 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ ( sK6_SY617 @ SV89 ) ) ) ) ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1226]) ).
thf(1306,plain,
! [SV229: $i,SV177: $i,SV90: $i] :
( ( ( ! [SY914: $i] : ( hBOOL @ ( hAPP @ ( product_prod @ SV90 @ SV177 ) @ bool @ SV229 @ SY914 ) ) )
= $false )
| ( ( ! [SY915: $i,SY916: $i] : ( hBOOL @ ( hAPP @ ( product_prod @ SV90 @ SV177 ) @ bool @ SV229 @ ( hAPP @ SV177 @ ( product_prod @ SV90 @ SV177 ) @ ( hAPP @ SV90 @ ( fun @ SV177 @ ( product_prod @ SV90 @ SV177 ) ) @ ( product_Pair @ SV90 @ SV177 ) @ SY915 ) @ SY916 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1227]) ).
thf(1307,plain,
! [SV229: $i,SV177: $i,SV90: $i] :
( ( ( ! [SY917: $i,SY918: $i] : ( hBOOL @ ( hAPP @ ( product_prod @ SV90 @ SV177 ) @ bool @ SV229 @ ( hAPP @ SV177 @ ( product_prod @ SV90 @ SV177 ) @ ( hAPP @ SV90 @ ( fun @ SV177 @ ( product_prod @ SV90 @ SV177 ) ) @ ( product_Pair @ SV90 @ SV177 ) @ SY917 ) @ SY918 ) ) ) )
= $false )
| ( ( ! [SY919: $i] : ( hBOOL @ ( hAPP @ ( product_prod @ SV90 @ SV177 ) @ bool @ SV229 @ SY919 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1228]) ).
thf(1308,plain,
! [SV281: $i,SV230: $i,SV179: $i,SV93: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ ( fun @ SV93 @ SV179 ) @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( inj_on @ SV93 @ SV179 ) @ SV230 ) @ SV281 ) ) )
= $true )
| ( ( ! [SY997: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ SV93 @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( member @ SV93 ) @ SY997 ) @ SV281 ) )
| ! [SY998: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ SV93 @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( member @ SV93 ) @ SY998 ) @ SV281 ) )
| ( ( hAPP @ SV93 @ SV179 @ SV230 @ SY997 )
!= ( hAPP @ SV93 @ SV179 @ SV230 @ SY998 ) )
| ( ( ti @ SV93 @ SY997 )
= ( ti @ SV93 @ SY998 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1229]) ).
thf(1309,plain,
! [SV230: $i,SV179: $i,SV281: $i,SV93: $i] :
( ( ( ~ ! [SY999: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ SV93 @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( member @ SV93 ) @ SY999 ) @ SV281 ) )
| ! [SY1000: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ SV93 @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( member @ SV93 ) @ SY1000 ) @ SV281 ) )
| ( ( hAPP @ SV93 @ SV179 @ SV230 @ SY999 )
!= ( hAPP @ SV93 @ SV179 @ SV230 @ SY1000 ) )
| ( ( ti @ SV93 @ SY999 )
= ( ti @ SV93 @ SY1000 ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ ( fun @ SV93 @ SV179 ) @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( inj_on @ SV93 @ SV179 ) @ SV230 ) @ SV281 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1230]) ).
thf(1310,plain,
! [SV282: $i,SV361: $i,SV330: $i,SV94: $i] :
( ( ( hBOOL @ ( hAPP @ SV94 @ bool @ ( hAPP @ SV94 @ ( fun @ SV94 @ bool ) @ ( ord_less @ SV94 ) @ SV330 ) @ SV361 ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ SV94 @ bool @ ( hAPP @ SV94 @ ( fun @ SV94 @ bool ) @ ( ord_less @ SV94 ) @ SV282 ) @ SV330 ) )
| ( hBOOL @ ( hAPP @ SV94 @ bool @ ( hAPP @ SV94 @ ( fun @ SV94 @ bool ) @ ( ord_less @ SV94 ) @ SV282 ) @ SV361 ) ) )
= $true )
| ( ( order @ SV94 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1231]) ).
thf(1311,plain,
! [SV232: $i,SV181: $i,SV97: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV97 )
= ( ti @ arrow_1212486748le_alt @ SV181 ) )
= $true )
| ( ( ~ ( ~ ( ~ ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV97 ) @ SV181 ) ) @ SV232 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV181 ) @ SV97 ) ) @ SV232 ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV181 ) @ SV97 ) ) @ SV232 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV97 ) @ SV181 ) ) @ SV232 ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV232 ) @ arrow_638930832le_Lin ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1232]) ).
thf(1312,plain,
! [SV331: $i,SV284: $i,SV98: $i] :
( ( ( hBOOL @ ( hAPP @ SV98 @ bool @ ( hAPP @ SV98 @ ( fun @ SV98 @ bool ) @ ( ord_less @ SV98 ) @ SV284 ) @ SV331 ) )
= $true )
| ( ( ~ ( ~ ( ~ ~ ( hBOOL @ ( hAPP @ SV98 @ bool @ ( hAPP @ SV98 @ ( fun @ SV98 @ bool ) @ ( ord_less @ SV98 ) @ SV331 ) @ SV284 ) )
| ( ( ti @ SV98 @ SV331 )
= ( ti @ SV98 @ SV284 ) ) )
| ~ ( ( ( ti @ SV98 @ SV331 )
!= ( ti @ SV98 @ SV284 ) )
| ~ ( hBOOL @ ( hAPP @ SV98 @ bool @ ( hAPP @ SV98 @ ( fun @ SV98 @ bool ) @ ( ord_less @ SV98 ) @ SV331 ) @ SV284 ) ) ) ) )
= $true )
| ( ( linorder @ SV98 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1233]) ).
thf(1313,plain,
! [SV233: $i,SV182: $i,SV99: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ SV99 @ bool ) @ bool @ ( hAPP @ SV99 @ ( fun @ ( fun @ SV99 @ bool ) @ bool ) @ ( member @ SV99 ) @ SV182 ) @ SV233 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV99 @ bool @ SV233 @ SV182 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1234]) ).
thf(1314,plain,
! [SV182: $i,SV233: $i,SV99: $i] :
( ( ( hBOOL @ ( hAPP @ SV99 @ bool @ SV233 @ SV182 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV99 @ bool ) @ bool @ ( hAPP @ SV99 @ ( fun @ ( fun @ SV99 @ bool ) @ bool ) @ ( member @ SV99 ) @ SV182 ) @ SV233 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1235]) ).
thf(1315,plain,
! [SV100: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1236]) ).
thf(1316,plain,
! [SV100: $i] :
( ( ( ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1236]) ).
thf(1317,plain,
! [SV100: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1237]) ).
thf(1318,plain,
! [SV285: $i,SV234: $i,SV183: $i,SV101: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ SV234 ) @ SV285 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV101 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV101 )
!= ( ti @ arrow_1212486748le_alt @ SV183 ) ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ SV234 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1238]) ).
thf(1319,plain,
! [SV234: $i,SV183: $i,SV285: $i,SV101: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV101 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV101 )
!= ( ti @ arrow_1212486748le_alt @ SV183 ) ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ SV234 ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ SV234 ) @ SV285 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1239]) ).
thf(1320,plain,
! [SV286: $i,SV332: $i,SV102: $i] :
( ( ( hBOOL @ ( hAPP @ SV102 @ bool @ ( hAPP @ SV102 @ ( fun @ SV102 @ bool ) @ ( ord_less @ SV102 ) @ SV332 ) @ SV286 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV102 @ bool @ ( hAPP @ SV102 @ ( fun @ SV102 @ bool ) @ ( ord_less @ SV102 ) @ SV286 ) @ SV332 ) )
= $false )
| ( ( preorder @ SV102 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1240]) ).
thf(1321,plain,
! [SV333: $i,SV287: $i,SV103: $i] :
( ( ( ~ ~ ( hBOOL @ ( hAPP @ SV103 @ bool @ ( hAPP @ SV103 @ ( fun @ SV103 @ bool ) @ ( ord_less @ SV103 ) @ SV287 ) @ SV333 ) )
| ( hBOOL @ ( hAPP @ SV103 @ bool @ ( hAPP @ SV103 @ ( fun @ SV103 @ bool ) @ ( ord_less @ SV103 ) @ SV333 ) @ SV287 ) )
| ( ( ti @ SV103 @ SV287 )
= ( ti @ SV103 @ SV333 ) ) )
= $true )
| ( ( linorder @ SV103 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1241]) ).
thf(1322,plain,
! [SV287: $i,SV333: $i,SV103: $i] :
( ( ( ~ ( ( hBOOL @ ( hAPP @ SV103 @ bool @ ( hAPP @ SV103 @ ( fun @ SV103 @ bool ) @ ( ord_less @ SV103 ) @ SV333 ) @ SV287 ) )
| ( ( ti @ SV103 @ SV287 )
= ( ti @ SV103 @ SV333 ) ) )
| ~ ( hBOOL @ ( hAPP @ SV103 @ bool @ ( hAPP @ SV103 @ ( fun @ SV103 @ bool ) @ ( ord_less @ SV103 ) @ SV287 ) @ SV333 ) ) )
= $true )
| ( ( linorder @ SV103 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1242]) ).
thf(1323,plain,
! [SV104: $i,SV184: $i,SV288: $i,SV235: $i,SV362: $i,SV334: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
!= ( ti @ arrow_1212486748le_alt @ SV362 ) )
= $false )
| ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV235 )
!= ( ti @ arrow_1212486748le_alt @ SV288 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
!= ( ti @ arrow_1212486748le_alt @ SV288 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV362 )
!= ( ti @ arrow_1212486748le_alt @ SV235 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV184 ) @ arrow_1834574746e_Prof ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV104 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY1050: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV184 @ SY1050 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV104 @ SY1050 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV104 @ SY1050 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV184 @ SY1050 ) ) ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV184 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV104 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1243]) ).
thf(1324,plain,
! [SV105: $i,SV335: $i,SV289: $i] :
( ( ( SV289 = SV335 )
= $false )
| ( ( hBOOL @ ( hAPP @ SV105 @ bool @ ( hAPP @ SV105 @ ( fun @ SV105 @ bool ) @ ( ord_less @ SV105 ) @ SV289 ) @ SV335 ) )
= $false )
| ( ( order @ SV105 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1244]) ).
thf(1325,plain,
! [SV106: $i,SV185: $i,SV236: $i,SV336: $i,SV290: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV336 ) )
= $true )
| ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV336 )
!= ( ti @ arrow_1212486748le_alt @ SV236 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
!= ( ti @ arrow_1212486748le_alt @ SV236 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV185 ) @ arrow_1834574746e_Prof ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV106 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY1044: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ SY1044 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ SY1044 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ SY1044 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ SY1044 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1245]) ).
thf(1326,plain,
! [SV292: $i,SV237: $i,SV363: $i,SV338: $i,SV187: $i,SV109: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ SV109 @ bool ) @ bool @ ( hAPP @ ( fun @ SV109 @ SV187 ) @ ( fun @ ( fun @ SV109 @ bool ) @ bool ) @ ( inj_on @ SV109 @ SV187 ) @ SV338 ) @ SV363 ) )
= $false )
| ( ( ( ( hAPP @ SV109 @ SV187 @ SV338 @ SV237 )
!= ( hAPP @ SV109 @ SV187 @ SV338 @ SV292 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV109 @ bool ) @ bool @ ( hAPP @ SV109 @ ( fun @ ( fun @ SV109 @ bool ) @ bool ) @ ( member @ SV109 ) @ SV237 ) @ SV363 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV109 @ bool ) @ bool @ ( hAPP @ SV109 @ ( fun @ ( fun @ SV109 @ bool ) @ bool ) @ ( member @ SV109 ) @ SV292 ) @ SV363 ) )
| ( ( ti @ SV109 @ SV237 )
= ( ti @ SV109 @ SV292 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1247]) ).
thf(1327,plain,
! [SV293: $i,SV339: $i,SV110: $i] :
( ( ( hBOOL @ ( hAPP @ SV110 @ bool @ ( hAPP @ SV110 @ ( fun @ SV110 @ bool ) @ ( ord_less @ SV110 ) @ SV339 ) @ SV293 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV110 @ bool @ ( hAPP @ SV110 @ ( fun @ SV110 @ bool ) @ ( ord_less @ SV110 ) @ SV293 ) @ SV339 ) )
= $false )
| ( ( preorder @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1248]) ).
thf(1328,plain,
! [SV294: $i,SV364: $i,SV340: $i,SV111: $i] :
( ( ( hBOOL @ ( hAPP @ SV111 @ bool @ ( hAPP @ SV111 @ ( fun @ SV111 @ bool ) @ ( ord_less @ SV111 ) @ SV340 ) @ SV364 ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ SV111 @ bool @ ( hAPP @ SV111 @ ( fun @ SV111 @ bool ) @ ( ord_less @ SV111 ) @ SV364 ) @ SV340 ) )
| ( hBOOL @ SV294 ) )
= $true )
| ( ( preorder @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1249]) ).
thf(1329,plain,
! [SV295: $i,SV113: $i] :
( ( ( ~ ( ( ( ti @ SV113 @ SV295 )
!= ( top_top @ SV113 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV113 @ bool @ ( hAPP @ SV113 @ ( fun @ SV113 @ bool ) @ ( ord_less @ SV113 ) @ SV295 ) @ ( top_top @ SV113 ) ) )
= $true )
| ( ( top @ SV113 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1250]) ).
thf(1330,plain,
! [SV295: $i,SV113: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV113 @ bool @ ( hAPP @ SV113 @ ( fun @ SV113 @ bool ) @ ( ord_less @ SV113 ) @ SV295 ) @ ( top_top @ SV113 ) ) ) )
= $true )
| ( ( ( ti @ SV113 @ SV295 )
!= ( top_top @ SV113 ) )
= $true )
| ( ( top @ SV113 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1251]) ).
thf(1331,plain,
! [SV115: $i,SV341: $i,SV297: $i] :
( ( ( SV297 = SV341 )
= $false )
| ( ( hBOOL @ ( hAPP @ SV115 @ bool @ ( hAPP @ SV115 @ ( fun @ SV115 @ bool ) @ ( ord_less @ SV115 ) @ SV297 ) @ SV341 ) )
= $false )
| ( ( order @ SV115 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1253]) ).
thf(1332,plain,
! [SV247: $i,SV205: $i,SV302: $i,SV145: $i,SV40: $i] :
( ( ( ( hAPP @ SV40 @ SV145 @ SV302 @ SV205 )
= ( hAPP @ SV40 @ SV145 @ SV302 @ SV247 ) )
= $false )
| ( ( ( ti @ SV40 @ SV205 )
= ( ti @ SV40 @ SV247 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV40 @ bool ) @ bool @ ( hAPP @ ( fun @ SV40 @ SV145 ) @ ( fun @ ( fun @ SV40 @ bool ) @ bool ) @ ( inj_on @ SV40 @ SV145 ) @ SV302 ) @ ( top_top @ ( fun @ SV40 @ bool ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1254]) ).
thf(1333,plain,
! [SV41: $i,SV146: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( sK2_SY725 @ SV146 @ SV41 ) ) @ arrow_638930832le_Lin ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV41 ) @ SV146 ) ) @ ( sK2_SY725 @ SV146 @ SV41 ) ) ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV41 )
= ( ti @ arrow_1212486748le_alt @ SV146 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1255]) ).
thf(1334,plain,
! [SV43: $i,SV365: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV365 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ! [SY1051: $i,SY1052: $i] :
( ~ ! [SY1053: $i] : ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1051 ) @ SY1052 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV365 @ SY1053 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1051 ) @ SY1052 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV43 @ SV365 ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_1932713123nimity @ SV43 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1256]) ).
thf(1335,plain,
! [SV43: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( sK3_SY466 @ SV43 ) ) @ arrow_1834574746e_Prof ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_1932713123nimity @ SV43 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1257]) ).
thf(1336,plain,
! [SV43: $i] :
( ( ( ! [SY1067: $i] :
( ~ ! [SY1068: $i] : ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK9_SY1054 @ SV43 ) ) @ SY1067 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( sK3_SY466 @ SV43 ) @ SY1068 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK9_SY1054 @ SV43 ) ) @ SY1067 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV43 @ ( sK3_SY466 @ SV43 ) ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_1932713123nimity @ SV43 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1258]) ).
thf(1337,plain,
! [SV303: $i,SV346: $i,SV207: $i,SV249: $i,SV46: $i,SV150: $i] :
( ( ( ~ ~ ( hBOOL @ ( hAPP @ ( fun @ SV150 @ bool ) @ bool @ ( hAPP @ SV150 @ ( fun @ ( fun @ SV150 @ bool ) @ bool ) @ ( member @ SV150 ) @ ( hAPP @ SV46 @ SV150 @ SV249 @ SV207 ) ) @ ( hAPP @ SV46 @ ( fun @ SV150 @ bool ) @ SV346 @ SV207 ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV46 @ bool ) @ bool @ ( hAPP @ SV46 @ ( fun @ ( fun @ SV46 @ bool ) @ bool ) @ ( member @ SV46 ) @ SV207 ) @ SV303 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ SV46 @ SV150 ) @ bool ) @ bool @ ( hAPP @ ( fun @ SV46 @ SV150 ) @ ( fun @ ( fun @ ( fun @ SV46 @ SV150 ) @ bool ) @ bool ) @ ( member @ ( fun @ SV46 @ SV150 ) ) @ SV249 ) @ ( hAPP @ ( fun @ SV46 @ ( fun @ SV150 @ bool ) ) @ ( fun @ ( fun @ SV46 @ SV150 ) @ bool ) @ ( hAPP @ ( fun @ SV46 @ bool ) @ ( fun @ ( fun @ SV46 @ ( fun @ SV150 @ bool ) ) @ ( fun @ ( fun @ SV46 @ SV150 ) @ bool ) ) @ ( pi @ SV46 @ SV150 ) @ SV303 ) @ SV346 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1259]) ).
thf(1338,plain,
! [SV347: $i,SV250: $i,SV151: $i,SV304: $i,SV208: $i,SV47: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV47 @ bool ) @ bool @ ( hAPP @ SV47 @ ( fun @ ( fun @ SV47 @ bool ) @ bool ) @ ( member @ SV47 ) @ SV208 ) @ SV304 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV151 @ bool ) @ bool @ ( hAPP @ SV151 @ ( fun @ ( fun @ SV151 @ bool ) @ bool ) @ ( member @ SV151 ) @ ( hAPP @ SV47 @ SV151 @ SV250 @ SV208 ) ) @ ( hAPP @ SV47 @ ( fun @ SV151 @ bool ) @ SV347 @ SV208 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ SV47 @ SV151 ) @ bool ) @ bool @ ( hAPP @ ( fun @ SV47 @ SV151 ) @ ( fun @ ( fun @ ( fun @ SV47 @ SV151 ) @ bool ) @ bool ) @ ( member @ ( fun @ SV47 @ SV151 ) ) @ SV250 ) @ ( hAPP @ ( fun @ SV47 @ ( fun @ SV151 @ bool ) ) @ ( fun @ ( fun @ SV47 @ SV151 ) @ bool ) @ ( hAPP @ ( fun @ SV47 @ bool ) @ ( fun @ ( fun @ SV47 @ ( fun @ SV151 @ bool ) ) @ ( fun @ ( fun @ SV47 @ SV151 ) @ bool ) ) @ ( pi @ SV47 @ SV151 ) @ SV304 ) @ SV347 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1260]) ).
thf(1339,plain,
! [SV348: $i,SV305: $i,SV251: $i,SV209: $i,SV152: $i,SV48: $i] :
( ( ( ( hAPP @ SV48 @ ( product_prod @ SV152 @ SV48 ) @ ( hAPP @ SV152 @ ( fun @ SV48 @ ( product_prod @ SV152 @ SV48 ) ) @ ( product_Pair @ SV152 @ SV48 ) @ SV209 ) @ SV251 )
!= ( hAPP @ SV48 @ ( product_prod @ SV152 @ SV48 ) @ ( hAPP @ SV152 @ ( fun @ SV48 @ ( product_prod @ SV152 @ SV48 ) ) @ ( product_Pair @ SV152 @ SV48 ) @ SV305 ) @ SV348 ) )
| ~ ( ( ( ti @ SV152 @ SV209 )
!= ( ti @ SV152 @ SV305 ) )
| ( ( ti @ SV48 @ SV251 )
!= ( ti @ SV48 @ SV348 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1261]) ).
thf(1340,plain,
! [SV348: $i,SV251: $i,SV48: $i,SV305: $i,SV209: $i,SV152: $i] :
( ( ~ ~ ( ( ( ti @ SV152 @ SV209 )
!= ( ti @ SV152 @ SV305 ) )
| ( ( ti @ SV48 @ SV251 )
!= ( ti @ SV48 @ SV348 ) ) )
| ( ( hAPP @ SV48 @ ( product_prod @ SV152 @ SV48 ) @ ( hAPP @ SV152 @ ( fun @ SV48 @ ( product_prod @ SV152 @ SV48 ) ) @ ( product_Pair @ SV152 @ SV48 ) @ SV209 ) @ SV251 )
= ( hAPP @ SV48 @ ( product_prod @ SV152 @ SV48 ) @ ( hAPP @ SV152 @ ( fun @ SV48 @ ( product_prod @ SV152 @ SV48 ) ) @ ( product_Pair @ SV152 @ SV48 ) @ SV305 ) @ SV348 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1262]) ).
thf(1341,plain,
! [SV49: $i,SV153: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( sK4_SY740 @ SV153 @ SV49 ) ) @ arrow_1834574746e_Prof ) )
= $true )
| ( ( hBOOL @ ( hAPP @ arrow_1384031255e_indi @ bool @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ bool ) @ arrow_1990387629ctator @ SV153 ) @ SV49 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV153 ) @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) ) @ ( pi @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1834574746e_Prof ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( combk @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_638930832le_Lin ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1263]) ).
thf(1342,plain,
! [SV153: $i,SV49: $i] :
( ( ( ! [SY1069: $i] :
( ~ ( ( ( ti @ arrow_1212486748le_alt @ ( sK10_SY1057 @ SV49 @ SV153 ) )
!= ( ti @ arrow_1212486748le_alt @ SY1069 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK10_SY1057 @ SV49 @ SV153 ) ) @ SY1069 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( sK4_SY740 @ SV153 @ SV49 ) @ SV49 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK10_SY1057 @ SV49 @ SV153 ) ) @ SY1069 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV153 @ ( sK4_SY740 @ SV153 @ SV49 ) ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ arrow_1384031255e_indi @ bool @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ bool ) @ arrow_1990387629ctator @ SV153 ) @ SV49 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV153 ) @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) ) @ ( pi @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1834574746e_Prof ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( combk @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_638930832le_Lin ) ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1264]) ).
thf(1343,plain,
! [SV210: $i,SV252: $i,SV154: $i,SV50: $i] :
( ( ( ! [SY954: $i,SY955: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SY954 ) @ SY955 ) ) @ SV252 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SY954 ) @ SY955 ) ) @ SV210 ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SY954 ) @ SY955 ) ) @ SV210 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SY954 ) @ SY955 ) ) @ SV252 ) ) ) ) )
= $false )
| ( ( ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV252 )
= ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV210 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1265]) ).
thf(1344,plain,
! [SV210: $i,SV252: $i,SV154: $i,SV50: $i] :
( ( ( ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV252 )
= ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV210 ) )
= $false )
| ( ( ! [SY956: $i,SY957: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SY956 ) @ SY957 ) ) @ SV252 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SY956 ) @ SY957 ) ) @ SV210 ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SY956 ) @ SY957 ) ) @ SV210 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SY956 ) @ SY957 ) ) @ SV252 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1266]) ).
thf(1345,plain,
! [SV306: $i,SV253: $i,SV155: $i,SV51: $i,SV211: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
| ~ ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV155 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV253 ) @ SV155 ) ) @ SV211 ) ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV253 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV253 ) ) @ SV211 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) ) ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV155 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV253 ) @ SV155 ) ) @ SV211 ) ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV253 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV253 ) ) @ SV211 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) ) ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) ) ) ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1267]) ).
thf(1346,plain,
! [SV254: $i,SV212: $i,SV307: $i,SV156: $i,SV52: $i] :
( ( ( ~ ( ( ( hAPP @ SV52 @ SV156 @ SV307 @ SV212 )
!= ( hAPP @ SV52 @ SV156 @ SV307 @ SV254 ) )
| ( ( ti @ SV52 @ SV212 )
= ( ti @ SV52 @ SV254 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV52 @ bool ) @ bool @ ( hAPP @ ( fun @ SV52 @ SV156 ) @ ( fun @ ( fun @ SV52 @ bool ) @ bool ) @ ( inj_on @ SV52 @ SV156 ) @ SV307 ) @ ( top_top @ ( fun @ SV52 @ bool ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1268]) ).
thf(1347,plain,
! [SV307: $i,SV156: $i,SV254: $i,SV212: $i,SV52: $i] :
( ( ( ~ ( ( ( ti @ SV52 @ SV212 )
!= ( ti @ SV52 @ SV254 ) )
| ( ( hAPP @ SV52 @ SV156 @ SV307 @ SV212 )
= ( hAPP @ SV52 @ SV156 @ SV307 @ SV254 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV52 @ bool ) @ bool @ ( hAPP @ ( fun @ SV52 @ SV156 ) @ ( fun @ ( fun @ SV52 @ bool ) @ bool ) @ ( inj_on @ SV52 @ SV156 ) @ SV307 ) @ ( top_top @ ( fun @ SV52 @ bool ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1268]) ).
thf(1348,plain,
! [SV349: $i,SV255: $i,SV157: $i,SV308: $i,SV213: $i,SV53: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV53 @ bool ) @ bool @ ( hAPP @ SV53 @ ( fun @ ( fun @ SV53 @ bool ) @ bool ) @ ( member @ SV53 ) @ SV213 ) @ SV308 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV157 @ bool ) @ bool @ ( hAPP @ SV157 @ ( fun @ ( fun @ SV157 @ bool ) @ bool ) @ ( member @ SV157 ) @ ( hAPP @ SV53 @ SV157 @ SV255 @ SV213 ) ) @ SV349 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ SV53 @ SV157 ) @ bool ) @ bool @ ( hAPP @ ( fun @ SV53 @ SV157 ) @ ( fun @ ( fun @ ( fun @ SV53 @ SV157 ) @ bool ) @ bool ) @ ( member @ ( fun @ SV53 @ SV157 ) ) @ SV255 ) @ ( hAPP @ ( fun @ SV53 @ ( fun @ SV157 @ bool ) ) @ ( fun @ ( fun @ SV53 @ SV157 ) @ bool ) @ ( hAPP @ ( fun @ SV53 @ bool ) @ ( fun @ ( fun @ SV53 @ ( fun @ SV157 @ bool ) ) @ ( fun @ ( fun @ SV53 @ SV157 ) @ bool ) ) @ ( pi @ SV53 @ SV157 ) @ SV308 ) @ ( hAPP @ ( fun @ SV157 @ bool ) @ ( fun @ SV53 @ ( fun @ SV157 @ bool ) ) @ ( combk @ ( fun @ SV157 @ bool ) @ SV53 ) @ SV349 ) ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1269]) ).
thf(1349,plain,
! [SV54: $i,SV158: $i,SV256: $i,SV214: $i,SV350: $i,SV309: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV309 )
= ( ti @ arrow_1212486748le_alt @ SV350 ) )
= $true )
| ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV214 )
!= ( ti @ arrow_1212486748le_alt @ SV256 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV158 ) @ arrow_1834574746e_Prof ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV54 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY1047: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ SY1047 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ SY1047 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ SY1047 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ SY1047 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1270]) ).
thf(1350,plain,
! [SV257: $i,SV159: $i,SV310: $i,SV215: $i,SV56: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ SV56 @ bool ) @ bool @ ( hAPP @ SV56 @ ( fun @ ( fun @ SV56 @ bool ) @ bool ) @ ( member @ SV56 ) @ SV215 ) @ SV310 ) )
= $false )
| ( ( ( hAPP @ SV159 @ SV56 @ ( hAPP @ ( fun @ SV56 @ SV159 ) @ ( fun @ SV159 @ SV56 ) @ ( hAPP @ ( fun @ SV56 @ bool ) @ ( fun @ ( fun @ SV56 @ SV159 ) @ ( fun @ SV159 @ SV56 ) ) @ ( hilbert_inv_into @ SV56 @ SV159 ) @ SV310 ) @ SV257 ) @ ( hAPP @ SV56 @ SV159 @ SV257 @ SV215 ) )
= ( ti @ SV56 @ SV215 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV56 @ bool ) @ bool @ ( hAPP @ ( fun @ SV56 @ SV159 ) @ ( fun @ ( fun @ SV56 @ bool ) @ bool ) @ ( inj_on @ SV56 @ SV159 ) @ SV257 ) @ SV310 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1271]) ).
thf(1351,plain,
! [SV311: $i,SV258: $i,SV351: $i,SV57: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV57 @ bool @ ( hAPP @ SV57 @ ( fun @ SV57 @ bool ) @ ( ord_less @ SV57 ) @ SV351 ) @ SV258 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV57 @ bool @ ( hAPP @ SV57 @ ( fun @ SV57 @ bool ) @ ( ord_less @ SV57 ) @ SV311 ) @ SV258 ) )
= $true )
| ( ( SV311 = SV351 )
= $false )
| ( ( ord @ SV57 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1272]) ).
thf(1352,plain,
! [SV260: $i,SV216: $i,SV59: $i,SV160: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV160 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV59 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY968: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ SY968 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ SY968 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ SY968 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ SY968 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) ) ) ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV216 )
= ( ti @ arrow_1212486748le_alt @ SV260 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1273]) ).
thf(1353,plain,
! [SV263: $i,SV217: $i,SV314: $i,SV161: $i,SV62: $i] :
( ( ( ( hAPP @ SV62 @ SV161 @ SV314 @ SV217 )
= ( ti @ SV161 @ SV263 ) )
= $false )
| ( ( ( hAPP @ SV161 @ SV62 @ ( hAPP @ ( fun @ SV62 @ SV161 ) @ ( fun @ SV161 @ SV62 ) @ ( hAPP @ ( fun @ SV62 @ bool ) @ ( fun @ ( fun @ SV62 @ SV161 ) @ ( fun @ SV161 @ SV62 ) ) @ ( hilbert_inv_into @ SV62 @ SV161 ) @ ( top_top @ ( fun @ SV62 @ bool ) ) ) @ SV314 ) @ SV263 )
= ( ti @ SV62 @ SV217 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV62 @ bool ) @ bool @ ( hAPP @ ( fun @ SV62 @ SV161 ) @ ( fun @ ( fun @ SV62 @ bool ) @ bool ) @ ( inj_on @ SV62 @ SV161 ) @ SV314 ) @ ( top_top @ ( fun @ SV62 @ bool ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1276]) ).
thf(1354,plain,
! [SV316: $i,SV264: $i,SV352: $i,SV64: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV64 @ bool @ ( hAPP @ SV64 @ ( fun @ SV64 @ bool ) @ ( ord_less @ SV64 ) @ SV352 ) @ SV264 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV64 @ bool @ ( hAPP @ SV64 @ ( fun @ SV64 @ bool ) @ ( ord_less @ SV64 ) @ SV316 ) @ SV264 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV64 @ bool @ ( hAPP @ SV64 @ ( fun @ SV64 @ bool ) @ ( ord_less @ SV64 ) @ SV316 ) @ SV352 ) )
= $false )
| ( ( preorder @ SV64 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1277]) ).
thf(1355,plain,
! [SV353: $i,SV265: $i,SV65: $i,SV317: $i,SV218: $i,SV163: $i] :
( ( ( ( ( ti @ SV163 @ SV218 )
!= ( ti @ SV163 @ SV317 ) )
| ( ( ti @ SV65 @ SV265 )
!= ( ti @ SV65 @ SV353 ) ) )
= $false )
| ( ( ( hAPP @ SV65 @ ( product_prod @ SV163 @ SV65 ) @ ( hAPP @ SV163 @ ( fun @ SV65 @ ( product_prod @ SV163 @ SV65 ) ) @ ( product_Pair @ SV163 @ SV65 ) @ SV218 ) @ SV265 )
= ( hAPP @ SV65 @ ( product_prod @ SV163 @ SV65 ) @ ( hAPP @ SV163 @ ( fun @ SV65 @ ( product_prod @ SV163 @ SV65 ) ) @ ( product_Pair @ SV163 @ SV65 ) @ SV317 ) @ SV353 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1278]) ).
thf(1356,plain,
! [SV318: $i,SV266: $i,SV67: $i] :
( ( ( ~ ( ( ( ti @ SV67 @ SV266 )
!= ( ti @ SV67 @ SV318 ) ) ) )
= $true )
| ( ( ( hBOOL @ ( hAPP @ SV67 @ bool @ ( hAPP @ SV67 @ ( fun @ SV67 @ bool ) @ ( ord_less @ SV67 ) @ SV266 ) @ SV318 ) )
| ( hBOOL @ ( hAPP @ SV67 @ bool @ ( hAPP @ SV67 @ ( fun @ SV67 @ bool ) @ ( ord_less @ SV67 ) @ SV318 ) @ SV266 ) ) )
= $true )
| ( ( linorder @ SV67 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1279]) ).
thf(1357,plain,
! [SV318: $i,SV266: $i,SV67: $i] :
( ( ( ~ ( ( hBOOL @ ( hAPP @ SV67 @ bool @ ( hAPP @ SV67 @ ( fun @ SV67 @ bool ) @ ( ord_less @ SV67 ) @ SV266 ) @ SV318 ) )
| ( hBOOL @ ( hAPP @ SV67 @ bool @ ( hAPP @ SV67 @ ( fun @ SV67 @ bool ) @ ( ord_less @ SV67 ) @ SV318 ) @ SV266 ) ) ) )
= $true )
| ( ( ( ti @ SV67 @ SV266 )
!= ( ti @ SV67 @ SV318 ) )
= $true )
| ( ( linorder @ SV67 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1280]) ).
thf(1358,plain,
! [SV354: $i,SV68: $i,SV267: $i,SV319: $i] :
( ( ( SV319 != SV267 )
= $true )
| ( ( hBOOL @ ( hAPP @ SV68 @ bool @ ( hAPP @ SV68 @ ( fun @ SV68 @ bool ) @ ( ord_less @ SV68 ) @ SV267 ) @ SV354 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV68 @ bool @ ( hAPP @ SV68 @ ( fun @ SV68 @ bool ) @ ( ord_less @ SV68 ) @ SV319 ) @ SV354 ) )
= $false )
| ( ( order @ SV68 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1281]) ).
thf(1359,plain,
! [SV320: $i,SV165: $i,SV219: $i,SV355: $i,SV268: $i,SV69: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV69 @ bool ) @ bool @ ( hAPP @ SV69 @ ( fun @ ( fun @ SV69 @ bool ) @ bool ) @ ( member @ SV69 ) @ SV268 ) @ SV355 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV69 @ bool ) @ bool @ ( hAPP @ SV69 @ ( fun @ ( fun @ SV69 @ bool ) @ bool ) @ ( member @ SV69 ) @ SV219 ) @ SV355 ) )
| ~ ( ~ ( ( ( hAPP @ SV69 @ SV165 @ SV320 @ SV268 )
!= ( hAPP @ SV69 @ SV165 @ SV320 @ SV219 ) )
| ( ( ti @ SV69 @ SV268 )
= ( ti @ SV69 @ SV219 ) ) )
| ~ ( ( ( ti @ SV69 @ SV268 )
!= ( ti @ SV69 @ SV219 ) )
| ( ( hAPP @ SV69 @ SV165 @ SV320 @ SV268 )
= ( hAPP @ SV69 @ SV165 @ SV320 @ SV219 ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV69 @ bool ) @ bool @ ( hAPP @ ( fun @ SV69 @ SV165 ) @ ( fun @ ( fun @ SV69 @ bool ) @ bool ) @ ( inj_on @ SV69 @ SV165 ) @ SV320 ) @ SV355 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1282]) ).
thf(1360,plain,
! [SV166: $i,SV70: $i,SV367: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV367 ) @ arrow_1834574746e_Prof ) ) )
= $true )
| ( ( ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV70 @ SV367 )
= ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV367 @ SV166 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ arrow_1384031255e_indi @ bool @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ bool ) @ arrow_1990387629ctator @ SV70 ) @ SV166 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1283]) ).
thf(1361,plain,
! [SV70: $i,SV166: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( sK8_SY783 @ SV166 @ SV70 ) ) @ arrow_1834574746e_Prof ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ arrow_1384031255e_indi @ bool @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ bool ) @ arrow_1990387629ctator @ SV70 ) @ SV166 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1284]) ).
thf(1362,plain,
! [SV166: $i,SV70: $i] :
( ( ( ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV70 @ ( sK8_SY783 @ SV166 @ SV70 ) )
= ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( sK8_SY783 @ SV166 @ SV70 ) @ SV166 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ arrow_1384031255e_indi @ bool @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ bool ) @ arrow_1990387629ctator @ SV70 ) @ SV166 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1284]) ).
thf(1363,plain,
! [SV321: $i,SV269: $i,SV71: $i] :
( ( ( ~ ~ ( hBOOL @ ( hAPP @ SV71 @ bool @ ( hAPP @ SV71 @ ( fun @ SV71 @ bool ) @ ( ord_less @ SV71 ) @ SV269 ) @ SV321 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV71 @ bool @ ( hAPP @ SV71 @ ( fun @ SV71 @ bool ) @ ( ord_less @ SV71 ) @ SV321 ) @ SV269 ) )
= $true )
| ( ( ( ti @ SV71 @ SV269 )
= ( ti @ SV71 @ SV321 ) )
= $true )
| ( ( linorder @ SV71 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1285]) ).
thf(1364,plain,
! [SV75: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1288]) ).
thf(1365,plain,
! [SV75: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
= $false )
| ( ( ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1289]) ).
thf(1366,plain,
! [SV221: $i,SV324: $i,SV168: $i,SV356: $i,SV273: $i,SV77: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV77 @ bool ) @ bool @ ( hAPP @ SV77 @ ( fun @ ( fun @ SV77 @ bool ) @ bool ) @ ( member @ SV77 ) @ SV273 ) @ SV356 ) ) )
= $true )
| ( ( ( ( hAPP @ SV77 @ SV168 @ SV324 @ SV273 )
!= ( ti @ SV168 @ SV221 ) )
| ( ( hAPP @ SV168 @ SV77 @ ( hAPP @ ( fun @ SV77 @ SV168 ) @ ( fun @ SV168 @ SV77 ) @ ( hAPP @ ( fun @ SV77 @ bool ) @ ( fun @ ( fun @ SV77 @ SV168 ) @ ( fun @ SV168 @ SV77 ) ) @ ( hilbert_inv_into @ SV77 @ SV168 ) @ SV356 ) @ SV324 ) @ SV221 )
= ( ti @ SV77 @ SV273 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV77 @ bool ) @ bool @ ( hAPP @ ( fun @ SV77 @ SV168 ) @ ( fun @ ( fun @ SV77 @ bool ) @ bool ) @ ( inj_on @ SV77 @ SV168 ) @ SV324 ) @ SV356 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1290]) ).
thf(1367,plain,
! [SV222: $i,SV169: $i,SV78: $i] :
( ( ( ( hAPP @ SV78 @ SV169 @ SV222 @ ( sK1_SY902 @ SV222 @ SV169 @ SV78 ) )
= ( hAPP @ SV78 @ SV169 @ SV222 @ ( sK5_SY1048 @ SV222 @ SV169 @ SV78 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV78 @ bool ) @ bool @ ( hAPP @ ( fun @ SV78 @ SV169 ) @ ( fun @ ( fun @ SV78 @ bool ) @ bool ) @ ( inj_on @ SV78 @ SV169 ) @ SV222 ) @ ( top_top @ ( fun @ SV78 @ bool ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1291]) ).
thf(1368,plain,
! [SV223: $i,SV274: $i,SV170: $i,SV79: $i] :
( ( ( ( hAPP @ SV79 @ SV170 @ SV274 @ ( hAPP @ SV170 @ SV79 @ SV223 @ ( sK11_SY986 @ SV223 @ SV274 @ SV170 @ SV79 ) ) )
= ( ti @ SV170 @ ( sK11_SY986 @ SV223 @ SV274 @ SV170 @ SV79 ) ) )
= $false )
| ( ( ( hAPP @ ( fun @ SV79 @ SV170 ) @ ( fun @ SV170 @ SV79 ) @ ( hAPP @ ( fun @ SV79 @ bool ) @ ( fun @ ( fun @ SV79 @ SV170 ) @ ( fun @ SV170 @ SV79 ) ) @ ( hilbert_inv_into @ SV79 @ SV170 ) @ ( top_top @ ( fun @ SV79 @ bool ) ) ) @ SV274 )
= ( ti @ ( fun @ SV170 @ SV79 ) @ SV223 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV79 @ bool ) @ bool @ ( hAPP @ ( fun @ SV79 @ SV170 ) @ ( fun @ ( fun @ SV79 @ bool ) @ bool ) @ ( inj_on @ SV79 @ SV170 ) @ SV274 ) @ ( top_top @ ( fun @ SV79 @ bool ) ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1293]) ).
thf(1369,plain,
! [SV325: $i,SV172: $i,SV357: $i,SV275: $i,SV225: $i,SV81: $i] :
( ( ( ~ ( ( ( ti @ SV81 @ SV225 )
!= ( ti @ SV81 @ SV275 ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV81 @ bool ) @ bool @ ( hAPP @ SV81 @ ( fun @ ( fun @ SV81 @ bool ) @ bool ) @ ( member @ SV81 ) @ SV225 ) @ SV357 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV81 @ bool ) @ bool @ ( hAPP @ SV81 @ ( fun @ ( fun @ SV81 @ bool ) @ bool ) @ ( member @ SV81 ) @ SV275 ) @ SV357 ) )
| ( ( hAPP @ SV81 @ SV172 @ SV325 @ SV225 )
!= ( hAPP @ SV81 @ SV172 @ SV325 @ SV275 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV81 @ bool ) @ bool @ ( hAPP @ ( fun @ SV81 @ SV172 ) @ ( fun @ ( fun @ SV81 @ bool ) @ bool ) @ ( inj_on @ SV81 @ SV172 ) @ SV325 ) @ SV357 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1295]) ).
thf(1370,plain,
! [SV276: $i,SV226: $i,SV173: $i,SV82: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ SV226 ) @ SV276 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV173 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV173 ) ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ SV226 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1296]) ).
thf(1371,plain,
! [SV226: $i,SV82: $i,SV276: $i,SV173: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV173 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV173 ) ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ SV226 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ SV226 ) @ SV276 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1297]) ).
thf(1372,plain,
! [SV84: $i,SV175: $i,SV277: $i,SV228: $i,SV358: $i,SV326: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV358 ) )
= $true )
| ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV228 )
!= ( ti @ arrow_1212486748le_alt @ SV277 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
!= ( ti @ arrow_1212486748le_alt @ SV277 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV358 )
!= ( ti @ arrow_1212486748le_alt @ SV228 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV175 ) @ arrow_1834574746e_Prof ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV84 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY1049: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ SY1049 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ SY1049 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ SY1049 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ SY1049 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1299]) ).
thf(1373,plain,
! [SV327: $i,SV85: $i,SV278: $i,SV359: $i] :
( ( ( SV359 != SV278 )
= $true )
| ( ( hBOOL @ ( hAPP @ SV85 @ bool @ ( hAPP @ SV85 @ ( fun @ SV85 @ bool ) @ ( ord_less @ SV85 ) @ SV327 ) @ SV278 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV85 @ bool @ ( hAPP @ SV85 @ ( fun @ SV85 @ bool ) @ ( ord_less @ SV85 ) @ SV327 ) @ SV359 ) )
= $false )
| ( ( ord @ SV85 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1300]) ).
thf(1374,plain,
! [SV328: $i,SV360: $i,SV279: $i,SV87: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV87 @ bool @ ( hAPP @ SV87 @ ( fun @ SV87 @ bool ) @ ( ord_less @ SV87 ) @ SV279 ) @ SV360 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV87 @ bool @ ( hAPP @ SV87 @ ( fun @ SV87 @ bool ) @ ( ord_less @ SV87 ) @ SV279 ) @ SV328 ) )
= $true )
| ( ( SV328 = SV360 )
= $false )
| ( ( order @ SV87 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1301]) ).
thf(1375,plain,
! [SV329: $i,SV280: $i,SV88: $i] :
( ( ( ~ ( ( ( ti @ SV88 @ SV280 )
!= ( ti @ SV88 @ SV329 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV88 @ bool @ ( hAPP @ SV88 @ ( fun @ SV88 @ bool ) @ ( ord_less @ SV88 ) @ SV329 ) @ SV280 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV88 @ bool @ ( hAPP @ SV88 @ ( fun @ SV88 @ bool ) @ ( ord_less @ SV88 ) @ SV280 ) @ SV329 ) )
= $true )
| ( ( linorder @ SV88 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1302]) ).
thf(1376,plain,
! [SV89: $i,SV366: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV366 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ! [SY1059: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SY1059 ) @ arrow_1834574746e_Prof ) )
| ! [SY1060: $i,SY1061: $i] :
( ~ ! [SY1062: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1060 ) @ SY1061 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV366 @ SY1062 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1060 ) @ SY1061 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY1059 @ SY1062 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1060 ) @ SY1061 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SY1059 @ SY1062 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1060 ) @ SY1061 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV366 @ SY1062 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1060 ) @ SY1061 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1060 ) @ SY1061 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SY1059 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1060 ) @ SY1061 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SY1059 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1060 ) @ SY1061 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1303]) ).
thf(1377,plain,
! [SV89: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( sK6_SY617 @ SV89 ) ) @ arrow_1834574746e_Prof ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1304]) ).
thf(1378,plain,
! [SV89: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( sK12_SY1063 @ SV89 ) ) @ arrow_1834574746e_Prof ) )
| ! [SY1070: $i,SY1071: $i] :
( ~ ! [SY1072: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1070 ) @ SY1071 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( sK6_SY617 @ SV89 ) @ SY1072 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1070 ) @ SY1071 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( sK12_SY1063 @ SV89 ) @ SY1072 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1070 ) @ SY1071 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( sK12_SY1063 @ SV89 ) @ SY1072 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1070 ) @ SY1071 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( sK6_SY617 @ SV89 ) @ SY1072 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1070 ) @ SY1071 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ ( sK6_SY617 @ SV89 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1070 ) @ SY1071 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ ( sK12_SY1063 @ SV89 ) ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1070 ) @ SY1071 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ ( sK12_SY1063 @ SV89 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1070 ) @ SY1071 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ ( sK6_SY617 @ SV89 ) ) ) ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1305]) ).
thf(1379,plain,
! [SV229: $i,SV177: $i,SV90: $i] :
( ( ( hBOOL @ ( hAPP @ ( product_prod @ SV90 @ SV177 ) @ bool @ SV229 @ ( sK13_SY914 @ SV229 @ SV177 @ SV90 ) ) )
= $false )
| ( ( ! [SY915: $i,SY916: $i] : ( hBOOL @ ( hAPP @ ( product_prod @ SV90 @ SV177 ) @ bool @ SV229 @ ( hAPP @ SV177 @ ( product_prod @ SV90 @ SV177 ) @ ( hAPP @ SV90 @ ( fun @ SV177 @ ( product_prod @ SV90 @ SV177 ) ) @ ( product_Pair @ SV90 @ SV177 ) @ SY915 ) @ SY916 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1306]) ).
thf(1380,plain,
! [SV229: $i,SV177: $i,SV90: $i] :
( ( ( ! [SY1073: $i] : ( hBOOL @ ( hAPP @ ( product_prod @ SV90 @ SV177 ) @ bool @ SV229 @ ( hAPP @ SV177 @ ( product_prod @ SV90 @ SV177 ) @ ( hAPP @ SV90 @ ( fun @ SV177 @ ( product_prod @ SV90 @ SV177 ) ) @ ( product_Pair @ SV90 @ SV177 ) @ ( sK14_SY917 @ SV229 @ SV177 @ SV90 ) ) @ SY1073 ) ) ) )
= $false )
| ( ( ! [SY919: $i] : ( hBOOL @ ( hAPP @ ( product_prod @ SV90 @ SV177 ) @ bool @ SV229 @ SY919 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1307]) ).
thf(1381,plain,
! [SV281: $i,SV230: $i,SV179: $i,SV93: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ ( fun @ SV93 @ SV179 ) @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( inj_on @ SV93 @ SV179 ) @ SV230 ) @ SV281 ) )
= $false )
| ( ( ! [SY997: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ SV93 @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( member @ SV93 ) @ SY997 ) @ SV281 ) )
| ! [SY998: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ SV93 @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( member @ SV93 ) @ SY998 ) @ SV281 ) )
| ( ( hAPP @ SV93 @ SV179 @ SV230 @ SY997 )
!= ( hAPP @ SV93 @ SV179 @ SV230 @ SY998 ) )
| ( ( ti @ SV93 @ SY997 )
= ( ti @ SV93 @ SY998 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1308]) ).
thf(1382,plain,
! [SV230: $i,SV179: $i,SV281: $i,SV93: $i] :
( ( ( ! [SY999: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ SV93 @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( member @ SV93 ) @ SY999 ) @ SV281 ) )
| ! [SY1000: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ SV93 @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( member @ SV93 ) @ SY1000 ) @ SV281 ) )
| ( ( hAPP @ SV93 @ SV179 @ SV230 @ SY999 )
!= ( hAPP @ SV93 @ SV179 @ SV230 @ SY1000 ) )
| ( ( ti @ SV93 @ SY999 )
= ( ti @ SV93 @ SY1000 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ ( fun @ SV93 @ SV179 ) @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( inj_on @ SV93 @ SV179 ) @ SV230 ) @ SV281 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1309]) ).
thf(1383,plain,
! [SV361: $i,SV330: $i,SV282: $i,SV94: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV94 @ bool @ ( hAPP @ SV94 @ ( fun @ SV94 @ bool ) @ ( ord_less @ SV94 ) @ SV282 ) @ SV330 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV94 @ bool @ ( hAPP @ SV94 @ ( fun @ SV94 @ bool ) @ ( ord_less @ SV94 ) @ SV282 ) @ SV361 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV94 @ bool @ ( hAPP @ SV94 @ ( fun @ SV94 @ bool ) @ ( ord_less @ SV94 ) @ SV330 ) @ SV361 ) )
= $false )
| ( ( order @ SV94 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1310]) ).
thf(1384,plain,
! [SV232: $i,SV181: $i,SV97: $i] :
( ( ( ~ ( ~ ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV97 ) @ SV181 ) ) @ SV232 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV181 ) @ SV97 ) ) @ SV232 ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV181 ) @ SV97 ) ) @ SV232 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV97 ) @ SV181 ) ) @ SV232 ) ) ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV97 )
= ( ti @ arrow_1212486748le_alt @ SV181 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV232 ) @ arrow_638930832le_Lin ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1311]) ).
thf(1385,plain,
! [SV284: $i,SV331: $i,SV98: $i] :
( ( ( ~ ( ~ ~ ( hBOOL @ ( hAPP @ SV98 @ bool @ ( hAPP @ SV98 @ ( fun @ SV98 @ bool ) @ ( ord_less @ SV98 ) @ SV331 ) @ SV284 ) )
| ( ( ti @ SV98 @ SV331 )
= ( ti @ SV98 @ SV284 ) ) )
| ~ ( ( ( ti @ SV98 @ SV331 )
!= ( ti @ SV98 @ SV284 ) )
| ~ ( hBOOL @ ( hAPP @ SV98 @ bool @ ( hAPP @ SV98 @ ( fun @ SV98 @ bool ) @ ( ord_less @ SV98 ) @ SV331 ) @ SV284 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV98 @ bool @ ( hAPP @ SV98 @ ( fun @ SV98 @ bool ) @ ( ord_less @ SV98 ) @ SV284 ) @ SV331 ) )
= $true )
| ( ( linorder @ SV98 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1312]) ).
thf(1386,plain,
! [SV100: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1315]) ).
thf(1387,plain,
! [SV100: $i] :
( ( ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1316]) ).
thf(1388,plain,
! [SV100: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1317]) ).
thf(1389,plain,
! [SV285: $i,SV234: $i,SV183: $i,SV101: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ SV234 ) @ SV285 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV101 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV101 )
!= ( ti @ arrow_1212486748le_alt @ SV183 ) ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ SV234 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1318]) ).
thf(1390,plain,
! [SV234: $i,SV183: $i,SV285: $i,SV101: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV101 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV101 )
!= ( ti @ arrow_1212486748le_alt @ SV183 ) ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ SV234 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ SV234 ) @ SV285 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1319]) ).
thf(1391,plain,
! [SV333: $i,SV287: $i,SV103: $i] :
( ( ( ~ ~ ( hBOOL @ ( hAPP @ SV103 @ bool @ ( hAPP @ SV103 @ ( fun @ SV103 @ bool ) @ ( ord_less @ SV103 ) @ SV287 ) @ SV333 ) ) )
= $true )
| ( ( ( hBOOL @ ( hAPP @ SV103 @ bool @ ( hAPP @ SV103 @ ( fun @ SV103 @ bool ) @ ( ord_less @ SV103 ) @ SV333 ) @ SV287 ) )
| ( ( ti @ SV103 @ SV287 )
= ( ti @ SV103 @ SV333 ) ) )
= $true )
| ( ( linorder @ SV103 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1321]) ).
thf(1392,plain,
! [SV287: $i,SV333: $i,SV103: $i] :
( ( ( ~ ( ( hBOOL @ ( hAPP @ SV103 @ bool @ ( hAPP @ SV103 @ ( fun @ SV103 @ bool ) @ ( ord_less @ SV103 ) @ SV333 ) @ SV287 ) )
| ( ( ti @ SV103 @ SV287 )
= ( ti @ SV103 @ SV333 ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV103 @ bool @ ( hAPP @ SV103 @ ( fun @ SV103 @ bool ) @ ( ord_less @ SV103 ) @ SV287 ) @ SV333 ) ) )
= $true )
| ( ( linorder @ SV103 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1322]) ).
thf(1393,plain,
! [SV104: $i,SV184: $i,SV288: $i,SV235: $i,SV362: $i,SV334: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
= ( ti @ arrow_1212486748le_alt @ SV362 ) )
= $true )
| ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV235 )
!= ( ti @ arrow_1212486748le_alt @ SV288 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
!= ( ti @ arrow_1212486748le_alt @ SV288 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV362 )
!= ( ti @ arrow_1212486748le_alt @ SV235 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV184 ) @ arrow_1834574746e_Prof ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV104 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY1050: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV184 @ SY1050 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV104 @ SY1050 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV104 @ SY1050 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV184 @ SY1050 ) ) ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV184 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV104 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1323]) ).
thf(1394,plain,
! [SV106: $i,SV185: $i,SV290: $i,SV236: $i,SV336: $i] :
( ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV336 )
!= ( ti @ arrow_1212486748le_alt @ SV236 ) ) ) )
= $true )
| ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
!= ( ti @ arrow_1212486748le_alt @ SV236 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV185 ) @ arrow_1834574746e_Prof ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV106 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY1044: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ SY1044 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ SY1044 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ SY1044 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ SY1044 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) ) ) ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV336 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1325]) ).
thf(1395,plain,
! [SV363: $i,SV292: $i,SV237: $i,SV338: $i,SV187: $i,SV109: $i] :
( ( ( ( hAPP @ SV109 @ SV187 @ SV338 @ SV237 )
!= ( hAPP @ SV109 @ SV187 @ SV338 @ SV292 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV109 @ bool ) @ bool @ ( hAPP @ SV109 @ ( fun @ ( fun @ SV109 @ bool ) @ bool ) @ ( member @ SV109 ) @ SV237 ) @ SV363 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV109 @ bool ) @ bool @ ( hAPP @ SV109 @ ( fun @ ( fun @ SV109 @ bool ) @ bool ) @ ( member @ SV109 ) @ SV292 ) @ SV363 ) )
| ( ( ti @ SV109 @ SV237 )
= ( ti @ SV109 @ SV292 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV109 @ bool ) @ bool @ ( hAPP @ ( fun @ SV109 @ SV187 ) @ ( fun @ ( fun @ SV109 @ bool ) @ bool ) @ ( inj_on @ SV109 @ SV187 ) @ SV338 ) @ SV363 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1326]) ).
thf(1396,plain,
! [SV294: $i,SV340: $i,SV364: $i,SV111: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV111 @ bool @ ( hAPP @ SV111 @ ( fun @ SV111 @ bool ) @ ( ord_less @ SV111 ) @ SV364 ) @ SV340 ) ) )
= $true )
| ( ( hBOOL @ SV294 )
= $true )
| ( ( hBOOL @ ( hAPP @ SV111 @ bool @ ( hAPP @ SV111 @ ( fun @ SV111 @ bool ) @ ( ord_less @ SV111 ) @ SV340 ) @ SV364 ) )
= $false )
| ( ( preorder @ SV111 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1328]) ).
thf(1397,plain,
! [SV295: $i,SV113: $i] :
( ( ( ( ti @ SV113 @ SV295 )
!= ( top_top @ SV113 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV113 @ bool @ ( hAPP @ SV113 @ ( fun @ SV113 @ bool ) @ ( ord_less @ SV113 ) @ SV295 ) @ ( top_top @ SV113 ) ) )
= $true )
| ( ( top @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1329]) ).
thf(1398,plain,
! [SV295: $i,SV113: $i] :
( ( ( hBOOL @ ( hAPP @ SV113 @ bool @ ( hAPP @ SV113 @ ( fun @ SV113 @ bool ) @ ( ord_less @ SV113 ) @ SV295 ) @ ( top_top @ SV113 ) ) )
= $false )
| ( ( ( ti @ SV113 @ SV295 )
!= ( top_top @ SV113 ) )
= $true )
| ( ( top @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1330]) ).
thf(1399,plain,
! [SV41: $i,SV146: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( sK2_SY725 @ SV146 @ SV41 ) ) @ arrow_638930832le_Lin ) ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV41 )
= ( ti @ arrow_1212486748le_alt @ SV146 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1333]) ).
thf(1400,plain,
! [SV146: $i,SV41: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV41 ) @ SV146 ) ) @ ( sK2_SY725 @ SV146 @ SV41 ) ) ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV41 )
= ( ti @ arrow_1212486748le_alt @ SV146 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1333]) ).
thf(1401,plain,
! [SV43: $i,SV365: $i,SV368: $i] :
( ( ( ! [SY1074: $i] :
( ~ ! [SY1075: $i] : ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV368 ) @ SY1074 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV365 @ SY1075 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV368 ) @ SY1074 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV43 @ SV365 ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV365 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_1932713123nimity @ SV43 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1334]) ).
thf(1402,plain,
! [SV43: $i] :
( ( ( ~ ! [SY1076: $i] : ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK9_SY1054 @ SV43 ) ) @ ( sK15_SY1067 @ SV43 ) ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( sK3_SY466 @ SV43 ) @ SY1076 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK9_SY1054 @ SV43 ) ) @ ( sK15_SY1067 @ SV43 ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV43 @ ( sK3_SY466 @ SV43 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_1932713123nimity @ SV43 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1336]) ).
thf(1403,plain,
! [SV303: $i,SV346: $i,SV207: $i,SV249: $i,SV46: $i,SV150: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV150 @ bool ) @ bool @ ( hAPP @ SV150 @ ( fun @ ( fun @ SV150 @ bool ) @ bool ) @ ( member @ SV150 ) @ ( hAPP @ SV46 @ SV150 @ SV249 @ SV207 ) ) @ ( hAPP @ SV46 @ ( fun @ SV150 @ bool ) @ SV346 @ SV207 ) ) ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV46 @ bool ) @ bool @ ( hAPP @ SV46 @ ( fun @ ( fun @ SV46 @ bool ) @ bool ) @ ( member @ SV46 ) @ SV207 ) @ SV303 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ SV46 @ SV150 ) @ bool ) @ bool @ ( hAPP @ ( fun @ SV46 @ SV150 ) @ ( fun @ ( fun @ ( fun @ SV46 @ SV150 ) @ bool ) @ bool ) @ ( member @ ( fun @ SV46 @ SV150 ) ) @ SV249 ) @ ( hAPP @ ( fun @ SV46 @ ( fun @ SV150 @ bool ) ) @ ( fun @ ( fun @ SV46 @ SV150 ) @ bool ) @ ( hAPP @ ( fun @ SV46 @ bool ) @ ( fun @ ( fun @ SV46 @ ( fun @ SV150 @ bool ) ) @ ( fun @ ( fun @ SV46 @ SV150 ) @ bool ) ) @ ( pi @ SV46 @ SV150 ) @ SV303 ) @ SV346 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1337]) ).
thf(1404,plain,
! [SV347: $i,SV250: $i,SV151: $i,SV304: $i,SV208: $i,SV47: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ SV47 @ bool ) @ bool @ ( hAPP @ SV47 @ ( fun @ ( fun @ SV47 @ bool ) @ bool ) @ ( member @ SV47 ) @ SV208 ) @ SV304 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV151 @ bool ) @ bool @ ( hAPP @ SV151 @ ( fun @ ( fun @ SV151 @ bool ) @ bool ) @ ( member @ SV151 ) @ ( hAPP @ SV47 @ SV151 @ SV250 @ SV208 ) ) @ ( hAPP @ SV47 @ ( fun @ SV151 @ bool ) @ SV347 @ SV208 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ SV47 @ SV151 ) @ bool ) @ bool @ ( hAPP @ ( fun @ SV47 @ SV151 ) @ ( fun @ ( fun @ ( fun @ SV47 @ SV151 ) @ bool ) @ bool ) @ ( member @ ( fun @ SV47 @ SV151 ) ) @ SV250 ) @ ( hAPP @ ( fun @ SV47 @ ( fun @ SV151 @ bool ) ) @ ( fun @ ( fun @ SV47 @ SV151 ) @ bool ) @ ( hAPP @ ( fun @ SV47 @ bool ) @ ( fun @ ( fun @ SV47 @ ( fun @ SV151 @ bool ) ) @ ( fun @ ( fun @ SV47 @ SV151 ) @ bool ) ) @ ( pi @ SV47 @ SV151 ) @ SV304 ) @ SV347 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1338]) ).
thf(1405,plain,
! [SV348: $i,SV305: $i,SV251: $i,SV209: $i,SV152: $i,SV48: $i] :
( ( ( ( hAPP @ SV48 @ ( product_prod @ SV152 @ SV48 ) @ ( hAPP @ SV152 @ ( fun @ SV48 @ ( product_prod @ SV152 @ SV48 ) ) @ ( product_Pair @ SV152 @ SV48 ) @ SV209 ) @ SV251 )
!= ( hAPP @ SV48 @ ( product_prod @ SV152 @ SV48 ) @ ( hAPP @ SV152 @ ( fun @ SV48 @ ( product_prod @ SV152 @ SV48 ) ) @ ( product_Pair @ SV152 @ SV48 ) @ SV305 ) @ SV348 ) )
= $true )
| ( ( ~ ( ( ( ti @ SV152 @ SV209 )
!= ( ti @ SV152 @ SV305 ) )
| ( ( ti @ SV48 @ SV251 )
!= ( ti @ SV48 @ SV348 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1339]) ).
thf(1406,plain,
! [SV348: $i,SV251: $i,SV48: $i,SV305: $i,SV209: $i,SV152: $i] :
( ( ( ~ ~ ( ( ( ti @ SV152 @ SV209 )
!= ( ti @ SV152 @ SV305 ) )
| ( ( ti @ SV48 @ SV251 )
!= ( ti @ SV48 @ SV348 ) ) ) )
= $true )
| ( ( ( hAPP @ SV48 @ ( product_prod @ SV152 @ SV48 ) @ ( hAPP @ SV152 @ ( fun @ SV48 @ ( product_prod @ SV152 @ SV48 ) ) @ ( product_Pair @ SV152 @ SV48 ) @ SV209 ) @ SV251 )
= ( hAPP @ SV48 @ ( product_prod @ SV152 @ SV48 ) @ ( hAPP @ SV152 @ ( fun @ SV48 @ ( product_prod @ SV152 @ SV48 ) ) @ ( product_Pair @ SV152 @ SV48 ) @ SV305 ) @ SV348 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1340]) ).
thf(1407,plain,
! [SV153: $i,SV49: $i] :
( ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ ( sK10_SY1057 @ SV49 @ SV153 ) )
!= ( ti @ arrow_1212486748le_alt @ ( sK16_SY1069 @ SV153 @ SV49 ) ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK10_SY1057 @ SV49 @ SV153 ) ) @ ( sK16_SY1069 @ SV153 @ SV49 ) ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( sK4_SY740 @ SV153 @ SV49 ) @ SV49 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK10_SY1057 @ SV49 @ SV153 ) ) @ ( sK16_SY1069 @ SV153 @ SV49 ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV153 @ ( sK4_SY740 @ SV153 @ SV49 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ arrow_1384031255e_indi @ bool @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ bool ) @ arrow_1990387629ctator @ SV153 ) @ SV49 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV153 ) @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) ) @ ( pi @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1834574746e_Prof ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( combk @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_638930832le_Lin ) ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1342]) ).
thf(1408,plain,
! [SV252: $i,SV210: $i,SV154: $i,SV50: $i] :
( ( ( ! [SY1077: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ ( sK17_SY954 @ SV210 @ SV252 @ SV154 @ SV50 ) ) @ SY1077 ) ) @ SV252 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ ( sK17_SY954 @ SV210 @ SV252 @ SV154 @ SV50 ) ) @ SY1077 ) ) @ SV210 ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ ( sK17_SY954 @ SV210 @ SV252 @ SV154 @ SV50 ) ) @ SY1077 ) ) @ SV210 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ ( sK17_SY954 @ SV210 @ SV252 @ SV154 @ SV50 ) ) @ SY1077 ) ) @ SV252 ) ) ) ) )
= $false )
| ( ( ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV252 )
= ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV210 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1343]) ).
thf(1409,plain,
! [SV210: $i,SV252: $i,SV369: $i,SV154: $i,SV50: $i] :
( ( ( ! [SY1078: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SV369 ) @ SY1078 ) ) @ SV252 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SV369 ) @ SY1078 ) ) @ SV210 ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SV369 ) @ SY1078 ) ) @ SV210 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SV369 ) @ SY1078 ) ) @ SV252 ) ) ) ) )
= $true )
| ( ( ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV252 )
= ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV210 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1344]) ).
thf(1410,plain,
! [SV306: $i,SV253: $i,SV155: $i,SV51: $i,SV211: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
| ~ ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV155 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV253 ) @ SV155 ) ) @ SV211 ) ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV253 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV253 ) ) @ SV211 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) ) ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV155 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV253 ) @ SV155 ) ) @ SV211 ) ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV253 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV253 ) ) @ SV211 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) ) ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) ) ) ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1345]) ).
thf(1411,plain,
! [SV254: $i,SV212: $i,SV307: $i,SV156: $i,SV52: $i] :
( ( ( ( ( hAPP @ SV52 @ SV156 @ SV307 @ SV212 )
!= ( hAPP @ SV52 @ SV156 @ SV307 @ SV254 ) )
| ( ( ti @ SV52 @ SV212 )
= ( ti @ SV52 @ SV254 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV52 @ bool ) @ bool @ ( hAPP @ ( fun @ SV52 @ SV156 ) @ ( fun @ ( fun @ SV52 @ bool ) @ bool ) @ ( inj_on @ SV52 @ SV156 ) @ SV307 ) @ ( top_top @ ( fun @ SV52 @ bool ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1346]) ).
thf(1412,plain,
! [SV307: $i,SV156: $i,SV254: $i,SV212: $i,SV52: $i] :
( ( ( ( ( ti @ SV52 @ SV212 )
!= ( ti @ SV52 @ SV254 ) )
| ( ( hAPP @ SV52 @ SV156 @ SV307 @ SV212 )
= ( hAPP @ SV52 @ SV156 @ SV307 @ SV254 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV52 @ bool ) @ bool @ ( hAPP @ ( fun @ SV52 @ SV156 ) @ ( fun @ ( fun @ SV52 @ bool ) @ bool ) @ ( inj_on @ SV52 @ SV156 ) @ SV307 ) @ ( top_top @ ( fun @ SV52 @ bool ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1347]) ).
thf(1413,plain,
! [SV349: $i,SV255: $i,SV157: $i,SV308: $i,SV213: $i,SV53: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ SV53 @ bool ) @ bool @ ( hAPP @ SV53 @ ( fun @ ( fun @ SV53 @ bool ) @ bool ) @ ( member @ SV53 ) @ SV213 ) @ SV308 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV157 @ bool ) @ bool @ ( hAPP @ SV157 @ ( fun @ ( fun @ SV157 @ bool ) @ bool ) @ ( member @ SV157 ) @ ( hAPP @ SV53 @ SV157 @ SV255 @ SV213 ) ) @ SV349 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ SV53 @ SV157 ) @ bool ) @ bool @ ( hAPP @ ( fun @ SV53 @ SV157 ) @ ( fun @ ( fun @ ( fun @ SV53 @ SV157 ) @ bool ) @ bool ) @ ( member @ ( fun @ SV53 @ SV157 ) ) @ SV255 ) @ ( hAPP @ ( fun @ SV53 @ ( fun @ SV157 @ bool ) ) @ ( fun @ ( fun @ SV53 @ SV157 ) @ bool ) @ ( hAPP @ ( fun @ SV53 @ bool ) @ ( fun @ ( fun @ SV53 @ ( fun @ SV157 @ bool ) ) @ ( fun @ ( fun @ SV53 @ SV157 ) @ bool ) ) @ ( pi @ SV53 @ SV157 ) @ SV308 ) @ ( hAPP @ ( fun @ SV157 @ bool ) @ ( fun @ SV53 @ ( fun @ SV157 @ bool ) ) @ ( combk @ ( fun @ SV157 @ bool ) @ SV53 ) @ SV349 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1348]) ).
thf(1414,plain,
! [SV350: $i,SV309: $i,SV54: $i,SV158: $i,SV256: $i,SV214: $i] :
( ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV214 )
!= ( ti @ arrow_1212486748le_alt @ SV256 ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV158 ) @ arrow_1834574746e_Prof ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV54 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY1047: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ SY1047 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ SY1047 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ SY1047 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ SY1047 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) ) ) ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV309 )
= ( ti @ arrow_1212486748le_alt @ SV350 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1349]) ).
thf(1415,plain,
! [SV311: $i,SV258: $i,SV351: $i,SV57: $i] :
( ( ( hBOOL @ ( hAPP @ SV57 @ bool @ ( hAPP @ SV57 @ ( fun @ SV57 @ bool ) @ ( ord_less @ SV57 ) @ SV351 ) @ SV258 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV57 @ bool @ ( hAPP @ SV57 @ ( fun @ SV57 @ bool ) @ ( ord_less @ SV57 ) @ SV311 ) @ SV258 ) )
= $true )
| ( ( SV311 = SV351 )
= $false )
| ( ( ord @ SV57 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1351]) ).
thf(1416,plain,
! [SV160: $i,SV260: $i,SV216: $i,SV59: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV59 ) @ arrow_1834574746e_Prof ) ) )
= $true )
| ( ( ~ ! [SY968: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ SY968 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ SY968 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ SY968 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ SY968 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV160 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV216 )
= ( ti @ arrow_1212486748le_alt @ SV260 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1352]) ).
thf(1417,plain,
! [SV316: $i,SV264: $i,SV352: $i,SV64: $i] :
( ( ( hBOOL @ ( hAPP @ SV64 @ bool @ ( hAPP @ SV64 @ ( fun @ SV64 @ bool ) @ ( ord_less @ SV64 ) @ SV352 ) @ SV264 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV64 @ bool @ ( hAPP @ SV64 @ ( fun @ SV64 @ bool ) @ ( ord_less @ SV64 ) @ SV316 ) @ SV264 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV64 @ bool @ ( hAPP @ SV64 @ ( fun @ SV64 @ bool ) @ ( ord_less @ SV64 ) @ SV316 ) @ SV352 ) )
= $false )
| ( ( preorder @ SV64 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1354]) ).
thf(1418,plain,
! [SV353: $i,SV265: $i,SV65: $i,SV317: $i,SV218: $i,SV163: $i] :
( ( ( ( ti @ SV163 @ SV218 )
!= ( ti @ SV163 @ SV317 ) )
= $false )
| ( ( ( hAPP @ SV65 @ ( product_prod @ SV163 @ SV65 ) @ ( hAPP @ SV163 @ ( fun @ SV65 @ ( product_prod @ SV163 @ SV65 ) ) @ ( product_Pair @ SV163 @ SV65 ) @ SV218 ) @ SV265 )
= ( hAPP @ SV65 @ ( product_prod @ SV163 @ SV65 ) @ ( hAPP @ SV163 @ ( fun @ SV65 @ ( product_prod @ SV163 @ SV65 ) ) @ ( product_Pair @ SV163 @ SV65 ) @ SV317 ) @ SV353 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1355]) ).
thf(1419,plain,
! [SV317: $i,SV218: $i,SV163: $i,SV353: $i,SV265: $i,SV65: $i] :
( ( ( ( ti @ SV65 @ SV265 )
!= ( ti @ SV65 @ SV353 ) )
= $false )
| ( ( ( hAPP @ SV65 @ ( product_prod @ SV163 @ SV65 ) @ ( hAPP @ SV163 @ ( fun @ SV65 @ ( product_prod @ SV163 @ SV65 ) ) @ ( product_Pair @ SV163 @ SV65 ) @ SV218 ) @ SV265 )
= ( hAPP @ SV65 @ ( product_prod @ SV163 @ SV65 ) @ ( hAPP @ SV163 @ ( fun @ SV65 @ ( product_prod @ SV163 @ SV65 ) ) @ ( product_Pair @ SV163 @ SV65 ) @ SV317 ) @ SV353 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1355]) ).
thf(1420,plain,
! [SV318: $i,SV266: $i,SV67: $i] :
( ( ( ( ti @ SV67 @ SV266 )
!= ( ti @ SV67 @ SV318 ) )
= $false )
| ( ( ( hBOOL @ ( hAPP @ SV67 @ bool @ ( hAPP @ SV67 @ ( fun @ SV67 @ bool ) @ ( ord_less @ SV67 ) @ SV266 ) @ SV318 ) )
| ( hBOOL @ ( hAPP @ SV67 @ bool @ ( hAPP @ SV67 @ ( fun @ SV67 @ bool ) @ ( ord_less @ SV67 ) @ SV318 ) @ SV266 ) ) )
= $true )
| ( ( linorder @ SV67 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1356]) ).
thf(1421,plain,
! [SV318: $i,SV266: $i,SV67: $i] :
( ( ( ( hBOOL @ ( hAPP @ SV67 @ bool @ ( hAPP @ SV67 @ ( fun @ SV67 @ bool ) @ ( ord_less @ SV67 ) @ SV266 ) @ SV318 ) )
| ( hBOOL @ ( hAPP @ SV67 @ bool @ ( hAPP @ SV67 @ ( fun @ SV67 @ bool ) @ ( ord_less @ SV67 ) @ SV318 ) @ SV266 ) ) )
= $false )
| ( ( ( ti @ SV67 @ SV266 )
!= ( ti @ SV67 @ SV318 ) )
= $true )
| ( ( linorder @ SV67 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1357]) ).
thf(1422,plain,
! [SV354: $i,SV68: $i,SV267: $i,SV319: $i] :
( ( ( SV319 = SV267 )
= $false )
| ( ( hBOOL @ ( hAPP @ SV68 @ bool @ ( hAPP @ SV68 @ ( fun @ SV68 @ bool ) @ ( ord_less @ SV68 ) @ SV267 ) @ SV354 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV68 @ bool @ ( hAPP @ SV68 @ ( fun @ SV68 @ bool ) @ ( ord_less @ SV68 ) @ SV319 ) @ SV354 ) )
= $false )
| ( ( order @ SV68 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1358]) ).
thf(1423,plain,
! [SV320: $i,SV165: $i,SV219: $i,SV355: $i,SV268: $i,SV69: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ SV69 @ bool ) @ bool @ ( hAPP @ SV69 @ ( fun @ ( fun @ SV69 @ bool ) @ bool ) @ ( member @ SV69 ) @ SV268 ) @ SV355 ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV69 @ bool ) @ bool @ ( hAPP @ SV69 @ ( fun @ ( fun @ SV69 @ bool ) @ bool ) @ ( member @ SV69 ) @ SV219 ) @ SV355 ) )
| ~ ( ~ ( ( ( hAPP @ SV69 @ SV165 @ SV320 @ SV268 )
!= ( hAPP @ SV69 @ SV165 @ SV320 @ SV219 ) )
| ( ( ti @ SV69 @ SV268 )
= ( ti @ SV69 @ SV219 ) ) )
| ~ ( ( ( ti @ SV69 @ SV268 )
!= ( ti @ SV69 @ SV219 ) )
| ( ( hAPP @ SV69 @ SV165 @ SV320 @ SV268 )
= ( hAPP @ SV69 @ SV165 @ SV320 @ SV219 ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV69 @ bool ) @ bool @ ( hAPP @ ( fun @ SV69 @ SV165 ) @ ( fun @ ( fun @ SV69 @ bool ) @ bool ) @ ( inj_on @ SV69 @ SV165 ) @ SV320 ) @ SV355 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1359]) ).
thf(1424,plain,
! [SV166: $i,SV70: $i,SV367: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV367 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV70 @ SV367 )
= ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV367 @ SV166 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ arrow_1384031255e_indi @ bool @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ bool ) @ arrow_1990387629ctator @ SV70 ) @ SV166 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1360]) ).
thf(1425,plain,
! [SV70: $i,SV166: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( sK8_SY783 @ SV166 @ SV70 ) ) @ arrow_1834574746e_Prof ) )
= $true )
| ( ( hBOOL @ ( hAPP @ arrow_1384031255e_indi @ bool @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ bool ) @ arrow_1990387629ctator @ SV70 ) @ SV166 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1361]) ).
thf(1426,plain,
! [SV321: $i,SV269: $i,SV71: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV71 @ bool @ ( hAPP @ SV71 @ ( fun @ SV71 @ bool ) @ ( ord_less @ SV71 ) @ SV269 ) @ SV321 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV71 @ bool @ ( hAPP @ SV71 @ ( fun @ SV71 @ bool ) @ ( ord_less @ SV71 ) @ SV321 ) @ SV269 ) )
= $true )
| ( ( ( ti @ SV71 @ SV269 )
= ( ti @ SV71 @ SV321 ) )
= $true )
| ( ( linorder @ SV71 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1363]) ).
thf(1427,plain,
! [SV75: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) ) )
= $false )
| ( ( ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1364]) ).
thf(1428,plain,
! [SV75: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false )
| ( ( ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1364]) ).
thf(1429,plain,
! [SV75: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) ) )
= $false )
| ( ( ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1365]) ).
thf(1430,plain,
! [SV75: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) )
= $false )
| ( ( ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1365]) ).
thf(1431,plain,
! [SV221: $i,SV324: $i,SV168: $i,SV356: $i,SV273: $i,SV77: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ SV77 @ bool ) @ bool @ ( hAPP @ SV77 @ ( fun @ ( fun @ SV77 @ bool ) @ bool ) @ ( member @ SV77 ) @ SV273 ) @ SV356 ) )
= $false )
| ( ( ( ( hAPP @ SV77 @ SV168 @ SV324 @ SV273 )
!= ( ti @ SV168 @ SV221 ) )
| ( ( hAPP @ SV168 @ SV77 @ ( hAPP @ ( fun @ SV77 @ SV168 ) @ ( fun @ SV168 @ SV77 ) @ ( hAPP @ ( fun @ SV77 @ bool ) @ ( fun @ ( fun @ SV77 @ SV168 ) @ ( fun @ SV168 @ SV77 ) ) @ ( hilbert_inv_into @ SV77 @ SV168 ) @ SV356 ) @ SV324 ) @ SV221 )
= ( ti @ SV77 @ SV273 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV77 @ bool ) @ bool @ ( hAPP @ ( fun @ SV77 @ SV168 ) @ ( fun @ ( fun @ SV77 @ bool ) @ bool ) @ ( inj_on @ SV77 @ SV168 ) @ SV324 ) @ SV356 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1366]) ).
thf(1432,plain,
! [SV325: $i,SV172: $i,SV357: $i,SV275: $i,SV225: $i,SV81: $i] :
( ( ( ( ti @ SV81 @ SV225 )
!= ( ti @ SV81 @ SV275 ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV81 @ bool ) @ bool @ ( hAPP @ SV81 @ ( fun @ ( fun @ SV81 @ bool ) @ bool ) @ ( member @ SV81 ) @ SV225 ) @ SV357 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV81 @ bool ) @ bool @ ( hAPP @ SV81 @ ( fun @ ( fun @ SV81 @ bool ) @ bool ) @ ( member @ SV81 ) @ SV275 ) @ SV357 ) )
| ( ( hAPP @ SV81 @ SV172 @ SV325 @ SV225 )
!= ( hAPP @ SV81 @ SV172 @ SV325 @ SV275 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV81 @ bool ) @ bool @ ( hAPP @ ( fun @ SV81 @ SV172 ) @ ( fun @ ( fun @ SV81 @ bool ) @ bool ) @ ( inj_on @ SV81 @ SV172 ) @ SV325 ) @ SV357 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1369]) ).
thf(1433,plain,
! [SV226: $i,SV82: $i,SV276: $i,SV173: $i] :
( ( ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV173 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV173 ) ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ SV226 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ SV226 ) @ SV276 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1370]) ).
thf(1434,plain,
! [SV226: $i,SV82: $i,SV276: $i,SV173: $i] :
( ( ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV173 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV173 ) ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ SV226 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ SV226 ) @ SV276 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1371]) ).
thf(1435,plain,
! [SV84: $i,SV175: $i,SV358: $i,SV326: $i,SV277: $i,SV228: $i] :
( ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV228 )
!= ( ti @ arrow_1212486748le_alt @ SV277 ) ) ) )
= $true )
| ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
!= ( ti @ arrow_1212486748le_alt @ SV277 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV358 )
!= ( ti @ arrow_1212486748le_alt @ SV228 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV175 ) @ arrow_1834574746e_Prof ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV84 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY1049: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ SY1049 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ SY1049 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ SY1049 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ SY1049 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) ) ) ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV358 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1372]) ).
thf(1436,plain,
! [SV327: $i,SV85: $i,SV278: $i,SV359: $i] :
( ( ( SV359 = SV278 )
= $false )
| ( ( hBOOL @ ( hAPP @ SV85 @ bool @ ( hAPP @ SV85 @ ( fun @ SV85 @ bool ) @ ( ord_less @ SV85 ) @ SV327 ) @ SV278 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV85 @ bool @ ( hAPP @ SV85 @ ( fun @ SV85 @ bool ) @ ( ord_less @ SV85 ) @ SV327 ) @ SV359 ) )
= $false )
| ( ( ord @ SV85 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1373]) ).
thf(1437,plain,
! [SV328: $i,SV360: $i,SV279: $i,SV87: $i] :
( ( ( hBOOL @ ( hAPP @ SV87 @ bool @ ( hAPP @ SV87 @ ( fun @ SV87 @ bool ) @ ( ord_less @ SV87 ) @ SV279 ) @ SV360 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV87 @ bool @ ( hAPP @ SV87 @ ( fun @ SV87 @ bool ) @ ( ord_less @ SV87 ) @ SV279 ) @ SV328 ) )
= $true )
| ( ( SV328 = SV360 )
= $false )
| ( ( order @ SV87 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1374]) ).
thf(1438,plain,
! [SV329: $i,SV280: $i,SV88: $i] :
( ( ( ( ti @ SV88 @ SV280 )
!= ( ti @ SV88 @ SV329 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV88 @ bool @ ( hAPP @ SV88 @ ( fun @ SV88 @ bool ) @ ( ord_less @ SV88 ) @ SV329 ) @ SV280 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV88 @ bool @ ( hAPP @ SV88 @ ( fun @ SV88 @ bool ) @ ( ord_less @ SV88 ) @ SV280 ) @ SV329 ) )
= $true )
| ( ( linorder @ SV88 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1375]) ).
thf(1439,plain,
! [SV89: $i,SV366: $i,SV370: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV370 ) @ arrow_1834574746e_Prof ) )
| ! [SY1079: $i,SY1080: $i] :
( ~ ! [SY1081: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1079 ) @ SY1080 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV366 @ SY1081 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1079 ) @ SY1080 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV370 @ SY1081 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1079 ) @ SY1080 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV370 @ SY1081 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1079 ) @ SY1080 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV366 @ SY1081 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1079 ) @ SY1080 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1079 ) @ SY1080 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1079 ) @ SY1080 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1079 ) @ SY1080 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV366 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1376]) ).
thf(1440,plain,
! [SV89: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( sK12_SY1063 @ SV89 ) ) @ arrow_1834574746e_Prof ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1378]) ).
thf(1441,plain,
! [SV89: $i] :
( ( ( ! [SY1070: $i,SY1071: $i] :
( ~ ! [SY1072: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1070 ) @ SY1071 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( sK6_SY617 @ SV89 ) @ SY1072 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1070 ) @ SY1071 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( sK12_SY1063 @ SV89 ) @ SY1072 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1070 ) @ SY1071 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( sK12_SY1063 @ SV89 ) @ SY1072 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1070 ) @ SY1071 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( sK6_SY617 @ SV89 ) @ SY1072 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1070 ) @ SY1071 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ ( sK6_SY617 @ SV89 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1070 ) @ SY1071 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ ( sK12_SY1063 @ SV89 ) ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1070 ) @ SY1071 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ ( sK12_SY1063 @ SV89 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1070 ) @ SY1071 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ ( sK6_SY617 @ SV89 ) ) ) ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1378]) ).
thf(1442,plain,
! [SV371: $i,SV229: $i,SV177: $i,SV90: $i] :
( ( ( ! [SY1082: $i] : ( hBOOL @ ( hAPP @ ( product_prod @ SV90 @ SV177 ) @ bool @ SV229 @ ( hAPP @ SV177 @ ( product_prod @ SV90 @ SV177 ) @ ( hAPP @ SV90 @ ( fun @ SV177 @ ( product_prod @ SV90 @ SV177 ) ) @ ( product_Pair @ SV90 @ SV177 ) @ SV371 ) @ SY1082 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( product_prod @ SV90 @ SV177 ) @ bool @ SV229 @ ( sK13_SY914 @ SV229 @ SV177 @ SV90 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1379]) ).
thf(1443,plain,
! [SV229: $i,SV177: $i,SV90: $i] :
( ( ( hBOOL @ ( hAPP @ ( product_prod @ SV90 @ SV177 ) @ bool @ SV229 @ ( hAPP @ SV177 @ ( product_prod @ SV90 @ SV177 ) @ ( hAPP @ SV90 @ ( fun @ SV177 @ ( product_prod @ SV90 @ SV177 ) ) @ ( product_Pair @ SV90 @ SV177 ) @ ( sK14_SY917 @ SV229 @ SV177 @ SV90 ) ) @ ( sK18_SY1073 @ SV229 @ SV177 @ SV90 ) ) ) )
= $false )
| ( ( ! [SY919: $i] : ( hBOOL @ ( hAPP @ ( product_prod @ SV90 @ SV177 ) @ bool @ SV229 @ SY919 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1380]) ).
thf(1444,plain,
! [SV230: $i,SV179: $i,SV281: $i,SV372: $i,SV93: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ SV93 @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( member @ SV93 ) @ SV372 ) @ SV281 ) )
| ! [SY1083: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ SV93 @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( member @ SV93 ) @ SY1083 ) @ SV281 ) )
| ( ( hAPP @ SV93 @ SV179 @ SV230 @ SV372 )
!= ( hAPP @ SV93 @ SV179 @ SV230 @ SY1083 ) )
| ( ( ti @ SV93 @ SV372 )
= ( ti @ SV93 @ SY1083 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ ( fun @ SV93 @ SV179 ) @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( inj_on @ SV93 @ SV179 ) @ SV230 ) @ SV281 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1381]) ).
thf(1445,plain,
! [SV281: $i,SV179: $i,SV230: $i,SV93: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ SV93 @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( member @ SV93 ) @ ( sK19_SY999 @ SV230 @ SV179 @ SV281 @ SV93 ) ) @ SV281 ) )
| ! [SY1084: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ SV93 @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( member @ SV93 ) @ SY1084 ) @ SV281 ) )
| ( ( hAPP @ SV93 @ SV179 @ SV230 @ ( sK19_SY999 @ SV230 @ SV179 @ SV281 @ SV93 ) )
!= ( hAPP @ SV93 @ SV179 @ SV230 @ SY1084 ) )
| ( ( ti @ SV93 @ ( sK19_SY999 @ SV230 @ SV179 @ SV281 @ SV93 ) )
= ( ti @ SV93 @ SY1084 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ ( fun @ SV93 @ SV179 ) @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( inj_on @ SV93 @ SV179 ) @ SV230 ) @ SV281 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1382]) ).
thf(1446,plain,
! [SV361: $i,SV330: $i,SV282: $i,SV94: $i] :
( ( ( hBOOL @ ( hAPP @ SV94 @ bool @ ( hAPP @ SV94 @ ( fun @ SV94 @ bool ) @ ( ord_less @ SV94 ) @ SV282 ) @ SV330 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV94 @ bool @ ( hAPP @ SV94 @ ( fun @ SV94 @ bool ) @ ( ord_less @ SV94 ) @ SV282 ) @ SV361 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV94 @ bool @ ( hAPP @ SV94 @ ( fun @ SV94 @ bool ) @ ( ord_less @ SV94 ) @ SV330 ) @ SV361 ) )
= $false )
| ( ( order @ SV94 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1383]) ).
thf(1447,plain,
! [SV232: $i,SV181: $i,SV97: $i] :
( ( ( ~ ( ~ ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV97 ) @ SV181 ) ) @ SV232 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV181 ) @ SV97 ) ) @ SV232 ) ) ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV97 )
= ( ti @ arrow_1212486748le_alt @ SV181 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV232 ) @ arrow_638930832le_Lin ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1384]) ).
thf(1448,plain,
! [SV232: $i,SV97: $i,SV181: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV181 ) @ SV97 ) ) @ SV232 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV97 ) @ SV181 ) ) @ SV232 ) ) ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV97 )
= ( ti @ arrow_1212486748le_alt @ SV181 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV232 ) @ arrow_638930832le_Lin ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1384]) ).
thf(1449,plain,
! [SV284: $i,SV331: $i,SV98: $i] :
( ( ( ~ ( ~ ~ ( hBOOL @ ( hAPP @ SV98 @ bool @ ( hAPP @ SV98 @ ( fun @ SV98 @ bool ) @ ( ord_less @ SV98 ) @ SV331 ) @ SV284 ) )
| ( ( ti @ SV98 @ SV331 )
= ( ti @ SV98 @ SV284 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV98 @ bool @ ( hAPP @ SV98 @ ( fun @ SV98 @ bool ) @ ( ord_less @ SV98 ) @ SV284 ) @ SV331 ) )
= $true )
| ( ( linorder @ SV98 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1385]) ).
thf(1450,plain,
! [SV284: $i,SV331: $i,SV98: $i] :
( ( ( ~ ( ( ( ti @ SV98 @ SV331 )
!= ( ti @ SV98 @ SV284 ) )
| ~ ( hBOOL @ ( hAPP @ SV98 @ bool @ ( hAPP @ SV98 @ ( fun @ SV98 @ bool ) @ ( ord_less @ SV98 ) @ SV331 ) @ SV284 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV98 @ bool @ ( hAPP @ SV98 @ ( fun @ SV98 @ bool ) @ ( ord_less @ SV98 ) @ SV284 ) @ SV331 ) )
= $true )
| ( ( linorder @ SV98 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1385]) ).
thf(1451,plain,
! [SV100: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1386]) ).
thf(1452,plain,
! [SV100: $i] :
( ( ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) ) )
= $true )
| ( ( ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1387]) ).
thf(1453,plain,
! [SV100: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) ) )
= $false )
| ( ( ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1388]) ).
thf(1454,plain,
! [SV100: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) )
= $false )
| ( ( ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1388]) ).
thf(1455,plain,
! [SV234: $i,SV183: $i,SV285: $i,SV101: $i] :
( ( ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV101 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV101 )
!= ( ti @ arrow_1212486748le_alt @ SV183 ) ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ SV234 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ SV234 ) @ SV285 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1389]) ).
thf(1456,plain,
! [SV234: $i,SV183: $i,SV285: $i,SV101: $i] :
( ( ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV101 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV101 )
!= ( ti @ arrow_1212486748le_alt @ SV183 ) ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ SV234 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ SV234 ) @ SV285 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1390]) ).
thf(1457,plain,
! [SV333: $i,SV287: $i,SV103: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV103 @ bool @ ( hAPP @ SV103 @ ( fun @ SV103 @ bool ) @ ( ord_less @ SV103 ) @ SV287 ) @ SV333 ) ) )
= $false )
| ( ( ( hBOOL @ ( hAPP @ SV103 @ bool @ ( hAPP @ SV103 @ ( fun @ SV103 @ bool ) @ ( ord_less @ SV103 ) @ SV333 ) @ SV287 ) )
| ( ( ti @ SV103 @ SV287 )
= ( ti @ SV103 @ SV333 ) ) )
= $true )
| ( ( linorder @ SV103 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1391]) ).
thf(1458,plain,
! [SV287: $i,SV333: $i,SV103: $i] :
( ( ( ( hBOOL @ ( hAPP @ SV103 @ bool @ ( hAPP @ SV103 @ ( fun @ SV103 @ bool ) @ ( ord_less @ SV103 ) @ SV333 ) @ SV287 ) )
| ( ( ti @ SV103 @ SV287 )
= ( ti @ SV103 @ SV333 ) ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ SV103 @ bool @ ( hAPP @ SV103 @ ( fun @ SV103 @ bool ) @ ( ord_less @ SV103 ) @ SV287 ) @ SV333 ) ) )
= $true )
| ( ( linorder @ SV103 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1392]) ).
thf(1459,plain,
! [SV104: $i,SV184: $i,SV362: $i,SV334: $i,SV288: $i,SV235: $i] :
( ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV235 )
!= ( ti @ arrow_1212486748le_alt @ SV288 ) ) ) )
= $true )
| ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
!= ( ti @ arrow_1212486748le_alt @ SV288 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV362 )
!= ( ti @ arrow_1212486748le_alt @ SV235 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV184 ) @ arrow_1834574746e_Prof ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV104 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY1050: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV184 @ SY1050 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV104 @ SY1050 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV104 @ SY1050 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV184 @ SY1050 ) ) ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV184 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV104 ) ) ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
= ( ti @ arrow_1212486748le_alt @ SV362 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1393]) ).
thf(1460,plain,
! [SV106: $i,SV185: $i,SV290: $i,SV236: $i,SV336: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV336 )
!= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $false )
| ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
!= ( ti @ arrow_1212486748le_alt @ SV236 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV185 ) @ arrow_1834574746e_Prof ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV106 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY1044: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ SY1044 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ SY1044 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ SY1044 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ SY1044 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) ) ) ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV336 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1394]) ).
thf(1461,plain,
! [SV363: $i,SV292: $i,SV237: $i,SV338: $i,SV187: $i,SV109: $i] :
( ( ( ( hAPP @ SV109 @ SV187 @ SV338 @ SV237 )
= ( hAPP @ SV109 @ SV187 @ SV338 @ SV292 ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV109 @ bool ) @ bool @ ( hAPP @ SV109 @ ( fun @ ( fun @ SV109 @ bool ) @ bool ) @ ( member @ SV109 ) @ SV237 ) @ SV363 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV109 @ bool ) @ bool @ ( hAPP @ SV109 @ ( fun @ ( fun @ SV109 @ bool ) @ bool ) @ ( member @ SV109 ) @ SV292 ) @ SV363 ) )
| ( ( ti @ SV109 @ SV237 )
= ( ti @ SV109 @ SV292 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV109 @ bool ) @ bool @ ( hAPP @ ( fun @ SV109 @ SV187 ) @ ( fun @ ( fun @ SV109 @ bool ) @ bool ) @ ( inj_on @ SV109 @ SV187 ) @ SV338 ) @ SV363 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1395]) ).
thf(1462,plain,
! [SV294: $i,SV340: $i,SV364: $i,SV111: $i] :
( ( ( hBOOL @ ( hAPP @ SV111 @ bool @ ( hAPP @ SV111 @ ( fun @ SV111 @ bool ) @ ( ord_less @ SV111 ) @ SV364 ) @ SV340 ) )
= $false )
| ( ( hBOOL @ SV294 )
= $true )
| ( ( hBOOL @ ( hAPP @ SV111 @ bool @ ( hAPP @ SV111 @ ( fun @ SV111 @ bool ) @ ( ord_less @ SV111 ) @ SV340 ) @ SV364 ) )
= $false )
| ( ( preorder @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1396]) ).
thf(1463,plain,
! [SV295: $i,SV113: $i] :
( ( ( ( ti @ SV113 @ SV295 )
= ( top_top @ SV113 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV113 @ bool @ ( hAPP @ SV113 @ ( fun @ SV113 @ bool ) @ ( ord_less @ SV113 ) @ SV295 ) @ ( top_top @ SV113 ) ) )
= $true )
| ( ( top @ SV113 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1397]) ).
thf(1464,plain,
! [SV295: $i,SV113: $i] :
( ( ( ( ti @ SV113 @ SV295 )
= ( top_top @ SV113 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV113 @ bool @ ( hAPP @ SV113 @ ( fun @ SV113 @ bool ) @ ( ord_less @ SV113 ) @ SV295 ) @ ( top_top @ SV113 ) ) )
= $false )
| ( ( top @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1398]) ).
thf(1465,plain,
! [SV41: $i,SV146: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( sK2_SY725 @ SV146 @ SV41 ) ) @ arrow_638930832le_Lin ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV41 )
= ( ti @ arrow_1212486748le_alt @ SV146 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1399]) ).
thf(1466,plain,
! [SV146: $i,SV41: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV41 ) @ SV146 ) ) @ ( sK2_SY725 @ SV146 @ SV41 ) ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV41 )
= ( ti @ arrow_1212486748le_alt @ SV146 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1400]) ).
thf(1467,plain,
! [SV43: $i,SV365: $i,SV373: $i,SV368: $i] :
( ( ( ~ ! [SY1085: $i] : ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV368 ) @ SV373 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV365 @ SY1085 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV368 ) @ SV373 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV43 @ SV365 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV365 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_1932713123nimity @ SV43 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1401]) ).
thf(1468,plain,
! [SV43: $i] :
( ( ( ~ ! [SY1076: $i] : ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK9_SY1054 @ SV43 ) ) @ ( sK15_SY1067 @ SV43 ) ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( sK3_SY466 @ SV43 ) @ SY1076 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_1932713123nimity @ SV43 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1402]) ).
thf(1469,plain,
! [SV43: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK9_SY1054 @ SV43 ) ) @ ( sK15_SY1067 @ SV43 ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV43 @ ( sK3_SY466 @ SV43 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_1932713123nimity @ SV43 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1402]) ).
thf(1470,plain,
! [SV303: $i,SV346: $i,SV207: $i,SV249: $i,SV46: $i,SV150: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ SV150 @ bool ) @ bool @ ( hAPP @ SV150 @ ( fun @ ( fun @ SV150 @ bool ) @ bool ) @ ( member @ SV150 ) @ ( hAPP @ SV46 @ SV150 @ SV249 @ SV207 ) ) @ ( hAPP @ SV46 @ ( fun @ SV150 @ bool ) @ SV346 @ SV207 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV46 @ bool ) @ bool @ ( hAPP @ SV46 @ ( fun @ ( fun @ SV46 @ bool ) @ bool ) @ ( member @ SV46 ) @ SV207 ) @ SV303 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ SV46 @ SV150 ) @ bool ) @ bool @ ( hAPP @ ( fun @ SV46 @ SV150 ) @ ( fun @ ( fun @ ( fun @ SV46 @ SV150 ) @ bool ) @ bool ) @ ( member @ ( fun @ SV46 @ SV150 ) ) @ SV249 ) @ ( hAPP @ ( fun @ SV46 @ ( fun @ SV150 @ bool ) ) @ ( fun @ ( fun @ SV46 @ SV150 ) @ bool ) @ ( hAPP @ ( fun @ SV46 @ bool ) @ ( fun @ ( fun @ SV46 @ ( fun @ SV150 @ bool ) ) @ ( fun @ ( fun @ SV46 @ SV150 ) @ bool ) ) @ ( pi @ SV46 @ SV150 ) @ SV303 ) @ SV346 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1403]) ).
thf(1471,plain,
! [SV348: $i,SV305: $i,SV251: $i,SV209: $i,SV152: $i,SV48: $i] :
( ( ( ( hAPP @ SV48 @ ( product_prod @ SV152 @ SV48 ) @ ( hAPP @ SV152 @ ( fun @ SV48 @ ( product_prod @ SV152 @ SV48 ) ) @ ( product_Pair @ SV152 @ SV48 ) @ SV209 ) @ SV251 )
= ( hAPP @ SV48 @ ( product_prod @ SV152 @ SV48 ) @ ( hAPP @ SV152 @ ( fun @ SV48 @ ( product_prod @ SV152 @ SV48 ) ) @ ( product_Pair @ SV152 @ SV48 ) @ SV305 ) @ SV348 ) )
= $false )
| ( ( ~ ( ( ( ti @ SV152 @ SV209 )
!= ( ti @ SV152 @ SV305 ) )
| ( ( ti @ SV48 @ SV251 )
!= ( ti @ SV48 @ SV348 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1405]) ).
thf(1472,plain,
! [SV348: $i,SV251: $i,SV48: $i,SV305: $i,SV209: $i,SV152: $i] :
( ( ( ~ ( ( ( ti @ SV152 @ SV209 )
!= ( ti @ SV152 @ SV305 ) )
| ( ( ti @ SV48 @ SV251 )
!= ( ti @ SV48 @ SV348 ) ) ) )
= $false )
| ( ( ( hAPP @ SV48 @ ( product_prod @ SV152 @ SV48 ) @ ( hAPP @ SV152 @ ( fun @ SV48 @ ( product_prod @ SV152 @ SV48 ) ) @ ( product_Pair @ SV152 @ SV48 ) @ SV209 ) @ SV251 )
= ( hAPP @ SV48 @ ( product_prod @ SV152 @ SV48 ) @ ( hAPP @ SV152 @ ( fun @ SV48 @ ( product_prod @ SV152 @ SV48 ) ) @ ( product_Pair @ SV152 @ SV48 ) @ SV305 ) @ SV348 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1406]) ).
thf(1473,plain,
! [SV153: $i,SV49: $i] :
( ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ ( sK10_SY1057 @ SV49 @ SV153 ) )
!= ( ti @ arrow_1212486748le_alt @ ( sK16_SY1069 @ SV153 @ SV49 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ arrow_1384031255e_indi @ bool @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ bool ) @ arrow_1990387629ctator @ SV153 ) @ SV49 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV153 ) @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) ) @ ( pi @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1834574746e_Prof ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( combk @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_638930832le_Lin ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1407]) ).
thf(1474,plain,
! [SV153: $i,SV49: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK10_SY1057 @ SV49 @ SV153 ) ) @ ( sK16_SY1069 @ SV153 @ SV49 ) ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( sK4_SY740 @ SV153 @ SV49 ) @ SV49 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK10_SY1057 @ SV49 @ SV153 ) ) @ ( sK16_SY1069 @ SV153 @ SV49 ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV153 @ ( sK4_SY740 @ SV153 @ SV49 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ arrow_1384031255e_indi @ bool @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ bool ) @ arrow_1990387629ctator @ SV153 ) @ SV49 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV153 ) @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) ) @ ( pi @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1834574746e_Prof ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( combk @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_638930832le_Lin ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1407]) ).
thf(1475,plain,
! [SV252: $i,SV210: $i,SV154: $i,SV50: $i] :
( ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ ( sK17_SY954 @ SV210 @ SV252 @ SV154 @ SV50 ) ) @ ( sK20_SY1077 @ SV252 @ SV210 @ SV154 @ SV50 ) ) ) @ SV252 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ ( sK17_SY954 @ SV210 @ SV252 @ SV154 @ SV50 ) ) @ ( sK20_SY1077 @ SV252 @ SV210 @ SV154 @ SV50 ) ) ) @ SV210 ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ ( sK17_SY954 @ SV210 @ SV252 @ SV154 @ SV50 ) ) @ ( sK20_SY1077 @ SV252 @ SV210 @ SV154 @ SV50 ) ) ) @ SV210 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ ( sK17_SY954 @ SV210 @ SV252 @ SV154 @ SV50 ) ) @ ( sK20_SY1077 @ SV252 @ SV210 @ SV154 @ SV50 ) ) ) @ SV252 ) ) ) ) )
= $false )
| ( ( ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV252 )
= ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV210 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1408]) ).
thf(1476,plain,
! [SV210: $i,SV252: $i,SV374: $i,SV369: $i,SV154: $i,SV50: $i] :
( ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SV369 ) @ SV374 ) ) @ SV252 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SV369 ) @ SV374 ) ) @ SV210 ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SV369 ) @ SV374 ) ) @ SV210 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SV369 ) @ SV374 ) ) @ SV252 ) ) ) ) )
= $true )
| ( ( ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV252 )
= ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV210 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1409]) ).
thf(1477,plain,
! [SV306: $i,SV253: $i,SV211: $i,SV155: $i,SV51: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
| ~ ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV155 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV253 ) @ SV155 ) ) @ SV211 ) ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV253 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV253 ) ) @ SV211 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) ) ) ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV155 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV253 ) @ SV155 ) ) @ SV211 ) ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV253 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV253 ) ) @ SV211 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) ) ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1410]) ).
thf(1478,plain,
! [SV254: $i,SV212: $i,SV307: $i,SV156: $i,SV52: $i] :
( ( ( ( hAPP @ SV52 @ SV156 @ SV307 @ SV212 )
!= ( hAPP @ SV52 @ SV156 @ SV307 @ SV254 ) )
= $true )
| ( ( ( ti @ SV52 @ SV212 )
= ( ti @ SV52 @ SV254 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV52 @ bool ) @ bool @ ( hAPP @ ( fun @ SV52 @ SV156 ) @ ( fun @ ( fun @ SV52 @ bool ) @ bool ) @ ( inj_on @ SV52 @ SV156 ) @ SV307 ) @ ( top_top @ ( fun @ SV52 @ bool ) ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1411]) ).
thf(1479,plain,
! [SV307: $i,SV156: $i,SV254: $i,SV212: $i,SV52: $i] :
( ( ( ( ti @ SV52 @ SV212 )
!= ( ti @ SV52 @ SV254 ) )
= $true )
| ( ( ( hAPP @ SV52 @ SV156 @ SV307 @ SV212 )
= ( hAPP @ SV52 @ SV156 @ SV307 @ SV254 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV52 @ bool ) @ bool @ ( hAPP @ ( fun @ SV52 @ SV156 ) @ ( fun @ ( fun @ SV52 @ bool ) @ bool ) @ ( inj_on @ SV52 @ SV156 ) @ SV307 ) @ ( top_top @ ( fun @ SV52 @ bool ) ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1412]) ).
thf(1480,plain,
! [SV350: $i,SV309: $i,SV54: $i,SV158: $i,SV256: $i,SV214: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV214 )
!= ( ti @ arrow_1212486748le_alt @ SV256 ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV158 ) @ arrow_1834574746e_Prof ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV54 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY1047: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ SY1047 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ SY1047 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ SY1047 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ SY1047 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) ) ) ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV309 )
= ( ti @ arrow_1212486748le_alt @ SV350 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1414]) ).
thf(1481,plain,
! [SV160: $i,SV260: $i,SV216: $i,SV59: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV59 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ~ ! [SY968: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ SY968 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ SY968 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ SY968 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ SY968 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV160 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV216 )
= ( ti @ arrow_1212486748le_alt @ SV260 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1416]) ).
thf(1482,plain,
! [SV353: $i,SV265: $i,SV65: $i,SV317: $i,SV218: $i,SV163: $i] :
( ( ( ( ti @ SV163 @ SV218 )
= ( ti @ SV163 @ SV317 ) )
= $true )
| ( ( ( hAPP @ SV65 @ ( product_prod @ SV163 @ SV65 ) @ ( hAPP @ SV163 @ ( fun @ SV65 @ ( product_prod @ SV163 @ SV65 ) ) @ ( product_Pair @ SV163 @ SV65 ) @ SV218 ) @ SV265 )
= ( hAPP @ SV65 @ ( product_prod @ SV163 @ SV65 ) @ ( hAPP @ SV163 @ ( fun @ SV65 @ ( product_prod @ SV163 @ SV65 ) ) @ ( product_Pair @ SV163 @ SV65 ) @ SV317 ) @ SV353 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1418]) ).
thf(1483,plain,
! [SV317: $i,SV218: $i,SV163: $i,SV353: $i,SV265: $i,SV65: $i] :
( ( ( ( ti @ SV65 @ SV265 )
= ( ti @ SV65 @ SV353 ) )
= $true )
| ( ( ( hAPP @ SV65 @ ( product_prod @ SV163 @ SV65 ) @ ( hAPP @ SV163 @ ( fun @ SV65 @ ( product_prod @ SV163 @ SV65 ) ) @ ( product_Pair @ SV163 @ SV65 ) @ SV218 ) @ SV265 )
= ( hAPP @ SV65 @ ( product_prod @ SV163 @ SV65 ) @ ( hAPP @ SV163 @ ( fun @ SV65 @ ( product_prod @ SV163 @ SV65 ) ) @ ( product_Pair @ SV163 @ SV65 ) @ SV317 ) @ SV353 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1419]) ).
thf(1484,plain,
! [SV318: $i,SV266: $i,SV67: $i] :
( ( ( ( ti @ SV67 @ SV266 )
= ( ti @ SV67 @ SV318 ) )
= $true )
| ( ( ( hBOOL @ ( hAPP @ SV67 @ bool @ ( hAPP @ SV67 @ ( fun @ SV67 @ bool ) @ ( ord_less @ SV67 ) @ SV266 ) @ SV318 ) )
| ( hBOOL @ ( hAPP @ SV67 @ bool @ ( hAPP @ SV67 @ ( fun @ SV67 @ bool ) @ ( ord_less @ SV67 ) @ SV318 ) @ SV266 ) ) )
= $true )
| ( ( linorder @ SV67 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1420]) ).
thf(1485,plain,
! [SV318: $i,SV266: $i,SV67: $i] :
( ( ( hBOOL @ ( hAPP @ SV67 @ bool @ ( hAPP @ SV67 @ ( fun @ SV67 @ bool ) @ ( ord_less @ SV67 ) @ SV266 ) @ SV318 ) )
= $false )
| ( ( ( ti @ SV67 @ SV266 )
!= ( ti @ SV67 @ SV318 ) )
= $true )
| ( ( linorder @ SV67 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1421]) ).
thf(1486,plain,
! [SV266: $i,SV318: $i,SV67: $i] :
( ( ( hBOOL @ ( hAPP @ SV67 @ bool @ ( hAPP @ SV67 @ ( fun @ SV67 @ bool ) @ ( ord_less @ SV67 ) @ SV318 ) @ SV266 ) )
= $false )
| ( ( ( ti @ SV67 @ SV266 )
!= ( ti @ SV67 @ SV318 ) )
= $true )
| ( ( linorder @ SV67 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1421]) ).
thf(1487,plain,
! [SV268: $i,SV320: $i,SV165: $i,SV355: $i,SV219: $i,SV69: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV69 @ bool ) @ bool @ ( hAPP @ SV69 @ ( fun @ ( fun @ SV69 @ bool ) @ bool ) @ ( member @ SV69 ) @ SV219 ) @ SV355 ) ) )
= $true )
| ( ( ~ ( ~ ( ( ( hAPP @ SV69 @ SV165 @ SV320 @ SV268 )
!= ( hAPP @ SV69 @ SV165 @ SV320 @ SV219 ) )
| ( ( ti @ SV69 @ SV268 )
= ( ti @ SV69 @ SV219 ) ) )
| ~ ( ( ( ti @ SV69 @ SV268 )
!= ( ti @ SV69 @ SV219 ) )
| ( ( hAPP @ SV69 @ SV165 @ SV320 @ SV268 )
= ( hAPP @ SV69 @ SV165 @ SV320 @ SV219 ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV69 @ bool ) @ bool @ ( hAPP @ SV69 @ ( fun @ ( fun @ SV69 @ bool ) @ bool ) @ ( member @ SV69 ) @ SV268 ) @ SV355 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV69 @ bool ) @ bool @ ( hAPP @ ( fun @ SV69 @ SV165 ) @ ( fun @ ( fun @ SV69 @ bool ) @ bool ) @ ( inj_on @ SV69 @ SV165 ) @ SV320 ) @ SV355 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1423]) ).
thf(1488,plain,
! [SV321: $i,SV269: $i,SV71: $i] :
( ( ( hBOOL @ ( hAPP @ SV71 @ bool @ ( hAPP @ SV71 @ ( fun @ SV71 @ bool ) @ ( ord_less @ SV71 ) @ SV269 ) @ SV321 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV71 @ bool @ ( hAPP @ SV71 @ ( fun @ SV71 @ bool ) @ ( ord_less @ SV71 ) @ SV321 ) @ SV269 ) )
= $true )
| ( ( ( ti @ SV71 @ SV269 )
= ( ti @ SV71 @ SV321 ) )
= $true )
| ( ( linorder @ SV71 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1426]) ).
thf(1489,plain,
! [SV75: $i] :
( ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1427]) ).
thf(1490,plain,
! [SV75: $i] :
( ( ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1428]) ).
thf(1491,plain,
! [SV75: $i] :
( ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1429]) ).
thf(1492,plain,
! [SV75: $i] :
( ( ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) )
= $false )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1430]) ).
thf(1493,plain,
! [SV356: $i,SV221: $i,SV273: $i,SV324: $i,SV168: $i,SV77: $i] :
( ( ( ( hAPP @ SV77 @ SV168 @ SV324 @ SV273 )
!= ( ti @ SV168 @ SV221 ) )
= $true )
| ( ( ( hAPP @ SV168 @ SV77 @ ( hAPP @ ( fun @ SV77 @ SV168 ) @ ( fun @ SV168 @ SV77 ) @ ( hAPP @ ( fun @ SV77 @ bool ) @ ( fun @ ( fun @ SV77 @ SV168 ) @ ( fun @ SV168 @ SV77 ) ) @ ( hilbert_inv_into @ SV77 @ SV168 ) @ SV356 ) @ SV324 ) @ SV221 )
= ( ti @ SV77 @ SV273 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV77 @ bool ) @ bool @ ( hAPP @ SV77 @ ( fun @ ( fun @ SV77 @ bool ) @ bool ) @ ( member @ SV77 ) @ SV273 ) @ SV356 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV77 @ bool ) @ bool @ ( hAPP @ ( fun @ SV77 @ SV168 ) @ ( fun @ ( fun @ SV77 @ bool ) @ bool ) @ ( inj_on @ SV77 @ SV168 ) @ SV324 ) @ SV356 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1431]) ).
thf(1494,plain,
! [SV325: $i,SV172: $i,SV357: $i,SV275: $i,SV225: $i,SV81: $i] :
( ( ( ( ti @ SV81 @ SV225 )
= ( ti @ SV81 @ SV275 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV81 @ bool ) @ bool @ ( hAPP @ SV81 @ ( fun @ ( fun @ SV81 @ bool ) @ bool ) @ ( member @ SV81 ) @ SV225 ) @ SV357 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ SV81 @ bool ) @ bool @ ( hAPP @ SV81 @ ( fun @ ( fun @ SV81 @ bool ) @ bool ) @ ( member @ SV81 ) @ SV275 ) @ SV357 ) )
| ( ( hAPP @ SV81 @ SV172 @ SV325 @ SV225 )
!= ( hAPP @ SV81 @ SV172 @ SV325 @ SV275 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV81 @ bool ) @ bool @ ( hAPP @ ( fun @ SV81 @ SV172 ) @ ( fun @ ( fun @ SV81 @ bool ) @ bool ) @ ( inj_on @ SV81 @ SV172 ) @ SV325 ) @ SV357 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1432]) ).
thf(1495,plain,
! [SV226: $i,SV82: $i,SV276: $i,SV173: $i] :
( ( ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV173 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV173 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ SV226 ) @ SV276 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1433]) ).
thf(1496,plain,
! [SV226: $i,SV173: $i,SV276: $i,SV82: $i] :
( ( ( ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ SV226 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ SV226 ) @ SV276 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1433]) ).
thf(1497,plain,
! [SV226: $i,SV82: $i,SV276: $i,SV173: $i] :
( ( ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV173 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV173 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ SV226 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ SV226 ) @ SV276 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1434]) ).
thf(1498,plain,
! [SV84: $i,SV175: $i,SV358: $i,SV326: $i,SV277: $i,SV228: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV228 )
!= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $false )
| ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
!= ( ti @ arrow_1212486748le_alt @ SV277 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV358 )
!= ( ti @ arrow_1212486748le_alt @ SV228 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV175 ) @ arrow_1834574746e_Prof ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV84 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY1049: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ SY1049 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ SY1049 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ SY1049 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ SY1049 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) ) ) ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV358 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1435]) ).
thf(1499,plain,
! [SV329: $i,SV280: $i,SV88: $i] :
( ( ( ( ti @ SV88 @ SV280 )
= ( ti @ SV88 @ SV329 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV88 @ bool @ ( hAPP @ SV88 @ ( fun @ SV88 @ bool ) @ ( ord_less @ SV88 ) @ SV329 ) @ SV280 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV88 @ bool @ ( hAPP @ SV88 @ ( fun @ SV88 @ bool ) @ ( ord_less @ SV88 ) @ SV280 ) @ SV329 ) )
= $true )
| ( ( linorder @ SV88 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1438]) ).
thf(1500,plain,
! [SV89: $i,SV366: $i,SV370: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV370 ) @ arrow_1834574746e_Prof ) ) )
= $true )
| ( ( ! [SY1079: $i,SY1080: $i] :
( ~ ! [SY1081: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1079 ) @ SY1080 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV366 @ SY1081 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1079 ) @ SY1080 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV370 @ SY1081 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1079 ) @ SY1080 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV370 @ SY1081 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1079 ) @ SY1080 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV366 @ SY1081 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1079 ) @ SY1080 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1079 ) @ SY1080 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1079 ) @ SY1080 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1079 ) @ SY1080 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV366 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1439]) ).
thf(1501,plain,
! [SV89: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ ( sK12_SY1063 @ SV89 ) ) @ arrow_1834574746e_Prof ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1440]) ).
thf(1502,plain,
! [SV89: $i] :
( ( ( ! [SY1086: $i] :
( ~ ! [SY1087: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ SY1086 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( sK6_SY617 @ SV89 ) @ SY1087 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ SY1086 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( sK12_SY1063 @ SV89 ) @ SY1087 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ SY1086 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( sK12_SY1063 @ SV89 ) @ SY1087 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ SY1086 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( sK6_SY617 @ SV89 ) @ SY1087 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ SY1086 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ ( sK6_SY617 @ SV89 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ SY1086 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ ( sK12_SY1063 @ SV89 ) ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ SY1086 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ ( sK12_SY1063 @ SV89 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ SY1086 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ ( sK6_SY617 @ SV89 ) ) ) ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1441]) ).
thf(1503,plain,
! [SV375: $i,SV371: $i,SV229: $i,SV177: $i,SV90: $i] :
( ( ( hBOOL @ ( hAPP @ ( product_prod @ SV90 @ SV177 ) @ bool @ SV229 @ ( hAPP @ SV177 @ ( product_prod @ SV90 @ SV177 ) @ ( hAPP @ SV90 @ ( fun @ SV177 @ ( product_prod @ SV90 @ SV177 ) ) @ ( product_Pair @ SV90 @ SV177 ) @ SV371 ) @ SV375 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( product_prod @ SV90 @ SV177 ) @ bool @ SV229 @ ( sK13_SY914 @ SV229 @ SV177 @ SV90 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1442]) ).
thf(1504,plain,
! [SV376: $i,SV229: $i,SV177: $i,SV90: $i] :
( ( ( hBOOL @ ( hAPP @ ( product_prod @ SV90 @ SV177 ) @ bool @ SV229 @ SV376 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( product_prod @ SV90 @ SV177 ) @ bool @ SV229 @ ( hAPP @ SV177 @ ( product_prod @ SV90 @ SV177 ) @ ( hAPP @ SV90 @ ( fun @ SV177 @ ( product_prod @ SV90 @ SV177 ) ) @ ( product_Pair @ SV90 @ SV177 ) @ ( sK14_SY917 @ SV229 @ SV177 @ SV90 ) ) @ ( sK18_SY1073 @ SV229 @ SV177 @ SV90 ) ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1443]) ).
thf(1505,plain,
! [SV230: $i,SV179: $i,SV281: $i,SV372: $i,SV93: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ SV93 @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( member @ SV93 ) @ SV372 ) @ SV281 ) ) )
= $true )
| ( ( ! [SY1083: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ SV93 @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( member @ SV93 ) @ SY1083 ) @ SV281 ) )
| ( ( hAPP @ SV93 @ SV179 @ SV230 @ SV372 )
!= ( hAPP @ SV93 @ SV179 @ SV230 @ SY1083 ) )
| ( ( ti @ SV93 @ SV372 )
= ( ti @ SV93 @ SY1083 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ ( fun @ SV93 @ SV179 ) @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( inj_on @ SV93 @ SV179 ) @ SV230 ) @ SV281 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1444]) ).
thf(1506,plain,
! [SV281: $i,SV179: $i,SV230: $i,SV93: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ SV93 @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( member @ SV93 ) @ ( sK19_SY999 @ SV230 @ SV179 @ SV281 @ SV93 ) ) @ SV281 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ ( fun @ SV93 @ SV179 ) @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( inj_on @ SV93 @ SV179 ) @ SV230 ) @ SV281 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1445]) ).
thf(1507,plain,
! [SV230: $i,SV179: $i,SV281: $i,SV93: $i] :
( ( ( ! [SY1084: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ SV93 @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( member @ SV93 ) @ SY1084 ) @ SV281 ) )
| ( ( hAPP @ SV93 @ SV179 @ SV230 @ ( sK19_SY999 @ SV230 @ SV179 @ SV281 @ SV93 ) )
!= ( hAPP @ SV93 @ SV179 @ SV230 @ SY1084 ) )
| ( ( ti @ SV93 @ ( sK19_SY999 @ SV230 @ SV179 @ SV281 @ SV93 ) )
= ( ti @ SV93 @ SY1084 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ ( fun @ SV93 @ SV179 ) @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( inj_on @ SV93 @ SV179 ) @ SV230 ) @ SV281 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1445]) ).
thf(1508,plain,
! [SV232: $i,SV181: $i,SV97: $i] :
( ( ( ~ ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV97 ) @ SV181 ) ) @ SV232 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV181 ) @ SV97 ) ) @ SV232 ) ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV97 )
= ( ti @ arrow_1212486748le_alt @ SV181 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV232 ) @ arrow_638930832le_Lin ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1447]) ).
thf(1509,plain,
! [SV232: $i,SV97: $i,SV181: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV181 ) @ SV97 ) ) @ SV232 ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV97 ) @ SV181 ) ) @ SV232 ) ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV97 )
= ( ti @ arrow_1212486748le_alt @ SV181 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV232 ) @ arrow_638930832le_Lin ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1448]) ).
thf(1510,plain,
! [SV284: $i,SV331: $i,SV98: $i] :
( ( ( ~ ~ ( hBOOL @ ( hAPP @ SV98 @ bool @ ( hAPP @ SV98 @ ( fun @ SV98 @ bool ) @ ( ord_less @ SV98 ) @ SV331 ) @ SV284 ) )
| ( ( ti @ SV98 @ SV331 )
= ( ti @ SV98 @ SV284 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV98 @ bool @ ( hAPP @ SV98 @ ( fun @ SV98 @ bool ) @ ( ord_less @ SV98 ) @ SV284 ) @ SV331 ) )
= $true )
| ( ( linorder @ SV98 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1449]) ).
thf(1511,plain,
! [SV284: $i,SV331: $i,SV98: $i] :
( ( ( ( ( ti @ SV98 @ SV331 )
!= ( ti @ SV98 @ SV284 ) )
| ~ ( hBOOL @ ( hAPP @ SV98 @ bool @ ( hAPP @ SV98 @ ( fun @ SV98 @ bool ) @ ( ord_less @ SV98 ) @ SV331 ) @ SV284 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV98 @ bool @ ( hAPP @ SV98 @ ( fun @ SV98 @ bool ) @ ( ord_less @ SV98 ) @ SV284 ) @ SV331 ) )
= $true )
| ( ( linorder @ SV98 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1450]) ).
thf(1512,plain,
! [SV100: $i] :
( ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1451]) ).
thf(1513,plain,
! [SV100: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) ) )
= $false )
| ( ( ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1452]) ).
thf(1514,plain,
! [SV100: $i] :
( ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) )
= $true )
| ( ( ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1453]) ).
thf(1515,plain,
! [SV100: $i] :
( ( ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1454]) ).
thf(1516,plain,
! [SV234: $i,SV183: $i,SV285: $i,SV101: $i] :
( ( ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV101 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV101 )
!= ( ti @ arrow_1212486748le_alt @ SV183 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ SV234 ) @ SV285 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1455]) ).
thf(1517,plain,
! [SV234: $i,SV101: $i,SV285: $i,SV183: $i] :
( ( ( ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ SV234 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ SV234 ) @ SV285 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1455]) ).
thf(1518,plain,
! [SV234: $i,SV183: $i,SV285: $i,SV101: $i] :
( ( ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV101 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV101 )
!= ( ti @ arrow_1212486748le_alt @ SV183 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ SV234 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ SV234 ) @ SV285 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1456]) ).
thf(1519,plain,
! [SV333: $i,SV287: $i,SV103: $i] :
( ( ( hBOOL @ ( hAPP @ SV103 @ bool @ ( hAPP @ SV103 @ ( fun @ SV103 @ bool ) @ ( ord_less @ SV103 ) @ SV287 ) @ SV333 ) )
= $true )
| ( ( ( hBOOL @ ( hAPP @ SV103 @ bool @ ( hAPP @ SV103 @ ( fun @ SV103 @ bool ) @ ( ord_less @ SV103 ) @ SV333 ) @ SV287 ) )
| ( ( ti @ SV103 @ SV287 )
= ( ti @ SV103 @ SV333 ) ) )
= $true )
| ( ( linorder @ SV103 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1457]) ).
thf(1520,plain,
! [SV287: $i,SV333: $i,SV103: $i] :
( ( ( hBOOL @ ( hAPP @ SV103 @ bool @ ( hAPP @ SV103 @ ( fun @ SV103 @ bool ) @ ( ord_less @ SV103 ) @ SV333 ) @ SV287 ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ SV103 @ bool @ ( hAPP @ SV103 @ ( fun @ SV103 @ bool ) @ ( ord_less @ SV103 ) @ SV287 ) @ SV333 ) ) )
= $true )
| ( ( linorder @ SV103 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1458]) ).
thf(1521,plain,
! [SV333: $i,SV287: $i,SV103: $i] :
( ( ( ( ti @ SV103 @ SV287 )
= ( ti @ SV103 @ SV333 ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ SV103 @ bool @ ( hAPP @ SV103 @ ( fun @ SV103 @ bool ) @ ( ord_less @ SV103 ) @ SV287 ) @ SV333 ) ) )
= $true )
| ( ( linorder @ SV103 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1458]) ).
thf(1522,plain,
! [SV104: $i,SV184: $i,SV362: $i,SV334: $i,SV288: $i,SV235: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV235 )
!= ( ti @ arrow_1212486748le_alt @ SV288 ) )
= $false )
| ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
!= ( ti @ arrow_1212486748le_alt @ SV288 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV362 )
!= ( ti @ arrow_1212486748le_alt @ SV235 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV184 ) @ arrow_1834574746e_Prof ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV104 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY1050: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV184 @ SY1050 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV104 @ SY1050 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV104 @ SY1050 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV184 @ SY1050 ) ) ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV184 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV104 ) ) ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
= ( ti @ arrow_1212486748le_alt @ SV362 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1459]) ).
thf(1523,plain,
! [SV106: $i,SV185: $i,SV290: $i,SV236: $i,SV336: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV336 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
!= ( ti @ arrow_1212486748le_alt @ SV236 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV185 ) @ arrow_1834574746e_Prof ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV106 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY1044: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ SY1044 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ SY1044 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ SY1044 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ SY1044 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) ) ) ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV336 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1460]) ).
thf(1524,plain,
! [SV338: $i,SV187: $i,SV292: $i,SV363: $i,SV237: $i,SV109: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV109 @ bool ) @ bool @ ( hAPP @ SV109 @ ( fun @ ( fun @ SV109 @ bool ) @ bool ) @ ( member @ SV109 ) @ SV237 ) @ SV363 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV109 @ bool ) @ bool @ ( hAPP @ SV109 @ ( fun @ ( fun @ SV109 @ bool ) @ bool ) @ ( member @ SV109 ) @ SV292 ) @ SV363 ) )
| ( ( ti @ SV109 @ SV237 )
= ( ti @ SV109 @ SV292 ) ) )
= $true )
| ( ( ( hAPP @ SV109 @ SV187 @ SV338 @ SV237 )
= ( hAPP @ SV109 @ SV187 @ SV338 @ SV292 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV109 @ bool ) @ bool @ ( hAPP @ ( fun @ SV109 @ SV187 ) @ ( fun @ ( fun @ SV109 @ bool ) @ bool ) @ ( inj_on @ SV109 @ SV187 ) @ SV338 ) @ SV363 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1461]) ).
thf(1525,plain,
! [SV43: $i,SV365: $i,SV373: $i,SV368: $i] :
( ( ( ~ ! [SY1085: $i] : ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV368 ) @ SV373 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV365 @ SY1085 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV368 ) @ SV373 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV43 @ SV365 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV365 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_1932713123nimity @ SV43 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1467]) ).
thf(1526,plain,
! [SV43: $i] :
( ( ( ! [SY1076: $i] : ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK9_SY1054 @ SV43 ) ) @ ( sK15_SY1067 @ SV43 ) ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( sK3_SY466 @ SV43 ) @ SY1076 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_1932713123nimity @ SV43 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1468]) ).
thf(1527,plain,
! [SV346: $i,SV249: $i,SV150: $i,SV303: $i,SV207: $i,SV46: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ SV46 @ bool ) @ bool @ ( hAPP @ SV46 @ ( fun @ ( fun @ SV46 @ bool ) @ bool ) @ ( member @ SV46 ) @ SV207 ) @ SV303 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV150 @ bool ) @ bool @ ( hAPP @ SV150 @ ( fun @ ( fun @ SV150 @ bool ) @ bool ) @ ( member @ SV150 ) @ ( hAPP @ SV46 @ SV150 @ SV249 @ SV207 ) ) @ ( hAPP @ SV46 @ ( fun @ SV150 @ bool ) @ SV346 @ SV207 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ SV46 @ SV150 ) @ bool ) @ bool @ ( hAPP @ ( fun @ SV46 @ SV150 ) @ ( fun @ ( fun @ ( fun @ SV46 @ SV150 ) @ bool ) @ bool ) @ ( member @ ( fun @ SV46 @ SV150 ) ) @ SV249 ) @ ( hAPP @ ( fun @ SV46 @ ( fun @ SV150 @ bool ) ) @ ( fun @ ( fun @ SV46 @ SV150 ) @ bool ) @ ( hAPP @ ( fun @ SV46 @ bool ) @ ( fun @ ( fun @ SV46 @ ( fun @ SV150 @ bool ) ) @ ( fun @ ( fun @ SV46 @ SV150 ) @ bool ) ) @ ( pi @ SV46 @ SV150 ) @ SV303 ) @ SV346 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1470]) ).
thf(1528,plain,
! [SV348: $i,SV251: $i,SV48: $i,SV305: $i,SV209: $i,SV152: $i] :
( ( ( ( ( ti @ SV152 @ SV209 )
!= ( ti @ SV152 @ SV305 ) )
| ( ( ti @ SV48 @ SV251 )
!= ( ti @ SV48 @ SV348 ) ) )
= $false )
| ( ( ( hAPP @ SV48 @ ( product_prod @ SV152 @ SV48 ) @ ( hAPP @ SV152 @ ( fun @ SV48 @ ( product_prod @ SV152 @ SV48 ) ) @ ( product_Pair @ SV152 @ SV48 ) @ SV209 ) @ SV251 )
= ( hAPP @ SV48 @ ( product_prod @ SV152 @ SV48 ) @ ( hAPP @ SV152 @ ( fun @ SV48 @ ( product_prod @ SV152 @ SV48 ) ) @ ( product_Pair @ SV152 @ SV48 ) @ SV305 ) @ SV348 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1471]) ).
thf(1529,plain,
! [SV348: $i,SV251: $i,SV48: $i,SV305: $i,SV209: $i,SV152: $i] :
( ( ( ( ( ti @ SV152 @ SV209 )
!= ( ti @ SV152 @ SV305 ) )
| ( ( ti @ SV48 @ SV251 )
!= ( ti @ SV48 @ SV348 ) ) )
= $true )
| ( ( ( hAPP @ SV48 @ ( product_prod @ SV152 @ SV48 ) @ ( hAPP @ SV152 @ ( fun @ SV48 @ ( product_prod @ SV152 @ SV48 ) ) @ ( product_Pair @ SV152 @ SV48 ) @ SV209 ) @ SV251 )
= ( hAPP @ SV48 @ ( product_prod @ SV152 @ SV48 ) @ ( hAPP @ SV152 @ ( fun @ SV48 @ ( product_prod @ SV152 @ SV48 ) ) @ ( product_Pair @ SV152 @ SV48 ) @ SV305 ) @ SV348 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1472]) ).
thf(1530,plain,
! [SV153: $i,SV49: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ ( sK10_SY1057 @ SV49 @ SV153 ) )
!= ( ti @ arrow_1212486748le_alt @ ( sK16_SY1069 @ SV153 @ SV49 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ arrow_1384031255e_indi @ bool @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ bool ) @ arrow_1990387629ctator @ SV153 ) @ SV49 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV153 ) @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) ) @ ( pi @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1834574746e_Prof ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( combk @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_638930832le_Lin ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1473]) ).
thf(1531,plain,
! [SV153: $i,SV49: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK10_SY1057 @ SV49 @ SV153 ) ) @ ( sK16_SY1069 @ SV153 @ SV49 ) ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( sK4_SY740 @ SV153 @ SV49 ) @ SV49 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ arrow_1384031255e_indi @ bool @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ bool ) @ arrow_1990387629ctator @ SV153 ) @ SV49 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV153 ) @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) ) @ ( pi @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1834574746e_Prof ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( combk @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_638930832le_Lin ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1474]) ).
thf(1532,plain,
! [SV153: $i,SV49: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK10_SY1057 @ SV49 @ SV153 ) ) @ ( sK16_SY1069 @ SV153 @ SV49 ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV153 @ ( sK4_SY740 @ SV153 @ SV49 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ arrow_1384031255e_indi @ bool @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ bool ) @ arrow_1990387629ctator @ SV153 ) @ SV49 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV153 ) @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) ) @ ( pi @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1834574746e_Prof ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( combk @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_638930832le_Lin ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1474]) ).
thf(1533,plain,
! [SV252: $i,SV210: $i,SV154: $i,SV50: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ ( sK17_SY954 @ SV210 @ SV252 @ SV154 @ SV50 ) ) @ ( sK20_SY1077 @ SV252 @ SV210 @ SV154 @ SV50 ) ) ) @ SV252 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ ( sK17_SY954 @ SV210 @ SV252 @ SV154 @ SV50 ) ) @ ( sK20_SY1077 @ SV252 @ SV210 @ SV154 @ SV50 ) ) ) @ SV210 ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ ( sK17_SY954 @ SV210 @ SV252 @ SV154 @ SV50 ) ) @ ( sK20_SY1077 @ SV252 @ SV210 @ SV154 @ SV50 ) ) ) @ SV210 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ ( sK17_SY954 @ SV210 @ SV252 @ SV154 @ SV50 ) ) @ ( sK20_SY1077 @ SV252 @ SV210 @ SV154 @ SV50 ) ) ) @ SV252 ) ) ) )
= $true )
| ( ( ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV252 )
= ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV210 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1475]) ).
thf(1534,plain,
! [SV210: $i,SV252: $i,SV374: $i,SV369: $i,SV154: $i,SV50: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SV369 ) @ SV374 ) ) @ SV252 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SV369 ) @ SV374 ) ) @ SV210 ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SV369 ) @ SV374 ) ) @ SV210 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SV369 ) @ SV374 ) ) @ SV252 ) ) ) )
= $false )
| ( ( ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV252 )
= ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV210 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1476]) ).
thf(1535,plain,
! [SV306: $i,SV253: $i,SV211: $i,SV155: $i,SV51: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
| ~ ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV155 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV253 ) @ SV155 ) ) @ SV211 ) ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV253 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV253 ) ) @ SV211 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) ) ) ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1477]) ).
thf(1536,plain,
! [SV211: $i,SV253: $i,SV306: $i,SV155: $i,SV51: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV155 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV253 ) @ SV155 ) ) @ SV211 ) ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV253 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV253 ) ) @ SV211 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) ) ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1477]) ).
thf(1537,plain,
! [SV254: $i,SV212: $i,SV307: $i,SV156: $i,SV52: $i] :
( ( ( ( hAPP @ SV52 @ SV156 @ SV307 @ SV212 )
= ( hAPP @ SV52 @ SV156 @ SV307 @ SV254 ) )
= $false )
| ( ( ( ti @ SV52 @ SV212 )
= ( ti @ SV52 @ SV254 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV52 @ bool ) @ bool @ ( hAPP @ ( fun @ SV52 @ SV156 ) @ ( fun @ ( fun @ SV52 @ bool ) @ bool ) @ ( inj_on @ SV52 @ SV156 ) @ SV307 ) @ ( top_top @ ( fun @ SV52 @ bool ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1478]) ).
thf(1538,plain,
! [SV307: $i,SV156: $i,SV254: $i,SV212: $i,SV52: $i] :
( ( ( ( ti @ SV52 @ SV212 )
= ( ti @ SV52 @ SV254 ) )
= $false )
| ( ( ( hAPP @ SV52 @ SV156 @ SV307 @ SV212 )
= ( hAPP @ SV52 @ SV156 @ SV307 @ SV254 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV52 @ bool ) @ bool @ ( hAPP @ ( fun @ SV52 @ SV156 ) @ ( fun @ ( fun @ SV52 @ bool ) @ bool ) @ ( inj_on @ SV52 @ SV156 ) @ SV307 ) @ ( top_top @ ( fun @ SV52 @ bool ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1479]) ).
thf(1539,plain,
! [SV350: $i,SV309: $i,SV54: $i,SV158: $i,SV256: $i,SV214: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV214 )
= ( ti @ arrow_1212486748le_alt @ SV256 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV158 ) @ arrow_1834574746e_Prof ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV54 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY1047: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ SY1047 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ SY1047 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ SY1047 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ SY1047 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) ) ) ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV309 )
= ( ti @ arrow_1212486748le_alt @ SV350 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1480]) ).
thf(1540,plain,
! [SV59: $i,SV160: $i,SV260: $i,SV216: $i] :
( ( ( ~ ! [SY968: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ SY968 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ SY968 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ SY968 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ SY968 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV59 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV160 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV216 )
= ( ti @ arrow_1212486748le_alt @ SV260 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1481]) ).
thf(1541,plain,
! [SV318: $i,SV266: $i,SV67: $i] :
( ( ( hBOOL @ ( hAPP @ SV67 @ bool @ ( hAPP @ SV67 @ ( fun @ SV67 @ bool ) @ ( ord_less @ SV67 ) @ SV266 ) @ SV318 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV67 @ bool @ ( hAPP @ SV67 @ ( fun @ SV67 @ bool ) @ ( ord_less @ SV67 ) @ SV318 ) @ SV266 ) )
= $true )
| ( ( ( ti @ SV67 @ SV266 )
= ( ti @ SV67 @ SV318 ) )
= $true )
| ( ( linorder @ SV67 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1484]) ).
thf(1542,plain,
! [SV318: $i,SV266: $i,SV67: $i] :
( ( ( ( ti @ SV67 @ SV266 )
= ( ti @ SV67 @ SV318 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV67 @ bool @ ( hAPP @ SV67 @ ( fun @ SV67 @ bool ) @ ( ord_less @ SV67 ) @ SV266 ) @ SV318 ) )
= $false )
| ( ( linorder @ SV67 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1485]) ).
thf(1543,plain,
! [SV318: $i,SV266: $i,SV67: $i] :
( ( ( ( ti @ SV67 @ SV266 )
= ( ti @ SV67 @ SV318 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV67 @ bool @ ( hAPP @ SV67 @ ( fun @ SV67 @ bool ) @ ( ord_less @ SV67 ) @ SV318 ) @ SV266 ) )
= $false )
| ( ( linorder @ SV67 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1486]) ).
thf(1544,plain,
! [SV268: $i,SV320: $i,SV165: $i,SV355: $i,SV219: $i,SV69: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ SV69 @ bool ) @ bool @ ( hAPP @ SV69 @ ( fun @ ( fun @ SV69 @ bool ) @ bool ) @ ( member @ SV69 ) @ SV219 ) @ SV355 ) )
= $false )
| ( ( ~ ( ~ ( ( ( hAPP @ SV69 @ SV165 @ SV320 @ SV268 )
!= ( hAPP @ SV69 @ SV165 @ SV320 @ SV219 ) )
| ( ( ti @ SV69 @ SV268 )
= ( ti @ SV69 @ SV219 ) ) )
| ~ ( ( ( ti @ SV69 @ SV268 )
!= ( ti @ SV69 @ SV219 ) )
| ( ( hAPP @ SV69 @ SV165 @ SV320 @ SV268 )
= ( hAPP @ SV69 @ SV165 @ SV320 @ SV219 ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV69 @ bool ) @ bool @ ( hAPP @ SV69 @ ( fun @ ( fun @ SV69 @ bool ) @ bool ) @ ( member @ SV69 ) @ SV268 ) @ SV355 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV69 @ bool ) @ bool @ ( hAPP @ ( fun @ SV69 @ SV165 ) @ ( fun @ ( fun @ SV69 @ bool ) @ bool ) @ ( inj_on @ SV69 @ SV165 ) @ SV320 ) @ SV355 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1487]) ).
thf(1545,plain,
! [SV75: $i] :
( ( ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1489]) ).
thf(1546,plain,
! [SV75: $i] :
( ( ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1490]) ).
thf(1547,plain,
! [SV75: $i] :
( ( ( ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1490]) ).
thf(1548,plain,
! [SV75: $i] :
( ( ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1491]) ).
thf(1549,plain,
! [SV75: $i] :
( ( ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) )
= $false )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1492]) ).
thf(1550,plain,
! [SV75: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) )
= $false )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1492]) ).
thf(1551,plain,
! [SV356: $i,SV221: $i,SV273: $i,SV324: $i,SV168: $i,SV77: $i] :
( ( ( ( hAPP @ SV77 @ SV168 @ SV324 @ SV273 )
= ( ti @ SV168 @ SV221 ) )
= $false )
| ( ( ( hAPP @ SV168 @ SV77 @ ( hAPP @ ( fun @ SV77 @ SV168 ) @ ( fun @ SV168 @ SV77 ) @ ( hAPP @ ( fun @ SV77 @ bool ) @ ( fun @ ( fun @ SV77 @ SV168 ) @ ( fun @ SV168 @ SV77 ) ) @ ( hilbert_inv_into @ SV77 @ SV168 ) @ SV356 ) @ SV324 ) @ SV221 )
= ( ti @ SV77 @ SV273 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV77 @ bool ) @ bool @ ( hAPP @ SV77 @ ( fun @ ( fun @ SV77 @ bool ) @ bool ) @ ( member @ SV77 ) @ SV273 ) @ SV356 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV77 @ bool ) @ bool @ ( hAPP @ ( fun @ SV77 @ SV168 ) @ ( fun @ ( fun @ SV77 @ bool ) @ bool ) @ ( inj_on @ SV77 @ SV168 ) @ SV324 ) @ SV356 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1493]) ).
thf(1552,plain,
! [SV325: $i,SV172: $i,SV275: $i,SV357: $i,SV225: $i,SV81: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV81 @ bool ) @ bool @ ( hAPP @ SV81 @ ( fun @ ( fun @ SV81 @ bool ) @ bool ) @ ( member @ SV81 ) @ SV225 ) @ SV357 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV81 @ bool ) @ bool @ ( hAPP @ SV81 @ ( fun @ ( fun @ SV81 @ bool ) @ bool ) @ ( member @ SV81 ) @ SV275 ) @ SV357 ) )
| ( ( hAPP @ SV81 @ SV172 @ SV325 @ SV225 )
!= ( hAPP @ SV81 @ SV172 @ SV325 @ SV275 ) ) )
= $true )
| ( ( ( ti @ SV81 @ SV225 )
= ( ti @ SV81 @ SV275 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV81 @ bool ) @ bool @ ( hAPP @ ( fun @ SV81 @ SV172 ) @ ( fun @ ( fun @ SV81 @ bool ) @ bool ) @ ( inj_on @ SV81 @ SV172 ) @ SV325 ) @ SV357 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1494]) ).
thf(1553,plain,
! [SV226: $i,SV82: $i,SV276: $i,SV173: $i] :
( ( ( ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV173 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV173 ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ SV226 ) @ SV276 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1495]) ).
thf(1554,plain,
! [SV226: $i,SV173: $i,SV276: $i,SV82: $i] :
( ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ SV226 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ SV226 ) @ SV276 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1496]) ).
thf(1555,plain,
! [SV226: $i,SV82: $i,SV276: $i,SV173: $i] :
( ( ( ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV173 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV173 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ SV226 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ SV226 ) @ SV276 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1497]) ).
thf(1556,plain,
! [SV84: $i,SV175: $i,SV358: $i,SV326: $i,SV277: $i,SV228: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV228 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
!= ( ti @ arrow_1212486748le_alt @ SV277 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV358 )
!= ( ti @ arrow_1212486748le_alt @ SV228 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV175 ) @ arrow_1834574746e_Prof ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV84 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY1049: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ SY1049 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ SY1049 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ SY1049 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ SY1049 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) ) ) ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV358 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1498]) ).
thf(1557,plain,
! [SV89: $i,SV366: $i,SV370: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV370 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ! [SY1079: $i,SY1080: $i] :
( ~ ! [SY1081: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1079 ) @ SY1080 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV366 @ SY1081 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1079 ) @ SY1080 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV370 @ SY1081 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1079 ) @ SY1080 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV370 @ SY1081 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1079 ) @ SY1080 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV366 @ SY1081 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1079 ) @ SY1080 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1079 ) @ SY1080 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1079 ) @ SY1080 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SY1079 ) @ SY1080 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV366 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1500]) ).
thf(1558,plain,
! [SV89: $i] :
( ( ( ~ ! [SY1088: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( sK6_SY617 @ SV89 ) @ SY1088 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( sK12_SY1063 @ SV89 ) @ SY1088 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( sK12_SY1063 @ SV89 ) @ SY1088 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( sK6_SY617 @ SV89 ) @ SY1088 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ ( sK6_SY617 @ SV89 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ ( sK12_SY1063 @ SV89 ) ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ ( sK12_SY1063 @ SV89 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ ( sK6_SY617 @ SV89 ) ) ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1502]) ).
thf(1559,plain,
! [SV230: $i,SV179: $i,SV281: $i,SV372: $i,SV93: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ SV93 @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( member @ SV93 ) @ SV372 ) @ SV281 ) )
= $false )
| ( ( ! [SY1083: $i] :
( ~ ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ SV93 @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( member @ SV93 ) @ SY1083 ) @ SV281 ) )
| ( ( hAPP @ SV93 @ SV179 @ SV230 @ SV372 )
!= ( hAPP @ SV93 @ SV179 @ SV230 @ SY1083 ) )
| ( ( ti @ SV93 @ SV372 )
= ( ti @ SV93 @ SY1083 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ ( fun @ SV93 @ SV179 ) @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( inj_on @ SV93 @ SV179 ) @ SV230 ) @ SV281 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1505]) ).
thf(1560,plain,
! [SV281: $i,SV179: $i,SV230: $i,SV93: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ SV93 @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( member @ SV93 ) @ ( sK19_SY999 @ SV230 @ SV179 @ SV281 @ SV93 ) ) @ SV281 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ ( fun @ SV93 @ SV179 ) @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( inj_on @ SV93 @ SV179 ) @ SV230 ) @ SV281 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1506]) ).
thf(1561,plain,
! [SV281: $i,SV179: $i,SV230: $i,SV93: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ SV93 @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( member @ SV93 ) @ ( sK23_SY1084 @ SV230 @ SV179 @ SV281 @ SV93 ) ) @ SV281 ) )
| ( ( hAPP @ SV93 @ SV179 @ SV230 @ ( sK19_SY999 @ SV230 @ SV179 @ SV281 @ SV93 ) )
!= ( hAPP @ SV93 @ SV179 @ SV230 @ ( sK23_SY1084 @ SV230 @ SV179 @ SV281 @ SV93 ) ) )
| ( ( ti @ SV93 @ ( sK19_SY999 @ SV230 @ SV179 @ SV281 @ SV93 ) )
= ( ti @ SV93 @ ( sK23_SY1084 @ SV230 @ SV179 @ SV281 @ SV93 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ ( fun @ SV93 @ SV179 ) @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( inj_on @ SV93 @ SV179 ) @ SV230 ) @ SV281 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1507]) ).
thf(1562,plain,
! [SV232: $i,SV181: $i,SV97: $i] :
( ( ( ~ ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV97 ) @ SV181 ) ) @ SV232 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV181 ) @ SV97 ) ) @ SV232 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV97 )
= ( ti @ arrow_1212486748le_alt @ SV181 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV232 ) @ arrow_638930832le_Lin ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1508]) ).
thf(1563,plain,
! [SV232: $i,SV97: $i,SV181: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV181 ) @ SV97 ) ) @ SV232 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV97 ) @ SV181 ) ) @ SV232 ) ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV97 )
= ( ti @ arrow_1212486748le_alt @ SV181 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV232 ) @ arrow_638930832le_Lin ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1509]) ).
thf(1564,plain,
! [SV284: $i,SV331: $i,SV98: $i] :
( ( ( ~ ~ ( hBOOL @ ( hAPP @ SV98 @ bool @ ( hAPP @ SV98 @ ( fun @ SV98 @ bool ) @ ( ord_less @ SV98 ) @ SV331 ) @ SV284 ) ) )
= $true )
| ( ( ( ti @ SV98 @ SV331 )
= ( ti @ SV98 @ SV284 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV98 @ bool @ ( hAPP @ SV98 @ ( fun @ SV98 @ bool ) @ ( ord_less @ SV98 ) @ SV284 ) @ SV331 ) )
= $true )
| ( ( linorder @ SV98 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1510]) ).
thf(1565,plain,
! [SV284: $i,SV331: $i,SV98: $i] :
( ( ( ( ti @ SV98 @ SV331 )
!= ( ti @ SV98 @ SV284 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV98 @ bool @ ( hAPP @ SV98 @ ( fun @ SV98 @ bool ) @ ( ord_less @ SV98 ) @ SV331 ) @ SV284 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV98 @ bool @ ( hAPP @ SV98 @ ( fun @ SV98 @ bool ) @ ( ord_less @ SV98 ) @ SV284 ) @ SV331 ) )
= $true )
| ( ( linorder @ SV98 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1511]) ).
thf(1566,plain,
! [SV100: $i] :
( ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) )
= $true )
| ( ( ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1513]) ).
thf(1567,plain,
! [SV100: $i] :
( ( ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1514]) ).
thf(1568,plain,
! [SV100: $i] :
( ( ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1515]) ).
thf(1569,plain,
! [SV100: $i] :
( ( ( ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1515]) ).
thf(1570,plain,
! [SV234: $i,SV183: $i,SV285: $i,SV101: $i] :
( ( ( ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV101 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV101 )
!= ( ti @ arrow_1212486748le_alt @ SV183 ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ SV234 ) @ SV285 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1516]) ).
thf(1571,plain,
! [SV234: $i,SV101: $i,SV285: $i,SV183: $i] :
( ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ SV234 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ SV234 ) @ SV285 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1517]) ).
thf(1572,plain,
! [SV234: $i,SV183: $i,SV285: $i,SV101: $i] :
( ( ( ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV101 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV101 )
!= ( ti @ arrow_1212486748le_alt @ SV183 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ SV234 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ SV234 ) @ SV285 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1518]) ).
thf(1573,plain,
! [SV287: $i,SV333: $i,SV103: $i] :
( ( ( hBOOL @ ( hAPP @ SV103 @ bool @ ( hAPP @ SV103 @ ( fun @ SV103 @ bool ) @ ( ord_less @ SV103 ) @ SV333 ) @ SV287 ) )
= $true )
| ( ( ( ti @ SV103 @ SV287 )
= ( ti @ SV103 @ SV333 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV103 @ bool @ ( hAPP @ SV103 @ ( fun @ SV103 @ bool ) @ ( ord_less @ SV103 ) @ SV287 ) @ SV333 ) )
= $true )
| ( ( linorder @ SV103 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1519]) ).
thf(1574,plain,
! [SV333: $i,SV287: $i,SV103: $i] :
( ( ( hBOOL @ ( hAPP @ SV103 @ bool @ ( hAPP @ SV103 @ ( fun @ SV103 @ bool ) @ ( ord_less @ SV103 ) @ SV287 ) @ SV333 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV103 @ bool @ ( hAPP @ SV103 @ ( fun @ SV103 @ bool ) @ ( ord_less @ SV103 ) @ SV333 ) @ SV287 ) )
= $false )
| ( ( linorder @ SV103 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1520]) ).
thf(1575,plain,
! [SV333: $i,SV287: $i,SV103: $i] :
( ( ( hBOOL @ ( hAPP @ SV103 @ bool @ ( hAPP @ SV103 @ ( fun @ SV103 @ bool ) @ ( ord_less @ SV103 ) @ SV287 ) @ SV333 ) )
= $false )
| ( ( ( ti @ SV103 @ SV287 )
= ( ti @ SV103 @ SV333 ) )
= $false )
| ( ( linorder @ SV103 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1521]) ).
thf(1576,plain,
! [SV104: $i,SV184: $i,SV362: $i,SV334: $i,SV288: $i,SV235: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV235 )
= ( ti @ arrow_1212486748le_alt @ SV288 ) )
= $true )
| ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
!= ( ti @ arrow_1212486748le_alt @ SV288 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV362 )
!= ( ti @ arrow_1212486748le_alt @ SV235 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV184 ) @ arrow_1834574746e_Prof ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV104 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY1050: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV184 @ SY1050 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV104 @ SY1050 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV104 @ SY1050 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV184 @ SY1050 ) ) ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV184 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV104 ) ) ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
= ( ti @ arrow_1212486748le_alt @ SV362 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1522]) ).
thf(1577,plain,
! [SV336: $i,SV106: $i,SV185: $i,SV236: $i,SV290: $i] :
( ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
!= ( ti @ arrow_1212486748le_alt @ SV236 ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV185 ) @ arrow_1834574746e_Prof ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV106 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY1044: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ SY1044 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ SY1044 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ SY1044 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ SY1044 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) ) ) ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV336 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV336 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1523]) ).
thf(1578,plain,
! [SV338: $i,SV187: $i,SV292: $i,SV363: $i,SV237: $i,SV109: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ SV109 @ bool ) @ bool @ ( hAPP @ SV109 @ ( fun @ ( fun @ SV109 @ bool ) @ bool ) @ ( member @ SV109 ) @ SV237 ) @ SV363 ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV109 @ bool ) @ bool @ ( hAPP @ SV109 @ ( fun @ ( fun @ SV109 @ bool ) @ bool ) @ ( member @ SV109 ) @ SV292 ) @ SV363 ) )
| ( ( ti @ SV109 @ SV237 )
= ( ti @ SV109 @ SV292 ) ) )
= $true )
| ( ( ( hAPP @ SV109 @ SV187 @ SV338 @ SV237 )
= ( hAPP @ SV109 @ SV187 @ SV338 @ SV292 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV109 @ bool ) @ bool @ ( hAPP @ ( fun @ SV109 @ SV187 ) @ ( fun @ ( fun @ SV109 @ bool ) @ bool ) @ ( inj_on @ SV109 @ SV187 ) @ SV338 ) @ SV363 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1524]) ).
thf(1579,plain,
! [SV43: $i,SV365: $i,SV373: $i,SV368: $i] :
( ( ( ! [SY1085: $i] : ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV368 ) @ SV373 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV365 @ SY1085 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV368 ) @ SV373 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV43 @ SV365 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV365 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_1932713123nimity @ SV43 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1525]) ).
thf(1580,plain,
! [SV377: $i,SV43: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK9_SY1054 @ SV43 ) ) @ ( sK15_SY1067 @ SV43 ) ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( sK3_SY466 @ SV43 ) @ SV377 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_1932713123nimity @ SV43 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1526]) ).
thf(1581,plain,
! [SV348: $i,SV251: $i,SV48: $i,SV305: $i,SV209: $i,SV152: $i] :
( ( ( ( ti @ SV152 @ SV209 )
!= ( ti @ SV152 @ SV305 ) )
= $false )
| ( ( ( hAPP @ SV48 @ ( product_prod @ SV152 @ SV48 ) @ ( hAPP @ SV152 @ ( fun @ SV48 @ ( product_prod @ SV152 @ SV48 ) ) @ ( product_Pair @ SV152 @ SV48 ) @ SV209 ) @ SV251 )
= ( hAPP @ SV48 @ ( product_prod @ SV152 @ SV48 ) @ ( hAPP @ SV152 @ ( fun @ SV48 @ ( product_prod @ SV152 @ SV48 ) ) @ ( product_Pair @ SV152 @ SV48 ) @ SV305 ) @ SV348 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1528]) ).
thf(1582,plain,
! [SV305: $i,SV209: $i,SV152: $i,SV348: $i,SV251: $i,SV48: $i] :
( ( ( ( ti @ SV48 @ SV251 )
!= ( ti @ SV48 @ SV348 ) )
= $false )
| ( ( ( hAPP @ SV48 @ ( product_prod @ SV152 @ SV48 ) @ ( hAPP @ SV152 @ ( fun @ SV48 @ ( product_prod @ SV152 @ SV48 ) ) @ ( product_Pair @ SV152 @ SV48 ) @ SV209 ) @ SV251 )
= ( hAPP @ SV48 @ ( product_prod @ SV152 @ SV48 ) @ ( hAPP @ SV152 @ ( fun @ SV48 @ ( product_prod @ SV152 @ SV48 ) ) @ ( product_Pair @ SV152 @ SV48 ) @ SV305 ) @ SV348 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1528]) ).
thf(1583,plain,
! [SV348: $i,SV251: $i,SV48: $i,SV305: $i,SV209: $i,SV152: $i] :
( ( ( ( ti @ SV152 @ SV209 )
!= ( ti @ SV152 @ SV305 ) )
= $true )
| ( ( ( ti @ SV48 @ SV251 )
!= ( ti @ SV48 @ SV348 ) )
= $true )
| ( ( ( hAPP @ SV48 @ ( product_prod @ SV152 @ SV48 ) @ ( hAPP @ SV152 @ ( fun @ SV48 @ ( product_prod @ SV152 @ SV48 ) ) @ ( product_Pair @ SV152 @ SV48 ) @ SV209 ) @ SV251 )
= ( hAPP @ SV48 @ ( product_prod @ SV152 @ SV48 ) @ ( hAPP @ SV152 @ ( fun @ SV48 @ ( product_prod @ SV152 @ SV48 ) ) @ ( product_Pair @ SV152 @ SV48 ) @ SV305 ) @ SV348 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1529]) ).
thf(1584,plain,
! [SV153: $i,SV49: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ ( sK10_SY1057 @ SV49 @ SV153 ) )
= ( ti @ arrow_1212486748le_alt @ ( sK16_SY1069 @ SV153 @ SV49 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ arrow_1384031255e_indi @ bool @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ bool ) @ arrow_1990387629ctator @ SV153 ) @ SV49 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV153 ) @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) ) @ ( pi @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1834574746e_Prof ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( combk @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_638930832le_Lin ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1530]) ).
thf(1585,plain,
! [SV153: $i,SV49: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK10_SY1057 @ SV49 @ SV153 ) ) @ ( sK16_SY1069 @ SV153 @ SV49 ) ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( sK4_SY740 @ SV153 @ SV49 ) @ SV49 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ arrow_1384031255e_indi @ bool @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ arrow_1384031255e_indi @ bool ) @ arrow_1990387629ctator @ SV153 ) @ SV49 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV153 ) @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) ) @ ( pi @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_1834574746e_Prof ) @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) ) @ ( combk @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_638930832le_Lin ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1531]) ).
thf(1586,plain,
! [SV252: $i,SV210: $i,SV154: $i,SV50: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ ( sK17_SY954 @ SV210 @ SV252 @ SV154 @ SV50 ) ) @ ( sK20_SY1077 @ SV252 @ SV210 @ SV154 @ SV50 ) ) ) @ SV252 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ ( sK17_SY954 @ SV210 @ SV252 @ SV154 @ SV50 ) ) @ ( sK20_SY1077 @ SV252 @ SV210 @ SV154 @ SV50 ) ) ) @ SV210 ) ) ) )
= $true )
| ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ ( sK17_SY954 @ SV210 @ SV252 @ SV154 @ SV50 ) ) @ ( sK20_SY1077 @ SV252 @ SV210 @ SV154 @ SV50 ) ) ) @ SV210 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ ( sK17_SY954 @ SV210 @ SV252 @ SV154 @ SV50 ) ) @ ( sK20_SY1077 @ SV252 @ SV210 @ SV154 @ SV50 ) ) ) @ SV252 ) ) ) )
= $true )
| ( ( ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV252 )
= ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV210 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1533]) ).
thf(1587,plain,
! [SV210: $i,SV252: $i,SV374: $i,SV369: $i,SV154: $i,SV50: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SV369 ) @ SV374 ) ) @ SV252 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SV369 ) @ SV374 ) ) @ SV210 ) ) ) )
= $false )
| ( ( ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV252 )
= ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV210 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1534]) ).
thf(1588,plain,
! [SV252: $i,SV210: $i,SV374: $i,SV369: $i,SV154: $i,SV50: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SV369 ) @ SV374 ) ) @ SV210 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SV369 ) @ SV374 ) ) @ SV252 ) ) ) )
= $false )
| ( ( ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV252 )
= ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV210 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1534]) ).
thf(1589,plain,
! [SV306: $i,SV253: $i,SV211: $i,SV155: $i,SV51: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
| ~ ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV155 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV253 ) @ SV155 ) ) @ SV211 ) ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV253 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV253 ) ) @ SV211 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1535]) ).
thf(1590,plain,
! [SV211: $i,SV253: $i,SV306: $i,SV155: $i,SV51: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV155 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV253 ) @ SV155 ) ) @ SV211 ) ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV253 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV253 ) ) @ SV211 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) ) ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1536]) ).
thf(1591,plain,
! [SV256: $i,SV214: $i,SV350: $i,SV309: $i,SV54: $i,SV158: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV158 ) @ arrow_1834574746e_Prof ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV54 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY1047: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ SY1047 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ SY1047 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ SY1047 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ SY1047 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) ) ) ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV214 )
= ( ti @ arrow_1212486748le_alt @ SV256 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV309 )
= ( ti @ arrow_1212486748le_alt @ SV350 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1539]) ).
thf(1592,plain,
! [SV59: $i,SV160: $i,SV260: $i,SV216: $i] :
( ( ( ! [SY968: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ SY968 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ SY968 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ SY968 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ SY968 ) ) ) ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV59 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV160 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV216 )
= ( ti @ arrow_1212486748le_alt @ SV260 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1540]) ).
thf(1593,plain,
! [SV355: $i,SV219: $i,SV268: $i,SV320: $i,SV165: $i,SV69: $i] :
( ( ( ~ ( ( ( hAPP @ SV69 @ SV165 @ SV320 @ SV268 )
!= ( hAPP @ SV69 @ SV165 @ SV320 @ SV219 ) )
| ( ( ti @ SV69 @ SV268 )
= ( ti @ SV69 @ SV219 ) ) )
| ~ ( ( ( ti @ SV69 @ SV268 )
!= ( ti @ SV69 @ SV219 ) )
| ( ( hAPP @ SV69 @ SV165 @ SV320 @ SV268 )
= ( hAPP @ SV69 @ SV165 @ SV320 @ SV219 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV69 @ bool ) @ bool @ ( hAPP @ SV69 @ ( fun @ ( fun @ SV69 @ bool ) @ bool ) @ ( member @ SV69 ) @ SV219 ) @ SV355 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV69 @ bool ) @ bool @ ( hAPP @ SV69 @ ( fun @ ( fun @ SV69 @ bool ) @ bool ) @ ( member @ SV69 ) @ SV268 ) @ SV355 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV69 @ bool ) @ bool @ ( hAPP @ ( fun @ SV69 @ SV165 ) @ ( fun @ ( fun @ SV69 @ bool ) @ bool ) @ ( inj_on @ SV69 @ SV165 ) @ SV320 ) @ SV355 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1544]) ).
thf(1594,plain,
! [SV75: $i] :
( ( ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1545]) ).
thf(1595,plain,
! [SV75: $i] :
( ( ( ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1545]) ).
thf(1596,plain,
! [SV75: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1546]) ).
thf(1597,plain,
! [SV75: $i] :
( ( ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1547]) ).
thf(1598,plain,
! [SV75: $i] :
( ( ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1548]) ).
thf(1599,plain,
! [SV75: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1548]) ).
thf(1600,plain,
! [SV75: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) )
= $false )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1549]) ).
thf(1601,plain,
! [SV75: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1550]) ).
thf(1602,plain,
! [SV325: $i,SV172: $i,SV275: $i,SV357: $i,SV225: $i,SV81: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ SV81 @ bool ) @ bool @ ( hAPP @ SV81 @ ( fun @ ( fun @ SV81 @ bool ) @ bool ) @ ( member @ SV81 ) @ SV225 ) @ SV357 ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV81 @ bool ) @ bool @ ( hAPP @ SV81 @ ( fun @ ( fun @ SV81 @ bool ) @ bool ) @ ( member @ SV81 ) @ SV275 ) @ SV357 ) )
| ( ( hAPP @ SV81 @ SV172 @ SV325 @ SV225 )
!= ( hAPP @ SV81 @ SV172 @ SV325 @ SV275 ) ) )
= $true )
| ( ( ( ti @ SV81 @ SV225 )
= ( ti @ SV81 @ SV275 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV81 @ bool ) @ bool @ ( hAPP @ ( fun @ SV81 @ SV172 ) @ ( fun @ ( fun @ SV81 @ bool ) @ bool ) @ ( inj_on @ SV81 @ SV172 ) @ SV325 ) @ SV357 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1552]) ).
thf(1603,plain,
! [SV226: $i,SV82: $i,SV276: $i,SV173: $i] :
( ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV173 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV173 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ SV226 ) @ SV276 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1553]) ).
thf(1604,plain,
! [SV226: $i,SV173: $i,SV276: $i,SV82: $i] :
( ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ SV226 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ SV226 ) @ SV276 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1554]) ).
thf(1605,plain,
! [SV226: $i,SV82: $i,SV276: $i,SV173: $i] :
( ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV173 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV173 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ SV226 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ SV226 ) @ SV276 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1555]) ).
thf(1606,plain,
! [SV84: $i,SV175: $i,SV228: $i,SV358: $i,SV277: $i,SV326: $i] :
( ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
!= ( ti @ arrow_1212486748le_alt @ SV277 ) ) ) )
= $true )
| ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV358 )
!= ( ti @ arrow_1212486748le_alt @ SV228 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV175 ) @ arrow_1834574746e_Prof ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV84 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY1049: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ SY1049 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ SY1049 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ SY1049 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ SY1049 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) ) ) ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV228 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV358 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1556]) ).
thf(1607,plain,
! [SV89: $i,SV370: $i,SV366: $i,SV378: $i] :
( ( ( ! [SY1089: $i] :
( ~ ! [SY1090: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SY1089 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV366 @ SY1090 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SY1089 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV370 @ SY1090 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SY1089 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV370 @ SY1090 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SY1089 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV366 @ SY1090 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SY1089 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SY1089 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SY1089 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SY1089 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV370 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV366 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1557]) ).
thf(1608,plain,
! [SV89: $i] :
( ( ( ~ ! [SY1088: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( sK6_SY617 @ SV89 ) @ SY1088 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( sK12_SY1063 @ SV89 ) @ SY1088 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( sK12_SY1063 @ SV89 ) @ SY1088 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( sK6_SY617 @ SV89 ) @ SY1088 ) ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1558]) ).
thf(1609,plain,
! [SV89: $i] :
( ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ ( sK6_SY617 @ SV89 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ ( sK12_SY1063 @ SV89 ) ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ ( sK12_SY1063 @ SV89 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ ( sK6_SY617 @ SV89 ) ) ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1558]) ).
thf(1610,plain,
! [SV372: $i,SV230: $i,SV179: $i,SV281: $i,SV379: $i,SV93: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ SV93 @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( member @ SV93 ) @ SV379 ) @ SV281 ) )
| ( ( hAPP @ SV93 @ SV179 @ SV230 @ SV372 )
!= ( hAPP @ SV93 @ SV179 @ SV230 @ SV379 ) )
| ( ( ti @ SV93 @ SV372 )
= ( ti @ SV93 @ SV379 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ SV93 @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( member @ SV93 ) @ SV372 ) @ SV281 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ ( fun @ SV93 @ SV179 ) @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( inj_on @ SV93 @ SV179 ) @ SV230 ) @ SV281 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1559]) ).
thf(1611,plain,
! [SV281: $i,SV179: $i,SV230: $i,SV93: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ SV93 @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( member @ SV93 ) @ ( sK23_SY1084 @ SV230 @ SV179 @ SV281 @ SV93 ) ) @ SV281 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ ( fun @ SV93 @ SV179 ) @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( inj_on @ SV93 @ SV179 ) @ SV230 ) @ SV281 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1561]) ).
thf(1612,plain,
! [SV281: $i,SV230: $i,SV179: $i,SV93: $i] :
( ( ( ( ( hAPP @ SV93 @ SV179 @ SV230 @ ( sK19_SY999 @ SV230 @ SV179 @ SV281 @ SV93 ) )
!= ( hAPP @ SV93 @ SV179 @ SV230 @ ( sK23_SY1084 @ SV230 @ SV179 @ SV281 @ SV93 ) ) )
| ( ( ti @ SV93 @ ( sK19_SY999 @ SV230 @ SV179 @ SV281 @ SV93 ) )
= ( ti @ SV93 @ ( sK23_SY1084 @ SV230 @ SV179 @ SV281 @ SV93 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ ( fun @ SV93 @ SV179 ) @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( inj_on @ SV93 @ SV179 ) @ SV230 ) @ SV281 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1561]) ).
thf(1613,plain,
! [SV232: $i,SV181: $i,SV97: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV97 ) @ SV181 ) ) @ SV232 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV181 ) @ SV97 ) ) @ SV232 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV97 )
= ( ti @ arrow_1212486748le_alt @ SV181 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV232 ) @ arrow_638930832le_Lin ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1562]) ).
thf(1614,plain,
! [SV232: $i,SV97: $i,SV181: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV181 ) @ SV97 ) ) @ SV232 ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV97 ) @ SV181 ) ) @ SV232 ) ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV97 )
= ( ti @ arrow_1212486748le_alt @ SV181 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV232 ) @ arrow_638930832le_Lin ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1563]) ).
thf(1615,plain,
! [SV284: $i,SV331: $i,SV98: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV98 @ bool @ ( hAPP @ SV98 @ ( fun @ SV98 @ bool ) @ ( ord_less @ SV98 ) @ SV331 ) @ SV284 ) ) )
= $false )
| ( ( ( ti @ SV98 @ SV331 )
= ( ti @ SV98 @ SV284 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV98 @ bool @ ( hAPP @ SV98 @ ( fun @ SV98 @ bool ) @ ( ord_less @ SV98 ) @ SV284 ) @ SV331 ) )
= $true )
| ( ( linorder @ SV98 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1564]) ).
thf(1616,plain,
! [SV284: $i,SV331: $i,SV98: $i] :
( ( ( ( ti @ SV98 @ SV331 )
= ( ti @ SV98 @ SV284 ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ SV98 @ bool @ ( hAPP @ SV98 @ ( fun @ SV98 @ bool ) @ ( ord_less @ SV98 ) @ SV331 ) @ SV284 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV98 @ bool @ ( hAPP @ SV98 @ ( fun @ SV98 @ bool ) @ ( ord_less @ SV98 ) @ SV284 ) @ SV331 ) )
= $true )
| ( ( linorder @ SV98 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1565]) ).
thf(1617,plain,
! [SV100: $i] :
( ( ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1566]) ).
thf(1618,plain,
! [SV100: $i] :
( ( ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1567]) ).
thf(1619,plain,
! [SV100: $i] :
( ( ( ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1567]) ).
thf(1620,plain,
! [SV100: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1568]) ).
thf(1621,plain,
! [SV100: $i] :
( ( ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1569]) ).
thf(1622,plain,
! [SV234: $i,SV183: $i,SV285: $i,SV101: $i] :
( ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV101 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV101 )
!= ( ti @ arrow_1212486748le_alt @ SV183 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ SV234 ) @ SV285 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1570]) ).
thf(1623,plain,
! [SV234: $i,SV101: $i,SV285: $i,SV183: $i] :
( ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ SV234 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ SV234 ) @ SV285 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1571]) ).
thf(1624,plain,
! [SV234: $i,SV183: $i,SV285: $i,SV101: $i] :
( ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV101 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV101 )
!= ( ti @ arrow_1212486748le_alt @ SV183 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ SV234 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ SV234 ) @ SV285 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1572]) ).
thf(1625,plain,
! [SV104: $i,SV184: $i,SV235: $i,SV362: $i,SV288: $i,SV334: $i] :
( ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
!= ( ti @ arrow_1212486748le_alt @ SV288 ) ) ) )
= $true )
| ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV362 )
!= ( ti @ arrow_1212486748le_alt @ SV235 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV184 ) @ arrow_1834574746e_Prof ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV104 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY1050: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV184 @ SY1050 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV104 @ SY1050 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV104 @ SY1050 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV184 @ SY1050 ) ) ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV184 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV104 ) ) ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV235 )
= ( ti @ arrow_1212486748le_alt @ SV288 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
= ( ti @ arrow_1212486748le_alt @ SV362 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1576]) ).
thf(1626,plain,
! [SV336: $i,SV106: $i,SV185: $i,SV236: $i,SV290: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
!= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV185 ) @ arrow_1834574746e_Prof ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV106 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY1044: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ SY1044 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ SY1044 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ SY1044 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ SY1044 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) ) ) ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV336 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV336 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1577]) ).
thf(1627,plain,
! [SV338: $i,SV187: $i,SV237: $i,SV363: $i,SV292: $i,SV109: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV109 @ bool ) @ bool @ ( hAPP @ SV109 @ ( fun @ ( fun @ SV109 @ bool ) @ bool ) @ ( member @ SV109 ) @ SV292 ) @ SV363 ) ) )
= $true )
| ( ( ( ti @ SV109 @ SV237 )
= ( ti @ SV109 @ SV292 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV109 @ bool ) @ bool @ ( hAPP @ SV109 @ ( fun @ ( fun @ SV109 @ bool ) @ bool ) @ ( member @ SV109 ) @ SV237 ) @ SV363 ) )
= $false )
| ( ( ( hAPP @ SV109 @ SV187 @ SV338 @ SV237 )
= ( hAPP @ SV109 @ SV187 @ SV338 @ SV292 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV109 @ bool ) @ bool @ ( hAPP @ ( fun @ SV109 @ SV187 ) @ ( fun @ ( fun @ SV109 @ bool ) @ bool ) @ ( inj_on @ SV109 @ SV187 ) @ SV338 ) @ SV363 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1578]) ).
thf(1628,plain,
! [SV43: $i,SV365: $i,SV373: $i,SV368: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV368 ) @ SV373 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV365 @ ( sK24_SY1085 @ SV43 @ SV365 @ SV373 @ SV368 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV368 ) @ SV373 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV43 @ SV365 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV365 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_1932713123nimity @ SV43 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1579]) ).
thf(1629,plain,
! [SV348: $i,SV251: $i,SV48: $i,SV305: $i,SV209: $i,SV152: $i] :
( ( ( ( ti @ SV152 @ SV209 )
= ( ti @ SV152 @ SV305 ) )
= $true )
| ( ( ( hAPP @ SV48 @ ( product_prod @ SV152 @ SV48 ) @ ( hAPP @ SV152 @ ( fun @ SV48 @ ( product_prod @ SV152 @ SV48 ) ) @ ( product_Pair @ SV152 @ SV48 ) @ SV209 ) @ SV251 )
= ( hAPP @ SV48 @ ( product_prod @ SV152 @ SV48 ) @ ( hAPP @ SV152 @ ( fun @ SV48 @ ( product_prod @ SV152 @ SV48 ) ) @ ( product_Pair @ SV152 @ SV48 ) @ SV305 ) @ SV348 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1581]) ).
thf(1630,plain,
! [SV305: $i,SV209: $i,SV152: $i,SV348: $i,SV251: $i,SV48: $i] :
( ( ( ( ti @ SV48 @ SV251 )
= ( ti @ SV48 @ SV348 ) )
= $true )
| ( ( ( hAPP @ SV48 @ ( product_prod @ SV152 @ SV48 ) @ ( hAPP @ SV152 @ ( fun @ SV48 @ ( product_prod @ SV152 @ SV48 ) ) @ ( product_Pair @ SV152 @ SV48 ) @ SV209 ) @ SV251 )
= ( hAPP @ SV48 @ ( product_prod @ SV152 @ SV48 ) @ ( hAPP @ SV152 @ ( fun @ SV48 @ ( product_prod @ SV152 @ SV48 ) ) @ ( product_Pair @ SV152 @ SV48 ) @ SV305 ) @ SV348 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1582]) ).
thf(1631,plain,
! [SV348: $i,SV251: $i,SV48: $i,SV305: $i,SV209: $i,SV152: $i] :
( ( ( ( ti @ SV152 @ SV209 )
= ( ti @ SV152 @ SV305 ) )
= $false )
| ( ( ( ti @ SV48 @ SV251 )
!= ( ti @ SV48 @ SV348 ) )
= $true )
| ( ( ( hAPP @ SV48 @ ( product_prod @ SV152 @ SV48 ) @ ( hAPP @ SV152 @ ( fun @ SV48 @ ( product_prod @ SV152 @ SV48 ) ) @ ( product_Pair @ SV152 @ SV48 ) @ SV209 ) @ SV251 )
= ( hAPP @ SV48 @ ( product_prod @ SV152 @ SV48 ) @ ( hAPP @ SV152 @ ( fun @ SV48 @ ( product_prod @ SV152 @ SV48 ) ) @ ( product_Pair @ SV152 @ SV48 ) @ SV305 ) @ SV348 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1583]) ).
thf(1632,plain,
! [SV252: $i,SV210: $i,SV154: $i,SV50: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ ( sK17_SY954 @ SV210 @ SV252 @ SV154 @ SV50 ) ) @ ( sK20_SY1077 @ SV252 @ SV210 @ SV154 @ SV50 ) ) ) @ SV252 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ ( sK17_SY954 @ SV210 @ SV252 @ SV154 @ SV50 ) ) @ ( sK20_SY1077 @ SV252 @ SV210 @ SV154 @ SV50 ) ) ) @ SV210 ) ) )
= $false )
| ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ ( sK17_SY954 @ SV210 @ SV252 @ SV154 @ SV50 ) ) @ ( sK20_SY1077 @ SV252 @ SV210 @ SV154 @ SV50 ) ) ) @ SV210 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ ( sK17_SY954 @ SV210 @ SV252 @ SV154 @ SV50 ) ) @ ( sK20_SY1077 @ SV252 @ SV210 @ SV154 @ SV50 ) ) ) @ SV252 ) ) ) )
= $true )
| ( ( ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV252 )
= ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV210 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1586]) ).
thf(1633,plain,
! [SV210: $i,SV252: $i,SV374: $i,SV369: $i,SV154: $i,SV50: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SV369 ) @ SV374 ) ) @ SV252 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SV369 ) @ SV374 ) ) @ SV210 ) ) )
= $true )
| ( ( ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV252 )
= ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV210 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1587]) ).
thf(1634,plain,
! [SV252: $i,SV210: $i,SV374: $i,SV369: $i,SV154: $i,SV50: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SV369 ) @ SV374 ) ) @ SV210 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SV369 ) @ SV374 ) ) @ SV252 ) ) )
= $true )
| ( ( ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV252 )
= ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV210 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1588]) ).
thf(1635,plain,
! [SV306: $i,SV253: $i,SV211: $i,SV155: $i,SV51: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV155 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV253 ) @ SV155 ) ) @ SV211 ) ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV253 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV253 ) ) @ SV211 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1589]) ).
thf(1636,plain,
! [SV211: $i,SV253: $i,SV306: $i,SV155: $i,SV51: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV155 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV253 ) @ SV155 ) ) @ SV211 ) ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV253 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV253 ) ) @ SV211 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1590]) ).
thf(1637,plain,
! [SV256: $i,SV214: $i,SV350: $i,SV309: $i,SV54: $i,SV158: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV158 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV54 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY1047: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ SY1047 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ SY1047 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ SY1047 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ SY1047 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) ) ) ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV214 )
= ( ti @ arrow_1212486748le_alt @ SV256 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV309 )
= ( ti @ arrow_1212486748le_alt @ SV350 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1591]) ).
thf(1638,plain,
! [SV59: $i,SV160: $i,SV260: $i,SV216: $i] :
( ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) ) ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV59 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV160 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV216 )
= ( ti @ arrow_1212486748le_alt @ SV260 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1592]) ).
thf(1639,plain,
! [SV355: $i,SV219: $i,SV268: $i,SV320: $i,SV165: $i,SV69: $i] :
( ( ( ~ ( ( ( hAPP @ SV69 @ SV165 @ SV320 @ SV268 )
!= ( hAPP @ SV69 @ SV165 @ SV320 @ SV219 ) )
| ( ( ti @ SV69 @ SV268 )
= ( ti @ SV69 @ SV219 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV69 @ bool ) @ bool @ ( hAPP @ SV69 @ ( fun @ ( fun @ SV69 @ bool ) @ bool ) @ ( member @ SV69 ) @ SV219 ) @ SV355 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV69 @ bool ) @ bool @ ( hAPP @ SV69 @ ( fun @ ( fun @ SV69 @ bool ) @ bool ) @ ( member @ SV69 ) @ SV268 ) @ SV355 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV69 @ bool ) @ bool @ ( hAPP @ ( fun @ SV69 @ SV165 ) @ ( fun @ ( fun @ SV69 @ bool ) @ bool ) @ ( inj_on @ SV69 @ SV165 ) @ SV320 ) @ SV355 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1593]) ).
thf(1640,plain,
! [SV355: $i,SV320: $i,SV165: $i,SV219: $i,SV268: $i,SV69: $i] :
( ( ( ~ ( ( ( ti @ SV69 @ SV268 )
!= ( ti @ SV69 @ SV219 ) )
| ( ( hAPP @ SV69 @ SV165 @ SV320 @ SV268 )
= ( hAPP @ SV69 @ SV165 @ SV320 @ SV219 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV69 @ bool ) @ bool @ ( hAPP @ SV69 @ ( fun @ ( fun @ SV69 @ bool ) @ bool ) @ ( member @ SV69 ) @ SV219 ) @ SV355 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV69 @ bool ) @ bool @ ( hAPP @ SV69 @ ( fun @ ( fun @ SV69 @ bool ) @ bool ) @ ( member @ SV69 ) @ SV268 ) @ SV355 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV69 @ bool ) @ bool @ ( hAPP @ ( fun @ SV69 @ SV165 ) @ ( fun @ ( fun @ SV69 @ bool ) @ bool ) @ ( inj_on @ SV69 @ SV165 ) @ SV320 ) @ SV355 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1593]) ).
thf(1641,plain,
! [SV75: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1594]) ).
thf(1642,plain,
! [SV75: $i] :
( ( ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1595]) ).
thf(1643,plain,
! [SV75: $i] :
( ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1596]) ).
thf(1644,plain,
! [SV75: $i] :
( ( ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1597]) ).
thf(1645,plain,
! [SV75: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1598]) ).
thf(1646,plain,
! [SV75: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1599]) ).
thf(1647,plain,
! [SV75: $i] :
( ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) )
= $false )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1600]) ).
thf(1648,plain,
! [SV75: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1601]) ).
thf(1649,plain,
! [SV75: $i] :
( ( ( ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1601]) ).
thf(1650,plain,
! [SV225: $i,SV325: $i,SV172: $i,SV357: $i,SV275: $i,SV81: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV81 @ bool ) @ bool @ ( hAPP @ SV81 @ ( fun @ ( fun @ SV81 @ bool ) @ bool ) @ ( member @ SV81 ) @ SV275 ) @ SV357 ) ) )
= $true )
| ( ( ( hAPP @ SV81 @ SV172 @ SV325 @ SV225 )
!= ( hAPP @ SV81 @ SV172 @ SV325 @ SV275 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV81 @ bool ) @ bool @ ( hAPP @ SV81 @ ( fun @ ( fun @ SV81 @ bool ) @ bool ) @ ( member @ SV81 ) @ SV225 ) @ SV357 ) )
= $false )
| ( ( ( ti @ SV81 @ SV225 )
= ( ti @ SV81 @ SV275 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV81 @ bool ) @ bool @ ( hAPP @ ( fun @ SV81 @ SV172 ) @ ( fun @ ( fun @ SV81 @ bool ) @ bool ) @ ( inj_on @ SV81 @ SV172 ) @ SV325 ) @ SV357 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1602]) ).
thf(1651,plain,
! [SV226: $i,SV82: $i,SV276: $i,SV173: $i] :
( ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV173 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ SV226 ) @ SV276 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1603]) ).
thf(1652,plain,
! [SV226: $i,SV173: $i,SV276: $i,SV82: $i] :
( ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV173 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ SV226 ) @ SV276 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1603]) ).
thf(1653,plain,
! [SV226: $i,SV173: $i,SV276: $i,SV82: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ SV226 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ SV226 ) @ SV276 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1604]) ).
thf(1654,plain,
! [SV226: $i,SV82: $i,SV276: $i,SV173: $i] :
( ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV173 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) ) ) )
= $true )
| ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV173 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ SV226 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ SV226 ) @ SV276 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1605]) ).
thf(1655,plain,
! [SV84: $i,SV175: $i,SV228: $i,SV358: $i,SV277: $i,SV326: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
!= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $false )
| ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV358 )
!= ( ti @ arrow_1212486748le_alt @ SV228 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV175 ) @ arrow_1834574746e_Prof ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV84 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY1049: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ SY1049 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ SY1049 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ SY1049 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ SY1049 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) ) ) ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV228 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV358 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1606]) ).
thf(1656,plain,
! [SV89: $i,SV370: $i,SV366: $i,SV380: $i,SV378: $i] :
( ( ( ~ ! [SY1091: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV366 @ SY1091 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV370 @ SY1091 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV370 @ SY1091 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV366 @ SY1091 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV370 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV366 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1607]) ).
thf(1657,plain,
! [SV89: $i] :
( ( ( ! [SY1088: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( sK6_SY617 @ SV89 ) @ SY1088 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( sK12_SY1063 @ SV89 ) @ SY1088 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( sK12_SY1063 @ SV89 ) @ SY1088 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( sK6_SY617 @ SV89 ) @ SY1088 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1608]) ).
thf(1658,plain,
! [SV89: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ ( sK6_SY617 @ SV89 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ ( sK12_SY1063 @ SV89 ) ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ ( sK12_SY1063 @ SV89 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ ( sK6_SY617 @ SV89 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1609]) ).
thf(1659,plain,
! [SV372: $i,SV230: $i,SV179: $i,SV281: $i,SV379: $i,SV93: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ SV93 @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( member @ SV93 ) @ SV379 ) @ SV281 ) ) )
= $true )
| ( ( ( ( hAPP @ SV93 @ SV179 @ SV230 @ SV372 )
!= ( hAPP @ SV93 @ SV179 @ SV230 @ SV379 ) )
| ( ( ti @ SV93 @ SV372 )
= ( ti @ SV93 @ SV379 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ SV93 @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( member @ SV93 ) @ SV372 ) @ SV281 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ ( fun @ SV93 @ SV179 ) @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( inj_on @ SV93 @ SV179 ) @ SV230 ) @ SV281 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1610]) ).
thf(1660,plain,
! [SV281: $i,SV179: $i,SV230: $i,SV93: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ SV93 @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( member @ SV93 ) @ ( sK23_SY1084 @ SV230 @ SV179 @ SV281 @ SV93 ) ) @ SV281 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ ( fun @ SV93 @ SV179 ) @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( inj_on @ SV93 @ SV179 ) @ SV230 ) @ SV281 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1611]) ).
thf(1661,plain,
! [SV281: $i,SV230: $i,SV179: $i,SV93: $i] :
( ( ( ( hAPP @ SV93 @ SV179 @ SV230 @ ( sK19_SY999 @ SV230 @ SV179 @ SV281 @ SV93 ) )
!= ( hAPP @ SV93 @ SV179 @ SV230 @ ( sK23_SY1084 @ SV230 @ SV179 @ SV281 @ SV93 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ ( fun @ SV93 @ SV179 ) @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( inj_on @ SV93 @ SV179 ) @ SV230 ) @ SV281 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1612]) ).
thf(1662,plain,
! [SV281: $i,SV179: $i,SV230: $i,SV93: $i] :
( ( ( ( ti @ SV93 @ ( sK19_SY999 @ SV230 @ SV179 @ SV281 @ SV93 ) )
= ( ti @ SV93 @ ( sK23_SY1084 @ SV230 @ SV179 @ SV281 @ SV93 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ ( fun @ SV93 @ SV179 ) @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( inj_on @ SV93 @ SV179 ) @ SV230 ) @ SV281 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1612]) ).
thf(1663,plain,
! [SV232: $i,SV181: $i,SV97: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV97 ) @ SV181 ) ) @ SV232 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV181 ) @ SV97 ) ) @ SV232 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV97 )
= ( ti @ arrow_1212486748le_alt @ SV181 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV232 ) @ arrow_638930832le_Lin ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1613]) ).
thf(1664,plain,
! [SV232: $i,SV181: $i,SV97: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV97 ) @ SV181 ) ) @ SV232 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV181 ) @ SV97 ) ) @ SV232 ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV97 )
= ( ti @ arrow_1212486748le_alt @ SV181 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV232 ) @ arrow_638930832le_Lin ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1614]) ).
thf(1665,plain,
! [SV284: $i,SV331: $i,SV98: $i] :
( ( ( hBOOL @ ( hAPP @ SV98 @ bool @ ( hAPP @ SV98 @ ( fun @ SV98 @ bool ) @ ( ord_less @ SV98 ) @ SV331 ) @ SV284 ) )
= $true )
| ( ( ( ti @ SV98 @ SV331 )
= ( ti @ SV98 @ SV284 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV98 @ bool @ ( hAPP @ SV98 @ ( fun @ SV98 @ bool ) @ ( ord_less @ SV98 ) @ SV284 ) @ SV331 ) )
= $true )
| ( ( linorder @ SV98 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1615]) ).
thf(1666,plain,
! [SV284: $i,SV331: $i,SV98: $i] :
( ( ( hBOOL @ ( hAPP @ SV98 @ bool @ ( hAPP @ SV98 @ ( fun @ SV98 @ bool ) @ ( ord_less @ SV98 ) @ SV331 ) @ SV284 ) )
= $false )
| ( ( ( ti @ SV98 @ SV331 )
= ( ti @ SV98 @ SV284 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV98 @ bool @ ( hAPP @ SV98 @ ( fun @ SV98 @ bool ) @ ( ord_less @ SV98 ) @ SV284 ) @ SV331 ) )
= $true )
| ( ( linorder @ SV98 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1616]) ).
thf(1667,plain,
! [SV100: $i] :
( ( ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ c ) @ e ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1617]) ).
thf(1668,plain,
! [SV100: $i] :
( ( ( ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1617]) ).
thf(1669,plain,
! [SV100: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1618]) ).
thf(1670,plain,
! [SV100: $i] :
( ( ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1619]) ).
thf(1671,plain,
! [SV100: $i] :
( ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1620]) ).
thf(1672,plain,
! [SV100: $i] :
( ( ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ c ) @ e ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1621]) ).
thf(1673,plain,
! [SV234: $i,SV183: $i,SV285: $i,SV101: $i] :
( ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV101 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ SV234 ) @ SV285 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1622]) ).
thf(1674,plain,
! [SV234: $i,SV101: $i,SV285: $i,SV183: $i] :
( ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV101 )
!= ( ti @ arrow_1212486748le_alt @ SV183 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ SV234 ) @ SV285 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1622]) ).
thf(1675,plain,
! [SV234: $i,SV101: $i,SV285: $i,SV183: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ SV234 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ SV234 ) @ SV285 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1623]) ).
thf(1676,plain,
! [SV234: $i,SV183: $i,SV285: $i,SV101: $i] :
( ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV101 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) ) ) )
= $true )
| ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV101 )
!= ( ti @ arrow_1212486748le_alt @ SV183 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ SV234 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ SV234 ) @ SV285 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1624]) ).
thf(1677,plain,
! [SV104: $i,SV184: $i,SV235: $i,SV362: $i,SV288: $i,SV334: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
!= ( ti @ arrow_1212486748le_alt @ SV288 ) )
= $false )
| ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV362 )
!= ( ti @ arrow_1212486748le_alt @ SV235 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV184 ) @ arrow_1834574746e_Prof ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV104 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY1050: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV184 @ SY1050 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV104 @ SY1050 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV104 @ SY1050 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV184 @ SY1050 ) ) ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV184 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV104 ) ) ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV235 )
= ( ti @ arrow_1212486748le_alt @ SV288 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
= ( ti @ arrow_1212486748le_alt @ SV362 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1625]) ).
thf(1678,plain,
! [SV336: $i,SV106: $i,SV185: $i,SV236: $i,SV290: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV185 ) @ arrow_1834574746e_Prof ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV106 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY1044: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ SY1044 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ SY1044 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ SY1044 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ SY1044 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) ) ) ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV336 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV336 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1626]) ).
thf(1679,plain,
! [SV338: $i,SV187: $i,SV237: $i,SV363: $i,SV292: $i,SV109: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ SV109 @ bool ) @ bool @ ( hAPP @ SV109 @ ( fun @ ( fun @ SV109 @ bool ) @ bool ) @ ( member @ SV109 ) @ SV292 ) @ SV363 ) )
= $false )
| ( ( ( ti @ SV109 @ SV237 )
= ( ti @ SV109 @ SV292 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV109 @ bool ) @ bool @ ( hAPP @ SV109 @ ( fun @ ( fun @ SV109 @ bool ) @ bool ) @ ( member @ SV109 ) @ SV237 ) @ SV363 ) )
= $false )
| ( ( ( hAPP @ SV109 @ SV187 @ SV338 @ SV237 )
= ( hAPP @ SV109 @ SV187 @ SV338 @ SV292 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV109 @ bool ) @ bool @ ( hAPP @ ( fun @ SV109 @ SV187 ) @ ( fun @ ( fun @ SV109 @ bool ) @ bool ) @ ( inj_on @ SV109 @ SV187 ) @ SV338 ) @ SV363 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1627]) ).
thf(1680,plain,
! [SV305: $i,SV209: $i,SV152: $i,SV348: $i,SV251: $i,SV48: $i] :
( ( ( ( ti @ SV48 @ SV251 )
= ( ti @ SV48 @ SV348 ) )
= $false )
| ( ( ( ti @ SV152 @ SV209 )
= ( ti @ SV152 @ SV305 ) )
= $false )
| ( ( ( hAPP @ SV48 @ ( product_prod @ SV152 @ SV48 ) @ ( hAPP @ SV152 @ ( fun @ SV48 @ ( product_prod @ SV152 @ SV48 ) ) @ ( product_Pair @ SV152 @ SV48 ) @ SV209 ) @ SV251 )
= ( hAPP @ SV48 @ ( product_prod @ SV152 @ SV48 ) @ ( hAPP @ SV152 @ ( fun @ SV48 @ ( product_prod @ SV152 @ SV48 ) ) @ ( product_Pair @ SV152 @ SV48 ) @ SV305 ) @ SV348 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1631]) ).
thf(1681,plain,
! [SV252: $i,SV210: $i,SV154: $i,SV50: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ ( sK17_SY954 @ SV210 @ SV252 @ SV154 @ SV50 ) ) @ ( sK20_SY1077 @ SV252 @ SV210 @ SV154 @ SV50 ) ) ) @ SV252 ) ) )
= $false )
| ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ ( sK17_SY954 @ SV210 @ SV252 @ SV154 @ SV50 ) ) @ ( sK20_SY1077 @ SV252 @ SV210 @ SV154 @ SV50 ) ) ) @ SV210 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ ( sK17_SY954 @ SV210 @ SV252 @ SV154 @ SV50 ) ) @ ( sK20_SY1077 @ SV252 @ SV210 @ SV154 @ SV50 ) ) ) @ SV252 ) ) ) )
= $true )
| ( ( ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV252 )
= ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV210 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1632]) ).
thf(1682,plain,
! [SV252: $i,SV210: $i,SV154: $i,SV50: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ ( sK17_SY954 @ SV210 @ SV252 @ SV154 @ SV50 ) ) @ ( sK20_SY1077 @ SV252 @ SV210 @ SV154 @ SV50 ) ) ) @ SV210 ) )
= $false )
| ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ ( sK17_SY954 @ SV210 @ SV252 @ SV154 @ SV50 ) ) @ ( sK20_SY1077 @ SV252 @ SV210 @ SV154 @ SV50 ) ) ) @ SV210 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ ( sK17_SY954 @ SV210 @ SV252 @ SV154 @ SV50 ) ) @ ( sK20_SY1077 @ SV252 @ SV210 @ SV154 @ SV50 ) ) ) @ SV252 ) ) ) )
= $true )
| ( ( ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV252 )
= ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV210 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1632]) ).
thf(1683,plain,
! [SV210: $i,SV252: $i,SV374: $i,SV369: $i,SV154: $i,SV50: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SV369 ) @ SV374 ) ) @ SV252 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SV369 ) @ SV374 ) ) @ SV210 ) )
= $true )
| ( ( ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV252 )
= ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV210 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1633]) ).
thf(1684,plain,
! [SV252: $i,SV210: $i,SV374: $i,SV369: $i,SV154: $i,SV50: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SV369 ) @ SV374 ) ) @ SV210 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SV369 ) @ SV374 ) ) @ SV252 ) )
= $true )
| ( ( ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV252 )
= ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV210 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1634]) ).
thf(1685,plain,
! [SV306: $i,SV253: $i,SV211: $i,SV155: $i,SV51: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV155 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV253 ) @ SV155 ) ) @ SV211 ) ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV253 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV253 ) ) @ SV211 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1635]) ).
thf(1686,plain,
! [SV211: $i,SV253: $i,SV306: $i,SV155: $i,SV51: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV155 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV253 ) @ SV155 ) ) @ SV211 ) ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV253 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV253 ) ) @ SV211 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) ) ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1636]) ).
thf(1687,plain,
! [SV256: $i,SV214: $i,SV158: $i,SV350: $i,SV309: $i,SV54: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV54 ) @ arrow_1834574746e_Prof ) ) )
= $true )
| ( ( ~ ! [SY1047: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ SY1047 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ SY1047 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ SY1047 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ SY1047 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV158 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV214 )
= ( ti @ arrow_1212486748le_alt @ SV256 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV309 )
= ( ti @ arrow_1212486748le_alt @ SV350 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1637]) ).
thf(1688,plain,
! [SV59: $i,SV160: $i,SV260: $i,SV216: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV59 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV160 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV216 )
= ( ti @ arrow_1212486748le_alt @ SV260 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1638]) ).
thf(1689,plain,
! [SV355: $i,SV219: $i,SV268: $i,SV320: $i,SV165: $i,SV69: $i] :
( ( ( ( ( hAPP @ SV69 @ SV165 @ SV320 @ SV268 )
!= ( hAPP @ SV69 @ SV165 @ SV320 @ SV219 ) )
| ( ( ti @ SV69 @ SV268 )
= ( ti @ SV69 @ SV219 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV69 @ bool ) @ bool @ ( hAPP @ SV69 @ ( fun @ ( fun @ SV69 @ bool ) @ bool ) @ ( member @ SV69 ) @ SV219 ) @ SV355 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV69 @ bool ) @ bool @ ( hAPP @ SV69 @ ( fun @ ( fun @ SV69 @ bool ) @ bool ) @ ( member @ SV69 ) @ SV268 ) @ SV355 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV69 @ bool ) @ bool @ ( hAPP @ ( fun @ SV69 @ SV165 ) @ ( fun @ ( fun @ SV69 @ bool ) @ bool ) @ ( inj_on @ SV69 @ SV165 ) @ SV320 ) @ SV355 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1639]) ).
thf(1690,plain,
! [SV355: $i,SV320: $i,SV165: $i,SV219: $i,SV268: $i,SV69: $i] :
( ( ( ( ( ti @ SV69 @ SV268 )
!= ( ti @ SV69 @ SV219 ) )
| ( ( hAPP @ SV69 @ SV165 @ SV320 @ SV268 )
= ( hAPP @ SV69 @ SV165 @ SV320 @ SV219 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV69 @ bool ) @ bool @ ( hAPP @ SV69 @ ( fun @ ( fun @ SV69 @ bool ) @ bool ) @ ( member @ SV69 ) @ SV219 ) @ SV355 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV69 @ bool ) @ bool @ ( hAPP @ SV69 @ ( fun @ ( fun @ SV69 @ bool ) @ bool ) @ ( member @ SV69 ) @ SV268 ) @ SV355 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV69 @ bool ) @ bool @ ( hAPP @ ( fun @ SV69 @ SV165 ) @ ( fun @ ( fun @ SV69 @ bool ) @ bool ) @ ( inj_on @ SV69 @ SV165 ) @ SV320 ) @ SV355 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1640]) ).
thf(1691,plain,
! [SV75: $i] :
( ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1641]) ).
thf(1692,plain,
! [SV75: $i] :
( ( ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1642]) ).
thf(1693,plain,
! [SV75: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1643]) ).
thf(1694,plain,
! [SV75: $i] :
( ( ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) )
= $false )
| ( ( ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1644]) ).
thf(1695,plain,
! [SV75: $i] :
( ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1645]) ).
thf(1696,plain,
! [SV75: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1646]) ).
thf(1697,plain,
! [SV75: $i] :
( ( ( ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1646]) ).
thf(1698,plain,
! [SV75: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1647]) ).
thf(1699,plain,
! [SV75: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1648]) ).
thf(1700,plain,
! [SV75: $i] :
( ( ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1649]) ).
thf(1701,plain,
! [SV225: $i,SV325: $i,SV172: $i,SV357: $i,SV275: $i,SV81: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ SV81 @ bool ) @ bool @ ( hAPP @ SV81 @ ( fun @ ( fun @ SV81 @ bool ) @ bool ) @ ( member @ SV81 ) @ SV275 ) @ SV357 ) )
= $false )
| ( ( ( hAPP @ SV81 @ SV172 @ SV325 @ SV225 )
!= ( hAPP @ SV81 @ SV172 @ SV325 @ SV275 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV81 @ bool ) @ bool @ ( hAPP @ SV81 @ ( fun @ ( fun @ SV81 @ bool ) @ bool ) @ ( member @ SV81 ) @ SV225 ) @ SV357 ) )
= $false )
| ( ( ( ti @ SV81 @ SV225 )
= ( ti @ SV81 @ SV275 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV81 @ bool ) @ bool @ ( hAPP @ ( fun @ SV81 @ SV172 ) @ ( fun @ ( fun @ SV81 @ bool ) @ bool ) @ ( inj_on @ SV81 @ SV172 ) @ SV325 ) @ SV357 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1650]) ).
thf(1702,plain,
! [SV226: $i,SV82: $i,SV276: $i,SV173: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV173 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ SV226 ) @ SV276 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1651]) ).
thf(1703,plain,
! [SV226: $i,SV173: $i,SV276: $i,SV82: $i] :
( ( ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV173 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ SV226 ) @ SV276 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1652]) ).
thf(1704,plain,
! [SV226: $i,SV173: $i,SV276: $i,SV82: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
= ( ti @ arrow_1212486748le_alt @ SV276 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ SV226 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ SV226 ) @ SV276 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1653]) ).
thf(1705,plain,
! [SV226: $i,SV82: $i,SV276: $i,SV173: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV173 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) )
= $false )
| ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV173 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ SV226 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ SV226 ) @ SV276 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1654]) ).
thf(1706,plain,
! [SV84: $i,SV175: $i,SV228: $i,SV358: $i,SV277: $i,SV326: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV358 )
!= ( ti @ arrow_1212486748le_alt @ SV228 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV175 ) @ arrow_1834574746e_Prof ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV84 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY1049: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ SY1049 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ SY1049 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ SY1049 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ SY1049 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) ) ) ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV228 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV358 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1655]) ).
thf(1707,plain,
! [SV89: $i,SV370: $i,SV366: $i,SV380: $i,SV378: $i] :
( ( ( ~ ! [SY1091: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV366 @ SY1091 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV370 @ SY1091 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV370 @ SY1091 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV366 @ SY1091 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV370 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV366 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1656]) ).
thf(1708,plain,
! [SV381: $i,SV89: $i] :
( ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( sK6_SY617 @ SV89 ) @ SV381 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( sK12_SY1063 @ SV89 ) @ SV381 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( sK12_SY1063 @ SV89 ) @ SV381 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( sK6_SY617 @ SV89 ) @ SV381 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1657]) ).
thf(1709,plain,
! [SV89: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ ( sK6_SY617 @ SV89 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ ( sK12_SY1063 @ SV89 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ ( sK12_SY1063 @ SV89 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ ( sK6_SY617 @ SV89 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1658]) ).
thf(1710,plain,
! [SV372: $i,SV230: $i,SV179: $i,SV281: $i,SV379: $i,SV93: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ SV93 @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( member @ SV93 ) @ SV379 ) @ SV281 ) )
= $false )
| ( ( ( ( hAPP @ SV93 @ SV179 @ SV230 @ SV372 )
!= ( hAPP @ SV93 @ SV179 @ SV230 @ SV379 ) )
| ( ( ti @ SV93 @ SV372 )
= ( ti @ SV93 @ SV379 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ SV93 @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( member @ SV93 ) @ SV372 ) @ SV281 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ ( fun @ SV93 @ SV179 ) @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( inj_on @ SV93 @ SV179 ) @ SV230 ) @ SV281 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1659]) ).
thf(1711,plain,
! [SV281: $i,SV230: $i,SV179: $i,SV93: $i] :
( ( ( ( hAPP @ SV93 @ SV179 @ SV230 @ ( sK19_SY999 @ SV230 @ SV179 @ SV281 @ SV93 ) )
= ( hAPP @ SV93 @ SV179 @ SV230 @ ( sK23_SY1084 @ SV230 @ SV179 @ SV281 @ SV93 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ ( fun @ SV93 @ SV179 ) @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( inj_on @ SV93 @ SV179 ) @ SV230 ) @ SV281 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1661]) ).
thf(1712,plain,
! [SV100: $i] :
( ( ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ c ) @ e ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1667]) ).
thf(1713,plain,
! [SV100: $i] :
( ( ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1668]) ).
thf(1714,plain,
! [SV100: $i] :
( ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1669]) ).
thf(1715,plain,
! [SV100: $i] :
( ( ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ c ) @ e ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1670]) ).
thf(1716,plain,
! [SV100: $i] :
( ( ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ c ) @ e ) ) ) )
= $false )
| ( ( ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1672]) ).
thf(1717,plain,
! [SV234: $i,SV183: $i,SV285: $i,SV101: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV101 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ SV234 ) @ SV285 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1673]) ).
thf(1718,plain,
! [SV234: $i,SV101: $i,SV285: $i,SV183: $i] :
( ( ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV101 )
!= ( ti @ arrow_1212486748le_alt @ SV183 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ SV234 ) @ SV285 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1674]) ).
thf(1719,plain,
! [SV234: $i,SV101: $i,SV285: $i,SV183: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
= ( ti @ arrow_1212486748le_alt @ SV285 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ SV234 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ SV234 ) @ SV285 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1675]) ).
thf(1720,plain,
! [SV234: $i,SV183: $i,SV285: $i,SV101: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV101 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) )
= $false )
| ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV101 )
!= ( ti @ arrow_1212486748le_alt @ SV183 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ SV234 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ SV234 ) @ SV285 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1676]) ).
thf(1721,plain,
! [SV104: $i,SV184: $i,SV235: $i,SV362: $i,SV288: $i,SV334: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
= ( ti @ arrow_1212486748le_alt @ SV288 ) )
= $true )
| ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV362 )
!= ( ti @ arrow_1212486748le_alt @ SV235 ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV184 ) @ arrow_1834574746e_Prof ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV104 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY1050: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV184 @ SY1050 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV104 @ SY1050 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV104 @ SY1050 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV184 @ SY1050 ) ) ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV184 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV104 ) ) ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV235 )
= ( ti @ arrow_1212486748le_alt @ SV288 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
= ( ti @ arrow_1212486748le_alt @ SV362 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1677]) ).
thf(1722,plain,
! [SV236: $i,SV336: $i,SV290: $i,SV106: $i,SV185: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV185 ) @ arrow_1834574746e_Prof ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV106 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY1044: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ SY1044 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ SY1044 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ SY1044 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ SY1044 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) ) ) ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV336 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV336 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1678]) ).
thf(1723,plain,
! [SV252: $i,SV210: $i,SV154: $i,SV50: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ ( sK17_SY954 @ SV210 @ SV252 @ SV154 @ SV50 ) ) @ ( sK20_SY1077 @ SV252 @ SV210 @ SV154 @ SV50 ) ) ) @ SV252 ) )
= $true )
| ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ ( sK17_SY954 @ SV210 @ SV252 @ SV154 @ SV50 ) ) @ ( sK20_SY1077 @ SV252 @ SV210 @ SV154 @ SV50 ) ) ) @ SV210 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ ( sK17_SY954 @ SV210 @ SV252 @ SV154 @ SV50 ) ) @ ( sK20_SY1077 @ SV252 @ SV210 @ SV154 @ SV50 ) ) ) @ SV252 ) ) ) )
= $true )
| ( ( ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV252 )
= ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV210 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1681]) ).
thf(1724,plain,
! [SV252: $i,SV210: $i,SV154: $i,SV50: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ ( sK17_SY954 @ SV210 @ SV252 @ SV154 @ SV50 ) ) @ ( sK20_SY1077 @ SV252 @ SV210 @ SV154 @ SV50 ) ) ) @ SV210 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ ( sK17_SY954 @ SV210 @ SV252 @ SV154 @ SV50 ) ) @ ( sK20_SY1077 @ SV252 @ SV210 @ SV154 @ SV50 ) ) ) @ SV252 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ ( sK17_SY954 @ SV210 @ SV252 @ SV154 @ SV50 ) ) @ ( sK20_SY1077 @ SV252 @ SV210 @ SV154 @ SV50 ) ) ) @ SV210 ) )
= $false )
| ( ( ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV252 )
= ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV210 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1682]) ).
thf(1725,plain,
! [SV210: $i,SV252: $i,SV374: $i,SV369: $i,SV154: $i,SV50: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SV369 ) @ SV374 ) ) @ SV252 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SV369 ) @ SV374 ) ) @ SV210 ) )
= $true )
| ( ( ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV252 )
= ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV210 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1683]) ).
thf(1726,plain,
! [SV252: $i,SV210: $i,SV374: $i,SV369: $i,SV154: $i,SV50: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SV369 ) @ SV374 ) ) @ SV210 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ SV369 ) @ SV374 ) ) @ SV252 ) )
= $true )
| ( ( ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV252 )
= ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV210 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1684]) ).
thf(1727,plain,
! [SV211: $i,SV253: $i,SV306: $i,SV155: $i,SV51: $i] :
( ( ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV155 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV253 ) @ SV155 ) ) @ SV211 ) ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV253 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV253 ) ) @ SV211 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1685]) ).
thf(1728,plain,
! [SV211: $i,SV253: $i,SV306: $i,SV155: $i,SV51: $i] :
( ( ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV155 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV253 ) @ SV155 ) ) @ SV211 ) ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV253 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV253 ) ) @ SV211 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1686]) ).
thf(1729,plain,
! [SV256: $i,SV214: $i,SV158: $i,SV350: $i,SV309: $i,SV54: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV54 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ~ ! [SY1047: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ SY1047 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ SY1047 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ SY1047 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ SY1047 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV158 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV214 )
= ( ti @ arrow_1212486748le_alt @ SV256 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV309 )
= ( ti @ arrow_1212486748le_alt @ SV350 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1687]) ).
thf(1730,plain,
! [SV59: $i,SV160: $i,SV260: $i,SV216: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV59 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV160 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV216 )
= ( ti @ arrow_1212486748le_alt @ SV260 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1688]) ).
thf(1731,plain,
! [SV355: $i,SV219: $i,SV268: $i,SV320: $i,SV165: $i,SV69: $i] :
( ( ( ( hAPP @ SV69 @ SV165 @ SV320 @ SV268 )
!= ( hAPP @ SV69 @ SV165 @ SV320 @ SV219 ) )
= $true )
| ( ( ( ti @ SV69 @ SV268 )
= ( ti @ SV69 @ SV219 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV69 @ bool ) @ bool @ ( hAPP @ SV69 @ ( fun @ ( fun @ SV69 @ bool ) @ bool ) @ ( member @ SV69 ) @ SV219 ) @ SV355 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV69 @ bool ) @ bool @ ( hAPP @ SV69 @ ( fun @ ( fun @ SV69 @ bool ) @ bool ) @ ( member @ SV69 ) @ SV268 ) @ SV355 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV69 @ bool ) @ bool @ ( hAPP @ ( fun @ SV69 @ SV165 ) @ ( fun @ ( fun @ SV69 @ bool ) @ bool ) @ ( inj_on @ SV69 @ SV165 ) @ SV320 ) @ SV355 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1689]) ).
thf(1732,plain,
! [SV355: $i,SV320: $i,SV165: $i,SV219: $i,SV268: $i,SV69: $i] :
( ( ( ( ti @ SV69 @ SV268 )
!= ( ti @ SV69 @ SV219 ) )
= $true )
| ( ( ( hAPP @ SV69 @ SV165 @ SV320 @ SV268 )
= ( hAPP @ SV69 @ SV165 @ SV320 @ SV219 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV69 @ bool ) @ bool @ ( hAPP @ SV69 @ ( fun @ ( fun @ SV69 @ bool ) @ bool ) @ ( member @ SV69 ) @ SV219 ) @ SV355 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV69 @ bool ) @ bool @ ( hAPP @ SV69 @ ( fun @ ( fun @ SV69 @ bool ) @ bool ) @ ( member @ SV69 ) @ SV268 ) @ SV355 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV69 @ bool ) @ bool @ ( hAPP @ ( fun @ SV69 @ SV165 ) @ ( fun @ ( fun @ SV69 @ bool ) @ bool ) @ ( inj_on @ SV69 @ SV165 ) @ SV320 ) @ SV355 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1690]) ).
thf(1733,plain,
! [SV75: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1691]) ).
thf(1734,plain,
! [SV75: $i] :
( ( ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) )
= $false )
| ( ( ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1692]) ).
thf(1735,plain,
! [SV75: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1693]) ).
thf(1736,plain,
! [SV75: $i] :
( ( ( ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1693]) ).
thf(1737,plain,
! [SV75: $i] :
( ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
= $false )
| ( ( ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1694]) ).
thf(1738,plain,
! [SV75: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) )
= $false )
| ( ( ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1694]) ).
thf(1739,plain,
! [SV75: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1695]) ).
thf(1740,plain,
! [SV75: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1696]) ).
thf(1741,plain,
! [SV75: $i] :
( ( ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1697]) ).
thf(1742,plain,
! [SV75: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1698]) ).
thf(1743,plain,
! [SV75: $i] :
( ( ( ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1698]) ).
thf(1744,plain,
! [SV75: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1699]) ).
thf(1745,plain,
! [SV75: $i] :
( ( ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) ) )
= $true )
| ( ( ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1700]) ).
thf(1746,plain,
! [SV357: $i,SV275: $i,SV225: $i,SV325: $i,SV172: $i,SV81: $i] :
( ( ( ( hAPP @ SV81 @ SV172 @ SV325 @ SV225 )
= ( hAPP @ SV81 @ SV172 @ SV325 @ SV275 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV81 @ bool ) @ bool @ ( hAPP @ SV81 @ ( fun @ ( fun @ SV81 @ bool ) @ bool ) @ ( member @ SV81 ) @ SV275 ) @ SV357 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV81 @ bool ) @ bool @ ( hAPP @ SV81 @ ( fun @ ( fun @ SV81 @ bool ) @ bool ) @ ( member @ SV81 ) @ SV225 ) @ SV357 ) )
= $false )
| ( ( ( ti @ SV81 @ SV225 )
= ( ti @ SV81 @ SV275 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV81 @ bool ) @ bool @ ( hAPP @ ( fun @ SV81 @ SV172 ) @ ( fun @ ( fun @ SV81 @ bool ) @ bool ) @ ( inj_on @ SV81 @ SV172 ) @ SV325 ) @ SV357 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1701]) ).
thf(1747,plain,
! [SV226: $i,SV82: $i,SV276: $i,SV173: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV173 )
= ( ti @ arrow_1212486748le_alt @ SV276 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ SV226 ) @ SV276 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1702]) ).
thf(1748,plain,
! [SV226: $i,SV173: $i,SV276: $i,SV82: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV173 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ SV226 ) @ SV276 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1703]) ).
thf(1749,plain,
! [SV226: $i,SV82: $i,SV276: $i,SV173: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV173 )
= ( ti @ arrow_1212486748le_alt @ SV276 ) )
= $true )
| ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV173 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ SV226 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ SV226 ) @ SV276 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1705]) ).
thf(1750,plain,
! [SV277: $i,SV326: $i,SV84: $i,SV175: $i,SV228: $i,SV358: $i] :
( ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV358 )
!= ( ti @ arrow_1212486748le_alt @ SV228 ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV175 ) @ arrow_1834574746e_Prof ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV84 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY1049: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ SY1049 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ SY1049 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ SY1049 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ SY1049 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) ) ) ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV228 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV358 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1706]) ).
thf(1751,plain,
! [SV89: $i,SV370: $i,SV366: $i,SV380: $i,SV378: $i] :
( ( ( ! [SY1091: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV366 @ SY1091 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV370 @ SY1091 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV370 @ SY1091 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV366 @ SY1091 ) ) ) ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV370 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV366 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1707]) ).
thf(1752,plain,
! [SV381: $i,SV89: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( sK6_SY617 @ SV89 ) @ SV381 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( sK12_SY1063 @ SV89 ) @ SV381 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( sK12_SY1063 @ SV89 ) @ SV381 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( sK6_SY617 @ SV89 ) @ SV381 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1708]) ).
thf(1753,plain,
! [SV89: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ ( sK6_SY617 @ SV89 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ ( sK12_SY1063 @ SV89 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ ( sK12_SY1063 @ SV89 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ ( sK6_SY617 @ SV89 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1709]) ).
thf(1754,plain,
! [SV281: $i,SV379: $i,SV372: $i,SV230: $i,SV179: $i,SV93: $i] :
( ( ( ( hAPP @ SV93 @ SV179 @ SV230 @ SV372 )
!= ( hAPP @ SV93 @ SV179 @ SV230 @ SV379 ) )
= $true )
| ( ( ( ti @ SV93 @ SV372 )
= ( ti @ SV93 @ SV379 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ SV93 @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( member @ SV93 ) @ SV379 ) @ SV281 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ SV93 @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( member @ SV93 ) @ SV372 ) @ SV281 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ ( fun @ SV93 @ SV179 ) @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( inj_on @ SV93 @ SV179 ) @ SV230 ) @ SV281 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1710]) ).
thf(1755,plain,
! [SV100: $i] :
( ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ c ) @ e ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1712]) ).
thf(1756,plain,
! [SV100: $i] :
( ( ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1713]) ).
thf(1757,plain,
! [SV100: $i] :
( ( ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ c ) @ e ) ) ) )
= $false )
| ( ( ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1715]) ).
thf(1758,plain,
! [SV100: $i] :
( ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n )
= $false )
| ( ( ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1716]) ).
thf(1759,plain,
! [SV100: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ c ) @ e ) ) )
= $false )
| ( ( ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1716]) ).
thf(1760,plain,
! [SV234: $i,SV183: $i,SV285: $i,SV101: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV101 )
= ( ti @ arrow_1212486748le_alt @ SV285 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ SV234 ) @ SV285 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1717]) ).
thf(1761,plain,
! [SV234: $i,SV101: $i,SV285: $i,SV183: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV101 )
!= ( ti @ arrow_1212486748le_alt @ SV183 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ SV234 ) @ SV285 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1718]) ).
thf(1762,plain,
! [SV234: $i,SV183: $i,SV285: $i,SV101: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV101 )
= ( ti @ arrow_1212486748le_alt @ SV285 ) )
= $true )
| ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV101 )
!= ( ti @ arrow_1212486748le_alt @ SV183 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ SV234 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ SV234 ) @ SV285 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1720]) ).
thf(1763,plain,
! [SV288: $i,SV334: $i,SV104: $i,SV184: $i,SV235: $i,SV362: $i] :
( ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV362 )
!= ( ti @ arrow_1212486748le_alt @ SV235 ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV184 ) @ arrow_1834574746e_Prof ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV104 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY1050: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV184 @ SY1050 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV104 @ SY1050 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV104 @ SY1050 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV184 @ SY1050 ) ) ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV184 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV104 ) ) ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
= ( ti @ arrow_1212486748le_alt @ SV288 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV235 )
= ( ti @ arrow_1212486748le_alt @ SV288 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
= ( ti @ arrow_1212486748le_alt @ SV362 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1721]) ).
thf(1764,plain,
! [SV236: $i,SV336: $i,SV290: $i,SV106: $i,SV185: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV185 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV106 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY1044: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ SY1044 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ SY1044 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ SY1044 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ SY1044 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) ) ) ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV336 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV336 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1722]) ).
thf(1765,plain,
! [SV252: $i,SV210: $i,SV154: $i,SV50: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ ( sK17_SY954 @ SV210 @ SV252 @ SV154 @ SV50 ) ) @ ( sK20_SY1077 @ SV252 @ SV210 @ SV154 @ SV50 ) ) ) @ SV210 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ ( sK17_SY954 @ SV210 @ SV252 @ SV154 @ SV50 ) ) @ ( sK20_SY1077 @ SV252 @ SV210 @ SV154 @ SV50 ) ) ) @ SV252 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ ( sK17_SY954 @ SV210 @ SV252 @ SV154 @ SV50 ) ) @ ( sK20_SY1077 @ SV252 @ SV210 @ SV154 @ SV50 ) ) ) @ SV252 ) )
= $true )
| ( ( ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV252 )
= ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV210 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1723]) ).
thf(1766,plain,
! [SV252: $i,SV210: $i,SV154: $i,SV50: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ ( sK17_SY954 @ SV210 @ SV252 @ SV154 @ SV50 ) ) @ ( sK20_SY1077 @ SV252 @ SV210 @ SV154 @ SV50 ) ) ) @ SV210 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ ( sK17_SY954 @ SV210 @ SV252 @ SV154 @ SV50 ) ) @ ( sK20_SY1077 @ SV252 @ SV210 @ SV154 @ SV50 ) ) ) @ SV210 ) )
= $false )
| ( ( ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV252 )
= ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV210 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1724]) ).
thf(1767,plain,
! [SV252: $i,SV210: $i,SV154: $i,SV50: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ ( sK17_SY954 @ SV210 @ SV252 @ SV154 @ SV50 ) ) @ ( sK20_SY1077 @ SV252 @ SV210 @ SV154 @ SV50 ) ) ) @ SV252 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ ( sK17_SY954 @ SV210 @ SV252 @ SV154 @ SV50 ) ) @ ( sK20_SY1077 @ SV252 @ SV210 @ SV154 @ SV50 ) ) ) @ SV210 ) )
= $false )
| ( ( ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV252 )
= ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV210 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1724]) ).
thf(1768,plain,
! [SV211: $i,SV253: $i,SV306: $i,SV155: $i,SV51: $i] :
( ( ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV155 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV253 ) @ SV155 ) ) @ SV211 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1727]) ).
thf(1769,plain,
! [SV211: $i,SV253: $i,SV155: $i,SV306: $i,SV51: $i] :
( ( ( ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV253 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV253 ) ) @ SV211 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1727]) ).
thf(1770,plain,
! [SV211: $i,SV253: $i,SV306: $i,SV155: $i,SV51: $i] :
( ( ( ~ ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV155 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV253 ) @ SV155 ) ) @ SV211 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV253 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV253 ) ) @ SV211 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1728]) ).
thf(1771,plain,
! [SV54: $i,SV256: $i,SV214: $i,SV158: $i,SV350: $i,SV309: $i] :
( ( ( ~ ! [SY1047: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ SY1047 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ SY1047 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ SY1047 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ SY1047 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV54 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV158 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV214 )
= ( ti @ arrow_1212486748le_alt @ SV256 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV309 )
= ( ti @ arrow_1212486748le_alt @ SV350 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1729]) ).
thf(1772,plain,
! [SV59: $i,SV160: $i,SV260: $i,SV216: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV59 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV160 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV216 )
= ( ti @ arrow_1212486748le_alt @ SV260 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1730]) ).
thf(1773,plain,
! [SV355: $i,SV219: $i,SV268: $i,SV320: $i,SV165: $i,SV69: $i] :
( ( ( ( hAPP @ SV69 @ SV165 @ SV320 @ SV268 )
= ( hAPP @ SV69 @ SV165 @ SV320 @ SV219 ) )
= $false )
| ( ( ( ti @ SV69 @ SV268 )
= ( ti @ SV69 @ SV219 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV69 @ bool ) @ bool @ ( hAPP @ SV69 @ ( fun @ ( fun @ SV69 @ bool ) @ bool ) @ ( member @ SV69 ) @ SV219 ) @ SV355 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV69 @ bool ) @ bool @ ( hAPP @ SV69 @ ( fun @ ( fun @ SV69 @ bool ) @ bool ) @ ( member @ SV69 ) @ SV268 ) @ SV355 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV69 @ bool ) @ bool @ ( hAPP @ ( fun @ SV69 @ SV165 ) @ ( fun @ ( fun @ SV69 @ bool ) @ bool ) @ ( inj_on @ SV69 @ SV165 ) @ SV320 ) @ SV355 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1731]) ).
thf(1774,plain,
! [SV355: $i,SV320: $i,SV165: $i,SV219: $i,SV268: $i,SV69: $i] :
( ( ( ( ti @ SV69 @ SV268 )
= ( ti @ SV69 @ SV219 ) )
= $false )
| ( ( ( hAPP @ SV69 @ SV165 @ SV320 @ SV268 )
= ( hAPP @ SV69 @ SV165 @ SV320 @ SV219 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV69 @ bool ) @ bool @ ( hAPP @ SV69 @ ( fun @ ( fun @ SV69 @ bool ) @ bool ) @ ( member @ SV69 ) @ SV219 ) @ SV355 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV69 @ bool ) @ bool @ ( hAPP @ SV69 @ ( fun @ ( fun @ SV69 @ bool ) @ bool ) @ ( member @ SV69 ) @ SV268 ) @ SV355 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV69 @ bool ) @ bool @ ( hAPP @ ( fun @ SV69 @ SV165 ) @ ( fun @ ( fun @ SV69 @ bool ) @ bool ) @ ( inj_on @ SV69 @ SV165 ) @ SV320 ) @ SV355 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1732]) ).
thf(1775,plain,
! [SV75: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1733]) ).
thf(1776,plain,
! [SV75: $i] :
( ( ( ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1733]) ).
thf(1777,plain,
! [SV75: $i] :
( ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
= $false )
| ( ( ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1734]) ).
thf(1778,plain,
! [SV75: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) )
= $false )
| ( ( ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1734]) ).
thf(1779,plain,
! [SV75: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1735]) ).
thf(1780,plain,
! [SV75: $i] :
( ( ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1736]) ).
thf(1781,plain,
! [SV75: $i] :
( ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $true )
| ( ( ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1737]) ).
thf(1782,plain,
! [SV75: $i] :
( ( ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1738]) ).
thf(1783,plain,
! [SV75: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1739]) ).
thf(1784,plain,
! [SV75: $i] :
( ( ( ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1739]) ).
thf(1785,plain,
! [SV75: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1740]) ).
thf(1786,plain,
! [SV75: $i] :
( ( ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) ) )
= $true )
| ( ( ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1741]) ).
thf(1787,plain,
! [SV75: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1742]) ).
thf(1788,plain,
! [SV75: $i] :
( ( ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1743]) ).
thf(1789,plain,
! [SV75: $i] :
( ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1744]) ).
thf(1790,plain,
! [SV75: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) ) )
= $false )
| ( ( ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1745]) ).
thf(1791,plain,
! [SV226: $i,SV173: $i,SV276: $i,SV82: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
= ( ti @ arrow_1212486748le_alt @ SV276 ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV173 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ SV226 ) @ SV276 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1748]) ).
thf(1792,plain,
! [SV226: $i,SV173: $i,SV276: $i,SV82: $i] :
( ( ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV173 ) ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV173 )
= ( ti @ arrow_1212486748le_alt @ SV276 ) )
= $true )
| ( ( ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ SV226 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ SV226 ) @ SV276 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1749]) ).
thf(1793,plain,
! [SV277: $i,SV326: $i,SV84: $i,SV175: $i,SV228: $i,SV358: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV358 )
!= ( ti @ arrow_1212486748le_alt @ SV228 ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV175 ) @ arrow_1834574746e_Prof ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV84 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY1049: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ SY1049 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ SY1049 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ SY1049 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ SY1049 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) ) ) ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV228 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV358 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1750]) ).
thf(1794,plain,
! [SV370: $i,SV89: $i,SV366: $i,SV380: $i,SV378: $i] :
( ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV366 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV370 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV370 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV366 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) ) ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV370 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV366 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1751]) ).
thf(1795,plain,
! [SV381: $i,SV89: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( sK6_SY617 @ SV89 ) @ SV381 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( sK12_SY1063 @ SV89 ) @ SV381 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1752]) ).
thf(1796,plain,
! [SV381: $i,SV89: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( sK12_SY1063 @ SV89 ) @ SV381 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( sK6_SY617 @ SV89 ) @ SV381 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1752]) ).
thf(1797,plain,
! [SV89: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ ( sK6_SY617 @ SV89 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ ( sK12_SY1063 @ SV89 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ ( sK6_SY617 @ SV89 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1753]) ).
thf(1798,plain,
! [SV89: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ ( sK12_SY1063 @ SV89 ) ) ) )
= $false )
| ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ ( sK12_SY1063 @ SV89 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ ( sK6_SY617 @ SV89 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1753]) ).
thf(1799,plain,
! [SV281: $i,SV379: $i,SV372: $i,SV230: $i,SV179: $i,SV93: $i] :
( ( ( ( hAPP @ SV93 @ SV179 @ SV230 @ SV372 )
= ( hAPP @ SV93 @ SV179 @ SV230 @ SV379 ) )
= $false )
| ( ( ( ti @ SV93 @ SV372 )
= ( ti @ SV93 @ SV379 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ SV93 @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( member @ SV93 ) @ SV379 ) @ SV281 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ SV93 @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( member @ SV93 ) @ SV372 ) @ SV281 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ SV93 @ bool ) @ bool @ ( hAPP @ ( fun @ SV93 @ SV179 ) @ ( fun @ ( fun @ SV93 @ bool ) @ bool ) @ ( inj_on @ SV93 @ SV179 ) @ SV230 ) @ SV281 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1754]) ).
thf(1800,plain,
! [SV100: $i] :
( ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
= n )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ c ) @ e ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1755]) ).
thf(1801,plain,
! [SV100: $i] :
( ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1756]) ).
thf(1802,plain,
! [SV100: $i] :
( ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n )
= $false )
| ( ( ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1757]) ).
thf(1803,plain,
! [SV100: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ c ) @ e ) ) )
= $false )
| ( ( ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1757]) ).
thf(1804,plain,
! [SV100: $i] :
( ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
= n )
= $true )
| ( ( ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1758]) ).
thf(1805,plain,
! [SV100: $i] :
( ( ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ c ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1759]) ).
thf(1806,plain,
! [SV234: $i,SV101: $i,SV285: $i,SV183: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
= ( ti @ arrow_1212486748le_alt @ SV285 ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV101 )
!= ( ti @ arrow_1212486748le_alt @ SV183 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ SV234 ) @ SV285 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1761]) ).
thf(1807,plain,
! [SV234: $i,SV101: $i,SV285: $i,SV183: $i] :
( ( ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV101 )
!= ( ti @ arrow_1212486748le_alt @ SV183 ) ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV101 )
= ( ti @ arrow_1212486748le_alt @ SV285 ) )
= $true )
| ( ( ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ SV234 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ SV234 ) @ SV285 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1762]) ).
thf(1808,plain,
! [SV288: $i,SV334: $i,SV104: $i,SV184: $i,SV235: $i,SV362: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV362 )
!= ( ti @ arrow_1212486748le_alt @ SV235 ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV184 ) @ arrow_1834574746e_Prof ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV104 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY1050: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV184 @ SY1050 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV104 @ SY1050 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV104 @ SY1050 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV184 @ SY1050 ) ) ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV184 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV104 ) ) ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
= ( ti @ arrow_1212486748le_alt @ SV288 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV235 )
= ( ti @ arrow_1212486748le_alt @ SV288 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
= ( ti @ arrow_1212486748le_alt @ SV362 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1763]) ).
thf(1809,plain,
! [SV236: $i,SV185: $i,SV336: $i,SV290: $i,SV106: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV106 ) @ arrow_1834574746e_Prof ) ) )
= $true )
| ( ( ~ ! [SY1044: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ SY1044 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ SY1044 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ SY1044 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ SY1044 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV185 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV336 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV336 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1764]) ).
thf(1810,plain,
! [SV252: $i,SV210: $i,SV154: $i,SV50: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ ( sK17_SY954 @ SV210 @ SV252 @ SV154 @ SV50 ) ) @ ( sK20_SY1077 @ SV252 @ SV210 @ SV154 @ SV50 ) ) ) @ SV210 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ ( sK17_SY954 @ SV210 @ SV252 @ SV154 @ SV50 ) ) @ ( sK20_SY1077 @ SV252 @ SV210 @ SV154 @ SV50 ) ) ) @ SV252 ) )
= $true )
| ( ( ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV252 )
= ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV210 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1765]) ).
thf(1811,plain,
! [SV252: $i,SV210: $i,SV154: $i,SV50: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ ( sK17_SY954 @ SV210 @ SV252 @ SV154 @ SV50 ) ) @ ( sK20_SY1077 @ SV252 @ SV210 @ SV154 @ SV50 ) ) ) @ SV252 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ ( sK17_SY954 @ SV210 @ SV252 @ SV154 @ SV50 ) ) @ ( sK20_SY1077 @ SV252 @ SV210 @ SV154 @ SV50 ) ) ) @ SV252 ) )
= $true )
| ( ( ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV252 )
= ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV210 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1765]) ).
thf(1812,plain,
! [SV252: $i,SV210: $i,SV154: $i,SV50: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ ( sK17_SY954 @ SV210 @ SV252 @ SV154 @ SV50 ) ) @ ( sK20_SY1077 @ SV252 @ SV210 @ SV154 @ SV50 ) ) ) @ SV210 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ ( sK17_SY954 @ SV210 @ SV252 @ SV154 @ SV50 ) ) @ ( sK20_SY1077 @ SV252 @ SV210 @ SV154 @ SV50 ) ) ) @ SV210 ) )
= $false )
| ( ( ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV252 )
= ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV210 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1766]) ).
thf(1813,plain,
! [SV211: $i,SV253: $i,SV306: $i,SV155: $i,SV51: $i] :
( ( ( ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV155 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV253 ) @ SV155 ) ) @ SV211 ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1768]) ).
thf(1814,plain,
! [SV211: $i,SV253: $i,SV155: $i,SV306: $i,SV51: $i] :
( ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV253 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV253 ) ) @ SV211 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1769]) ).
thf(1815,plain,
! [SV211: $i,SV253: $i,SV306: $i,SV155: $i,SV51: $i] :
( ( ( ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV155 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV253 ) @ SV155 ) ) @ SV211 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV253 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV253 ) ) @ SV211 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1770]) ).
thf(1816,plain,
! [SV54: $i,SV256: $i,SV214: $i,SV158: $i,SV350: $i,SV309: $i] :
( ( ( ! [SY1047: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ SY1047 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ SY1047 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ SY1047 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ SY1047 ) ) ) ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV54 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV158 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV214 )
= ( ti @ arrow_1212486748le_alt @ SV256 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV309 )
= ( ti @ arrow_1212486748le_alt @ SV350 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1771]) ).
thf(1817,plain,
! [SV59: $i,SV160: $i,SV260: $i,SV216: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV59 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV160 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV216 )
= ( ti @ arrow_1212486748le_alt @ SV260 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1772]) ).
thf(1818,plain,
! [SV160: $i,SV59: $i,SV216: $i,SV260: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $false )
| ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV59 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV160 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV216 )
= ( ti @ arrow_1212486748le_alt @ SV260 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1772]) ).
thf(1819,plain,
! [SV75: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1775]) ).
thf(1820,plain,
! [SV75: $i] :
( ( ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1776]) ).
thf(1821,plain,
! [SV75: $i] :
( ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $true )
| ( ( ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1777]) ).
thf(1822,plain,
! [SV75: $i] :
( ( ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1778]) ).
thf(1823,plain,
! [SV75: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1779]) ).
thf(1824,plain,
! [SV75: $i] :
( ( ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1780]) ).
thf(1825,plain,
! [SV75: $i] :
( ( ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) )
= $false )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1781]) ).
thf(1826,plain,
! [SV75: $i] :
( ( ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1782]) ).
thf(1827,plain,
! [SV75: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1782]) ).
thf(1828,plain,
! [SV75: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1783]) ).
thf(1829,plain,
! [SV75: $i] :
( ( ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1784]) ).
thf(1830,plain,
! [SV75: $i] :
( ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1785]) ).
thf(1831,plain,
! [SV75: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) ) )
= $false )
| ( ( ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1786]) ).
thf(1832,plain,
! [SV75: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1787]) ).
thf(1833,plain,
! [SV75: $i] :
( ( ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) ) )
= $true )
| ( ( ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1788]) ).
thf(1834,plain,
! [SV75: $i] :
( ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1790]) ).
thf(1835,plain,
! [SV226: $i,SV276: $i,SV173: $i,SV82: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
= ( ti @ arrow_1212486748le_alt @ SV173 ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
= ( ti @ arrow_1212486748le_alt @ SV276 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ SV226 ) @ SV276 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1791]) ).
thf(1836,plain,
! [SV226: $i,SV173: $i,SV276: $i,SV82: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV173 )
= ( ti @ arrow_1212486748le_alt @ SV276 ) )
= $true )
| ( ( ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ SV226 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ SV226 ) @ SV276 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1792]) ).
thf(1837,plain,
! [SV226: $i,SV276: $i,SV173: $i,SV82: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV173 ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV173 )
= ( ti @ arrow_1212486748le_alt @ SV276 ) )
= $true )
| ( ( ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ SV226 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ SV226 ) @ SV276 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1792]) ).
thf(1838,plain,
! [SV277: $i,SV326: $i,SV84: $i,SV175: $i,SV228: $i,SV358: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV358 )
= ( ti @ arrow_1212486748le_alt @ SV228 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV175 ) @ arrow_1834574746e_Prof ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV84 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY1049: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ SY1049 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ SY1049 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ SY1049 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ SY1049 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) ) ) ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV228 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV358 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1793]) ).
thf(1839,plain,
! [SV370: $i,SV89: $i,SV366: $i,SV380: $i,SV378: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV366 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV370 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV370 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV366 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV370 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV366 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1794]) ).
thf(1840,plain,
! [SV381: $i,SV89: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( sK6_SY617 @ SV89 ) @ SV381 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( sK12_SY1063 @ SV89 ) @ SV381 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1795]) ).
thf(1841,plain,
! [SV381: $i,SV89: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( sK12_SY1063 @ SV89 ) @ SV381 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( sK6_SY617 @ SV89 ) @ SV381 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1796]) ).
thf(1842,plain,
! [SV89: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ ( sK6_SY617 @ SV89 ) ) ) )
= $true )
| ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ ( sK12_SY1063 @ SV89 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ ( sK6_SY617 @ SV89 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1797]) ).
thf(1843,plain,
! [SV89: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ ( sK12_SY1063 @ SV89 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ ( sK6_SY617 @ SV89 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ ( sK12_SY1063 @ SV89 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1798]) ).
thf(1844,plain,
! [SV100: $i] :
( ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
= n )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1801]) ).
thf(1845,plain,
! [SV100: $i] :
( ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
= n )
= $true )
| ( ( ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1802]) ).
thf(1846,plain,
! [SV100: $i] :
( ( ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ c ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1803]) ).
thf(1847,plain,
! [SV100: $i] :
( ( ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) ) )
= $false )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
= n )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1804]) ).
thf(1848,plain,
! [SV100: $i] :
( ( ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ c ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1805]) ).
thf(1849,plain,
! [SV100: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ c ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1805]) ).
thf(1850,plain,
! [SV234: $i,SV285: $i,SV183: $i,SV101: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV101 )
= ( ti @ arrow_1212486748le_alt @ SV183 ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
= ( ti @ arrow_1212486748le_alt @ SV285 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ SV234 ) @ SV285 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1806]) ).
thf(1851,plain,
! [SV234: $i,SV101: $i,SV285: $i,SV183: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV101 )
= ( ti @ arrow_1212486748le_alt @ SV285 ) )
= $true )
| ( ( ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ SV234 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ SV234 ) @ SV285 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1807]) ).
thf(1852,plain,
! [SV234: $i,SV285: $i,SV183: $i,SV101: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV101 )
!= ( ti @ arrow_1212486748le_alt @ SV183 ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV101 )
= ( ti @ arrow_1212486748le_alt @ SV285 ) )
= $true )
| ( ( ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ SV234 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ SV234 ) @ SV285 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1807]) ).
thf(1853,plain,
! [SV288: $i,SV334: $i,SV104: $i,SV184: $i,SV235: $i,SV362: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV362 )
= ( ti @ arrow_1212486748le_alt @ SV235 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV184 ) @ arrow_1834574746e_Prof ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV104 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY1050: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV184 @ SY1050 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV104 @ SY1050 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV104 @ SY1050 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV184 @ SY1050 ) ) ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV184 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV104 ) ) ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
= ( ti @ arrow_1212486748le_alt @ SV288 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV235 )
= ( ti @ arrow_1212486748le_alt @ SV288 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
= ( ti @ arrow_1212486748le_alt @ SV362 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1808]) ).
thf(1854,plain,
! [SV236: $i,SV185: $i,SV336: $i,SV290: $i,SV106: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV106 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ~ ! [SY1044: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ SY1044 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ SY1044 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ SY1044 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ SY1044 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV185 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV336 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV336 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1809]) ).
thf(1855,plain,
! [SV252: $i,SV210: $i,SV154: $i,SV50: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ ( sK17_SY954 @ SV210 @ SV252 @ SV154 @ SV50 ) ) @ ( sK20_SY1077 @ SV252 @ SV210 @ SV154 @ SV50 ) ) ) @ SV210 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ SV50 @ SV154 ) @ ( fun @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ bool ) @ ( member @ ( product_prod @ SV50 @ SV154 ) ) @ ( hAPP @ SV154 @ ( product_prod @ SV50 @ SV154 ) @ ( hAPP @ SV50 @ ( fun @ SV154 @ ( product_prod @ SV50 @ SV154 ) ) @ ( product_Pair @ SV50 @ SV154 ) @ ( sK17_SY954 @ SV210 @ SV252 @ SV154 @ SV50 ) ) @ ( sK20_SY1077 @ SV252 @ SV210 @ SV154 @ SV50 ) ) ) @ SV252 ) )
= $true )
| ( ( ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV252 )
= ( ti @ ( fun @ ( product_prod @ SV50 @ SV154 ) @ bool ) @ SV210 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1810]) ).
thf(1856,plain,
! [SV211: $i,SV253: $i,SV306: $i,SV155: $i,SV51: $i] :
( ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV155 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV253 ) @ SV155 ) ) @ SV211 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1813]) ).
thf(1857,plain,
! [SV211: $i,SV253: $i,SV155: $i,SV306: $i,SV51: $i] :
( ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV253 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV253 ) ) @ SV211 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1814]) ).
thf(1858,plain,
! [SV211: $i,SV253: $i,SV306: $i,SV155: $i,SV51: $i] :
( ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV155 ) ) )
| ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV253 ) @ SV155 ) ) @ SV211 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV253 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV253 ) ) @ SV211 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1815]) ).
thf(1859,plain,
! [SV214: $i,SV256: $i,SV54: $i,SV158: $i,SV350: $i,SV309: $i] :
( ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) ) ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV54 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV158 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV214 )
= ( ti @ arrow_1212486748le_alt @ SV256 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV309 )
= ( ti @ arrow_1212486748le_alt @ SV350 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1816]) ).
thf(1860,plain,
! [SV59: $i,SV160: $i,SV260: $i,SV216: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $true )
| ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV59 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV160 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV216 )
= ( ti @ arrow_1212486748le_alt @ SV260 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1817]) ).
thf(1861,plain,
! [SV160: $i,SV59: $i,SV216: $i,SV260: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV59 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV160 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV216 )
= ( ti @ arrow_1212486748le_alt @ SV260 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1818]) ).
thf(1862,plain,
! [SV75: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1819]) ).
thf(1863,plain,
! [SV75: $i] :
( ( ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1820]) ).
thf(1864,plain,
! [SV75: $i] :
( ( ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) )
= $false )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1821]) ).
thf(1865,plain,
! [SV75: $i] :
( ( ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1822]) ).
thf(1866,plain,
! [SV75: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1822]) ).
thf(1867,plain,
! [SV75: $i] :
( ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1823]) ).
thf(1868,plain,
! [SV75: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1824]) ).
thf(1869,plain,
! [SV75: $i] :
( ( ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) ) )
= $false )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1825]) ).
thf(1870,plain,
! [SV75: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1825]) ).
thf(1871,plain,
! [SV75: $i] :
( ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1826]) ).
thf(1872,plain,
! [SV75: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1827]) ).
thf(1873,plain,
! [SV75: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1828]) ).
thf(1874,plain,
! [SV75: $i] :
( ( ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) ) )
= $true )
| ( ( ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1829]) ).
thf(1875,plain,
! [SV75: $i] :
( ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1831]) ).
thf(1876,plain,
! [SV75: $i] :
( ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1832]) ).
thf(1877,plain,
! [SV75: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) ) )
= $false )
| ( ( ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1833]) ).
thf(1878,plain,
! [SV75: $i] :
( ( ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1834]) ).
thf(1879,plain,
! [SV226: $i,SV173: $i,SV276: $i,SV82: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
= ( ti @ arrow_1212486748le_alt @ SV276 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV173 )
= ( ti @ arrow_1212486748le_alt @ SV276 ) )
= $true )
| ( ( ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ SV226 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ SV226 ) @ SV276 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1836]) ).
thf(1880,plain,
! [SV226: $i,SV276: $i,SV173: $i,SV82: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
= ( ti @ arrow_1212486748le_alt @ SV173 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV173 )
= ( ti @ arrow_1212486748le_alt @ SV276 ) )
= $true )
| ( ( ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ SV226 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ SV226 ) @ SV276 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1837]) ).
thf(1881,plain,
! [SV277: $i,SV228: $i,SV358: $i,SV326: $i,SV84: $i,SV175: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV175 ) @ arrow_1834574746e_Prof ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV84 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY1049: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ SY1049 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ SY1049 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ SY1049 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ SY1049 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) ) ) ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV358 )
= ( ti @ arrow_1212486748le_alt @ SV228 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV228 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV358 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1838]) ).
thf(1882,plain,
! [SV370: $i,SV89: $i,SV366: $i,SV380: $i,SV378: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV366 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV370 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV370 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV366 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV370 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV366 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1839]) ).
thf(1883,plain,
! [SV381: $i,SV89: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( sK6_SY617 @ SV89 ) @ SV381 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( sK12_SY1063 @ SV89 ) @ SV381 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1840]) ).
thf(1884,plain,
! [SV381: $i,SV89: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( sK12_SY1063 @ SV89 ) @ SV381 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( sK6_SY617 @ SV89 ) @ SV381 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1841]) ).
thf(1885,plain,
! [SV89: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ ( sK12_SY1063 @ SV89 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ ( sK6_SY617 @ SV89 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ ( sK6_SY617 @ SV89 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1842]) ).
thf(1886,plain,
! [SV89: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ ( sK12_SY1063 @ SV89 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ ( sK12_SY1063 @ SV89 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1843]) ).
thf(1887,plain,
! [SV89: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ ( sK6_SY617 @ SV89 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ ( sK12_SY1063 @ SV89 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1843]) ).
thf(1888,plain,
! [SV100: $i] :
( ( ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) ) )
= $false )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
= n )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1845]) ).
thf(1889,plain,
! [SV100: $i] :
( ( ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ c ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1846]) ).
thf(1890,plain,
! [SV100: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ c ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1846]) ).
thf(1891,plain,
! [SV100: $i] :
( ( ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n ) ) )
= $false )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
= n )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1847]) ).
thf(1892,plain,
! [SV100: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) )
= $false )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
= n )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1847]) ).
thf(1893,plain,
! [SV100: $i] :
( ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ c ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1848]) ).
thf(1894,plain,
! [SV234: $i,SV101: $i,SV285: $i,SV183: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
= ( ti @ arrow_1212486748le_alt @ SV285 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV101 )
= ( ti @ arrow_1212486748le_alt @ SV285 ) )
= $true )
| ( ( ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ SV234 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ SV234 ) @ SV285 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1851]) ).
thf(1895,plain,
! [SV234: $i,SV285: $i,SV183: $i,SV101: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV101 )
= ( ti @ arrow_1212486748le_alt @ SV183 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV101 )
= ( ti @ arrow_1212486748le_alt @ SV285 ) )
= $true )
| ( ( ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ SV234 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ SV234 ) @ SV285 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1852]) ).
thf(1896,plain,
! [SV288: $i,SV235: $i,SV362: $i,SV334: $i,SV104: $i,SV184: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV184 ) @ arrow_1834574746e_Prof ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV104 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY1050: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV184 @ SY1050 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV104 @ SY1050 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV104 @ SY1050 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV184 @ SY1050 ) ) ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV184 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV104 ) ) ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV362 )
= ( ti @ arrow_1212486748le_alt @ SV235 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
= ( ti @ arrow_1212486748le_alt @ SV288 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV235 )
= ( ti @ arrow_1212486748le_alt @ SV288 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
= ( ti @ arrow_1212486748le_alt @ SV362 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1853]) ).
thf(1897,plain,
! [SV106: $i,SV236: $i,SV185: $i,SV336: $i,SV290: $i] :
( ( ( ~ ! [SY1044: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ SY1044 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ SY1044 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ SY1044 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ SY1044 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV106 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV185 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV336 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV336 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1854]) ).
thf(1898,plain,
! [SV306: $i,SV253: $i,SV211: $i,SV155: $i,SV51: $i] :
( ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV155 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1856]) ).
thf(1899,plain,
! [SV211: $i,SV155: $i,SV253: $i,SV306: $i,SV51: $i] :
( ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV253 ) @ SV155 ) ) @ SV211 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1856]) ).
thf(1900,plain,
! [SV211: $i,SV253: $i,SV155: $i,SV306: $i,SV51: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $false )
| ( ( ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV253 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV253 ) ) @ SV211 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1857]) ).
thf(1901,plain,
! [SV211: $i,SV253: $i,SV306: $i,SV155: $i,SV51: $i] :
( ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV155 ) ) ) )
= $true )
| ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV253 ) @ SV155 ) ) @ SV211 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV253 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV253 ) ) @ SV211 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1858]) ).
thf(1902,plain,
! [SV214: $i,SV256: $i,SV54: $i,SV158: $i,SV350: $i,SV309: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV54 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV158 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV214 )
= ( ti @ arrow_1212486748le_alt @ SV256 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV309 )
= ( ti @ arrow_1212486748le_alt @ SV350 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1859]) ).
thf(1903,plain,
! [SV160: $i,SV59: $i,SV216: $i,SV260: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV59 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV160 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV216 )
= ( ti @ arrow_1212486748le_alt @ SV260 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1860]) ).
thf(1904,plain,
! [SV160: $i,SV59: $i,SV216: $i,SV260: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV59 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV160 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV216 )
= ( ti @ arrow_1212486748le_alt @ SV260 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1861]) ).
thf(1905,plain,
! [SV59: $i,SV160: $i,SV260: $i,SV216: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV59 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV160 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV216 )
= ( ti @ arrow_1212486748le_alt @ SV260 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1861]) ).
thf(1906,plain,
! [SV75: $i] :
( ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1862]) ).
thf(1907,plain,
! [SV75: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1863]) ).
thf(1908,plain,
! [SV75: $i] :
( ( ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) ) )
= $false )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1864]) ).
thf(1909,plain,
! [SV75: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1864]) ).
thf(1910,plain,
! [SV75: $i] :
( ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1865]) ).
thf(1911,plain,
! [SV75: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1866]) ).
thf(1912,plain,
! [SV75: $i] :
( ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1868]) ).
thf(1913,plain,
! [SV75: $i] :
( ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
= $true )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1869]) ).
thf(1914,plain,
! [SV75: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1870]) ).
thf(1915,plain,
! [SV75: $i] :
( ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1871]) ).
thf(1916,plain,
! [SV75: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1872]) ).
thf(1917,plain,
! [SV75: $i] :
( ( ( ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1872]) ).
thf(1918,plain,
! [SV75: $i] :
( ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1873]) ).
thf(1919,plain,
! [SV75: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) ) )
= $false )
| ( ( ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1874]) ).
thf(1920,plain,
! [SV75: $i] :
( ( ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1875]) ).
thf(1921,plain,
! [SV75: $i] :
( ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1877]) ).
thf(1922,plain,
! [SV75: $i] :
( ( ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1878]) ).
thf(1923,plain,
! [SV75: $i] :
( ( ( ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1878]) ).
thf(1924,plain,
! [SV226: $i,SV173: $i,SV276: $i,SV82: $i] :
( ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ SV226 ) ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV173 )
= ( ti @ arrow_1212486748le_alt @ SV276 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
= ( ti @ arrow_1212486748le_alt @ SV276 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ SV226 ) @ SV276 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1879]) ).
thf(1925,plain,
! [SV226: $i,SV173: $i,SV276: $i,SV82: $i] :
( ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ SV226 ) ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV173 )
= ( ti @ arrow_1212486748le_alt @ SV276 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
= ( ti @ arrow_1212486748le_alt @ SV173 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ SV226 ) @ SV276 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1880]) ).
thf(1926,plain,
! [SV277: $i,SV228: $i,SV358: $i,SV326: $i,SV84: $i,SV175: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV175 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV84 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY1049: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ SY1049 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ SY1049 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ SY1049 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ SY1049 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) ) ) ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV358 )
= ( ti @ arrow_1212486748le_alt @ SV228 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV228 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV358 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1881]) ).
thf(1927,plain,
! [SV370: $i,SV89: $i,SV366: $i,SV380: $i,SV378: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV366 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV370 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV370 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV366 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV370 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV366 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1882]) ).
thf(1928,plain,
! [SV381: $i,SV89: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( sK6_SY617 @ SV89 ) @ SV381 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( sK12_SY1063 @ SV89 ) @ SV381 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1883]) ).
thf(1929,plain,
! [SV381: $i,SV89: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( sK12_SY1063 @ SV89 ) @ SV381 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( sK6_SY617 @ SV89 ) @ SV381 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1884]) ).
thf(1930,plain,
! [SV89: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ ( sK12_SY1063 @ SV89 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ ( sK6_SY617 @ SV89 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1885]) ).
thf(1931,plain,
! [SV89: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ ( sK6_SY617 @ SV89 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ ( sK6_SY617 @ SV89 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1885]) ).
thf(1932,plain,
! [SV89: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ ( sK12_SY1063 @ SV89 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ ( sK12_SY1063 @ SV89 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1886]) ).
thf(1933,plain,
! [SV100: $i] :
( ( ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n ) ) )
= $false )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
= n )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1888]) ).
thf(1934,plain,
! [SV100: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) )
= $false )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
= n )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1888]) ).
thf(1935,plain,
! [SV100: $i] :
( ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ c ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1889]) ).
thf(1936,plain,
! [SV100: $i] :
( ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n )
= $true )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
= n )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1891]) ).
thf(1937,plain,
! [SV100: $i] :
( ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
= n )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ c ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1893]) ).
thf(1938,plain,
! [SV234: $i,SV101: $i,SV285: $i,SV183: $i] :
( ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ SV234 ) ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV101 )
= ( ti @ arrow_1212486748le_alt @ SV285 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
= ( ti @ arrow_1212486748le_alt @ SV285 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ SV234 ) @ SV285 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1894]) ).
thf(1939,plain,
! [SV234: $i,SV101: $i,SV285: $i,SV183: $i] :
( ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ SV234 ) ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV101 )
= ( ti @ arrow_1212486748le_alt @ SV285 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV101 )
= ( ti @ arrow_1212486748le_alt @ SV183 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ SV234 ) @ SV285 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1895]) ).
thf(1940,plain,
! [SV288: $i,SV235: $i,SV362: $i,SV334: $i,SV104: $i,SV184: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV184 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV104 ) @ arrow_1834574746e_Prof ) )
| ~ ! [SY1050: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV184 @ SY1050 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV104 @ SY1050 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV104 @ SY1050 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV184 @ SY1050 ) ) ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV184 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV104 ) ) ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV362 )
= ( ti @ arrow_1212486748le_alt @ SV235 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
= ( ti @ arrow_1212486748le_alt @ SV288 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV235 )
= ( ti @ arrow_1212486748le_alt @ SV288 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
= ( ti @ arrow_1212486748le_alt @ SV362 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1896]) ).
thf(1941,plain,
! [SV106: $i,SV236: $i,SV185: $i,SV336: $i,SV290: $i] :
( ( ( ! [SY1044: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ SY1044 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ SY1044 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ SY1044 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ SY1044 ) ) ) ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV106 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV185 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV336 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV336 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1897]) ).
thf(1942,plain,
! [SV306: $i,SV253: $i,SV211: $i,SV155: $i,SV51: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV155 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1898]) ).
thf(1943,plain,
! [SV211: $i,SV155: $i,SV253: $i,SV306: $i,SV51: $i] :
( ( ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV253 ) @ SV155 ) ) @ SV211 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1899]) ).
thf(1944,plain,
! [SV211: $i,SV253: $i,SV155: $i,SV306: $i,SV51: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true )
| ( ( ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV253 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV253 ) ) @ SV211 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1900]) ).
thf(1945,plain,
! [SV211: $i,SV253: $i,SV306: $i,SV155: $i,SV51: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV155 ) )
= $false )
| ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV253 ) @ SV155 ) ) @ SV211 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV253 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV253 ) ) @ SV211 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1901]) ).
thf(1946,plain,
! [SV214: $i,SV256: $i,SV54: $i,SV158: $i,SV350: $i,SV309: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV54 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV158 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV214 )
= ( ti @ arrow_1212486748le_alt @ SV256 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV309 )
= ( ti @ arrow_1212486748le_alt @ SV350 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1902]) ).
thf(1947,plain,
! [SV160: $i,SV59: $i,SV216: $i,SV260: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV59 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV160 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV216 )
= ( ti @ arrow_1212486748le_alt @ SV260 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1903]) ).
thf(1948,plain,
! [SV59: $i,SV160: $i,SV260: $i,SV216: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV59 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV160 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV216 )
= ( ti @ arrow_1212486748le_alt @ SV260 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1903]) ).
thf(1949,plain,
! [SV160: $i,SV59: $i,SV216: $i,SV260: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV59 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV160 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV216 )
= ( ti @ arrow_1212486748le_alt @ SV260 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1904]) ).
thf(1950,plain,
! [SV59: $i,SV160: $i,SV260: $i,SV216: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV59 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV160 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV216 )
= ( ti @ arrow_1212486748le_alt @ SV260 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1905]) ).
thf(1951,plain,
! [SV75: $i] :
( ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1907]) ).
thf(1952,plain,
! [SV75: $i] :
( ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
= $true )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1908]) ).
thf(1953,plain,
! [SV75: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1909]) ).
thf(1954,plain,
! [SV75: $i] :
( ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1910]) ).
thf(1955,plain,
! [SV75: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1911]) ).
thf(1956,plain,
! [SV75: $i] :
( ( ( ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1911]) ).
thf(1957,plain,
! [SV75: $i] :
( ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $false )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1913]) ).
thf(1958,plain,
! [SV75: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1914]) ).
thf(1959,plain,
! [SV75: $i] :
( ( ( ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1914]) ).
thf(1960,plain,
! [SV75: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) )
= $false )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1915]) ).
thf(1961,plain,
! [SV75: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1916]) ).
thf(1962,plain,
! [SV75: $i] :
( ( ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1917]) ).
thf(1963,plain,
! [SV75: $i] :
( ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1919]) ).
thf(1964,plain,
! [SV75: $i] :
( ( ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1920]) ).
thf(1965,plain,
! [SV75: $i] :
( ( ( ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1920]) ).
thf(1966,plain,
! [SV75: $i] :
( ( ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1921]) ).
thf(1967,plain,
! [SV75: $i] :
( ( ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1922]) ).
thf(1968,plain,
! [SV75: $i] :
( ( ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1923]) ).
thf(1969,plain,
! [SV226: $i,SV173: $i,SV276: $i,SV82: $i] :
( ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) ) ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV173 )
= ( ti @ arrow_1212486748le_alt @ SV276 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
= ( ti @ arrow_1212486748le_alt @ SV276 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ SV226 ) @ SV276 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1924]) ).
thf(1970,plain,
! [SV276: $i,SV226: $i,SV173: $i,SV82: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ SV226 ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV173 )
= ( ti @ arrow_1212486748le_alt @ SV276 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
= ( ti @ arrow_1212486748le_alt @ SV276 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ SV226 ) @ SV276 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1924]) ).
thf(1971,plain,
! [SV226: $i,SV173: $i,SV276: $i,SV82: $i] :
( ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) ) ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV173 )
= ( ti @ arrow_1212486748le_alt @ SV276 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
= ( ti @ arrow_1212486748le_alt @ SV173 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ SV226 ) @ SV276 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1925]) ).
thf(1972,plain,
! [SV276: $i,SV226: $i,SV173: $i,SV82: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ SV226 ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV173 )
= ( ti @ arrow_1212486748le_alt @ SV276 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
= ( ti @ arrow_1212486748le_alt @ SV173 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ SV226 ) @ SV276 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1925]) ).
thf(1973,plain,
! [SV277: $i,SV228: $i,SV175: $i,SV358: $i,SV326: $i,SV84: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV84 ) @ arrow_1834574746e_Prof ) ) )
= $true )
| ( ( ~ ! [SY1049: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ SY1049 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ SY1049 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ SY1049 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ SY1049 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV175 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV358 )
= ( ti @ arrow_1212486748le_alt @ SV228 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV228 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV358 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1926]) ).
thf(1974,plain,
! [SV370: $i,SV89: $i,SV366: $i,SV380: $i,SV378: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV366 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV370 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV366 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV370 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV366 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1927]) ).
thf(1975,plain,
! [SV366: $i,SV89: $i,SV370: $i,SV380: $i,SV378: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV370 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $false )
| ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV370 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV366 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV370 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV366 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1927]) ).
thf(1976,plain,
! [SV89: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ ( sK12_SY1063 @ SV89 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( sK21_SY1070 @ SV89 ) ) @ ( sK22_SY1086 @ SV89 ) ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ ( sK6_SY617 @ SV89 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1930]) ).
thf(1977,plain,
! [SV100: $i] :
( ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
!= n )
= $true )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
= n )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1933]) ).
thf(1978,plain,
! [SV100: $i] :
( ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
= n )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ c ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1935]) ).
thf(1979,plain,
! [SV100: $i] :
( ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
= n )
= $false )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
= n )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1936]) ).
thf(1980,plain,
! [SV234: $i,SV101: $i,SV285: $i,SV183: $i] :
( ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) ) ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV101 )
= ( ti @ arrow_1212486748le_alt @ SV285 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
= ( ti @ arrow_1212486748le_alt @ SV285 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ SV234 ) @ SV285 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1938]) ).
thf(1981,plain,
! [SV285: $i,SV234: $i,SV183: $i,SV101: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ SV234 ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV101 )
= ( ti @ arrow_1212486748le_alt @ SV285 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
= ( ti @ arrow_1212486748le_alt @ SV285 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ SV234 ) @ SV285 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1938]) ).
thf(1982,plain,
! [SV234: $i,SV101: $i,SV285: $i,SV183: $i] :
( ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) ) ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV101 )
= ( ti @ arrow_1212486748le_alt @ SV285 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV101 )
= ( ti @ arrow_1212486748le_alt @ SV183 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ SV234 ) @ SV285 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1939]) ).
thf(1983,plain,
! [SV285: $i,SV234: $i,SV183: $i,SV101: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ SV234 ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV101 )
= ( ti @ arrow_1212486748le_alt @ SV285 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV101 )
= ( ti @ arrow_1212486748le_alt @ SV183 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ SV234 ) @ SV285 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1939]) ).
thf(1984,plain,
! [SV288: $i,SV235: $i,SV184: $i,SV362: $i,SV334: $i,SV104: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV104 ) @ arrow_1834574746e_Prof ) ) )
= $true )
| ( ( ~ ! [SY1050: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV184 @ SY1050 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV104 @ SY1050 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV104 @ SY1050 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV184 @ SY1050 ) ) ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV184 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV104 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV184 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV362 )
= ( ti @ arrow_1212486748le_alt @ SV235 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
= ( ti @ arrow_1212486748le_alt @ SV288 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV235 )
= ( ti @ arrow_1212486748le_alt @ SV288 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
= ( ti @ arrow_1212486748le_alt @ SV362 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1940]) ).
thf(1985,plain,
! [SV236: $i,SV106: $i,SV185: $i,SV336: $i,SV290: $i] :
( ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) ) ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV106 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV185 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV336 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV336 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1941]) ).
thf(1986,plain,
! [SV306: $i,SV253: $i,SV211: $i,SV155: $i,SV51: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV155 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1942]) ).
thf(1987,plain,
! [SV211: $i,SV155: $i,SV253: $i,SV306: $i,SV51: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV253 ) @ SV155 ) ) @ SV211 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1943]) ).
thf(1988,plain,
! [SV211: $i,SV253: $i,SV51: $i,SV306: $i,SV155: $i] :
( ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV253 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV253 ) ) @ SV211 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) ) ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1944]) ).
thf(1989,plain,
! [SV211: $i,SV253: $i,SV306: $i,SV155: $i,SV51: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV155 ) )
= $true )
| ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV253 ) @ SV155 ) ) @ SV211 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV253 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV253 ) ) @ SV211 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1945]) ).
thf(1990,plain,
! [SV214: $i,SV256: $i,SV54: $i,SV158: $i,SV350: $i,SV309: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV54 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV158 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV214 )
= ( ti @ arrow_1212486748le_alt @ SV256 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV309 )
= ( ti @ arrow_1212486748le_alt @ SV350 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1946]) ).
thf(1991,plain,
! [SV160: $i,SV59: $i,SV216: $i,SV260: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV59 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV160 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV216 )
= ( ti @ arrow_1212486748le_alt @ SV260 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1947]) ).
thf(1992,plain,
! [SV59: $i,SV160: $i,SV260: $i,SV216: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV59 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV160 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV216 )
= ( ti @ arrow_1212486748le_alt @ SV260 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1948]) ).
thf(1993,plain,
! [SV59: $i,SV160: $i,SV260: $i,SV216: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV59 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV160 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV216 )
= ( ti @ arrow_1212486748le_alt @ SV260 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1949]) ).
thf(1994,plain,
! [SV59: $i,SV160: $i,SV260: $i,SV216: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV59 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV160 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV216 )
= ( ti @ arrow_1212486748le_alt @ SV260 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1950]) ).
thf(1995,plain,
! [SV160: $i,SV59: $i,SV216: $i,SV260: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV59 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV160 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV216 )
= ( ti @ arrow_1212486748le_alt @ SV260 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1950]) ).
thf(1996,plain,
! [SV75: $i] :
( ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $false )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1952]) ).
thf(1997,plain,
! [SV75: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1953]) ).
thf(1998,plain,
! [SV75: $i] :
( ( ( ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1953]) ).
thf(1999,plain,
! [SV75: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) )
= $false )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1954]) ).
thf(2000,plain,
! [SV75: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1955]) ).
thf(2001,plain,
! [SV75: $i] :
( ( ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1956]) ).
thf(2002,plain,
! [SV75: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $true )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1957]) ).
thf(2003,plain,
! [SV75: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1958]) ).
thf(2004,plain,
! [SV75: $i] :
( ( ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1959]) ).
thf(2005,plain,
! [SV75: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) )
= $false )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1960]) ).
thf(2006,plain,
! [SV75: $i] :
( ( ( ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) )
= $false )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1960]) ).
thf(2007,plain,
! [SV75: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1961]) ).
thf(2008,plain,
! [SV75: $i] :
( ( ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1962]) ).
thf(2009,plain,
! [SV75: $i] :
( ( ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) )
| ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1963]) ).
thf(2010,plain,
! [SV75: $i] :
( ( ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1964]) ).
thf(2011,plain,
! [SV75: $i] :
( ( ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1965]) ).
thf(2012,plain,
! [SV75: $i] :
( ( ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1966]) ).
thf(2013,plain,
! [SV75: $i] :
( ( ( ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1966]) ).
thf(2014,plain,
! [SV75: $i] :
( ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1967]) ).
thf(2015,plain,
! [SV75: $i] :
( ( ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1968]) ).
thf(2016,plain,
! [SV226: $i,SV173: $i,SV276: $i,SV82: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV173 )
= ( ti @ arrow_1212486748le_alt @ SV276 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
= ( ti @ arrow_1212486748le_alt @ SV276 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ SV226 ) @ SV276 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1969]) ).
thf(2017,plain,
! [SV226: $i,SV173: $i,SV276: $i,SV82: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
!= ( ti @ arrow_1212486748le_alt @ SV276 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV173 )
= ( ti @ arrow_1212486748le_alt @ SV276 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
= ( ti @ arrow_1212486748le_alt @ SV173 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ SV226 ) @ SV276 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1971]) ).
thf(2018,plain,
! [SV277: $i,SV228: $i,SV175: $i,SV358: $i,SV326: $i,SV84: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV84 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ~ ! [SY1049: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ SY1049 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ SY1049 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ SY1049 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ SY1049 ) ) ) ) )
| ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV175 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV358 )
= ( ti @ arrow_1212486748le_alt @ SV228 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV228 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV358 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1973]) ).
thf(2019,plain,
! [SV370: $i,SV89: $i,SV366: $i,SV380: $i,SV378: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV366 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $true )
| ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV370 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV366 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV370 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV366 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1974]) ).
thf(2020,plain,
! [SV366: $i,SV89: $i,SV370: $i,SV380: $i,SV378: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV370 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV366 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV370 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV370 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV366 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1975]) ).
thf(2021,plain,
! [SV100: $i] :
( ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
= n )
= $false )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 )
= n )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV100 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ c ) @ d ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV100 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1977]) ).
thf(2022,plain,
! [SV234: $i,SV101: $i,SV285: $i,SV183: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV101 )
= ( ti @ arrow_1212486748le_alt @ SV285 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
= ( ti @ arrow_1212486748le_alt @ SV285 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ SV234 ) @ SV285 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1980]) ).
thf(2023,plain,
! [SV234: $i,SV101: $i,SV285: $i,SV183: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
!= ( ti @ arrow_1212486748le_alt @ SV285 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV101 )
= ( ti @ arrow_1212486748le_alt @ SV285 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV101 )
= ( ti @ arrow_1212486748le_alt @ SV183 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ SV234 ) @ SV285 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1982]) ).
thf(2024,plain,
! [SV288: $i,SV235: $i,SV184: $i,SV362: $i,SV334: $i,SV104: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV104 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ~ ! [SY1050: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV184 @ SY1050 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV104 @ SY1050 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV104 @ SY1050 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV184 @ SY1050 ) ) ) ) )
| ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV184 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV104 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV184 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV362 )
= ( ti @ arrow_1212486748le_alt @ SV235 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
= ( ti @ arrow_1212486748le_alt @ SV288 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV235 )
= ( ti @ arrow_1212486748le_alt @ SV288 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
= ( ti @ arrow_1212486748le_alt @ SV362 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1984]) ).
thf(2025,plain,
! [SV236: $i,SV106: $i,SV185: $i,SV336: $i,SV290: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV106 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV185 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV336 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV336 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1985]) ).
thf(2026,plain,
! [SV211: $i,SV155: $i,SV253: $i,SV306: $i,SV51: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV253 ) @ SV155 ) ) @ SV211 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1987]) ).
thf(2027,plain,
! [SV211: $i,SV253: $i,SV51: $i,SV306: $i,SV155: $i] :
( ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV253 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV253 ) ) @ SV211 ) ) ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1988]) ).
thf(2028,plain,
! [SV253: $i,SV211: $i,SV51: $i,SV306: $i,SV155: $i] :
( ( ( ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) ) ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1988]) ).
thf(2029,plain,
! [SV211: $i,SV155: $i,SV253: $i,SV306: $i,SV51: $i] :
( ( ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV253 ) @ SV155 ) ) @ SV211 ) ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV155 ) )
= $true )
| ( ( ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV253 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV253 ) ) @ SV211 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1989]) ).
thf(2030,plain,
! [SV214: $i,SV256: $i,SV54: $i,SV158: $i,SV350: $i,SV309: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV54 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV158 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV214 )
= ( ti @ arrow_1212486748le_alt @ SV256 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV309 )
= ( ti @ arrow_1212486748le_alt @ SV350 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1990]) ).
thf(2031,plain,
! [SV309: $i,SV350: $i,SV158: $i,SV54: $i,SV256: $i,SV214: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $false )
| ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV54 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV158 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV214 )
= ( ti @ arrow_1212486748le_alt @ SV256 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV309 )
= ( ti @ arrow_1212486748le_alt @ SV350 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1990]) ).
thf(2032,plain,
! [SV59: $i,SV160: $i,SV260: $i,SV216: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV59 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV160 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV216 )
= ( ti @ arrow_1212486748le_alt @ SV260 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1991]) ).
thf(2033,plain,
! [SV59: $i,SV160: $i,SV260: $i,SV216: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV59 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV160 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV216 )
= ( ti @ arrow_1212486748le_alt @ SV260 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1992]) ).
thf(2034,plain,
! [SV160: $i,SV59: $i,SV216: $i,SV260: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV59 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV160 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV216 )
= ( ti @ arrow_1212486748le_alt @ SV260 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1992]) ).
thf(2035,plain,
! [SV59: $i,SV160: $i,SV260: $i,SV216: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV59 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV160 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV216 )
= ( ti @ arrow_1212486748le_alt @ SV260 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1993]) ).
thf(2036,plain,
! [SV160: $i,SV59: $i,SV216: $i,SV260: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV59 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV160 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV216 )
= ( ti @ arrow_1212486748le_alt @ SV260 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1993]) ).
thf(2037,plain,
! [SV59: $i,SV160: $i,SV260: $i,SV216: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV59 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV160 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV216 )
= ( ti @ arrow_1212486748le_alt @ SV260 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1994]) ).
thf(2038,plain,
! [SV160: $i,SV59: $i,SV216: $i,SV260: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV59 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV160 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV216 )
= ( ti @ arrow_1212486748le_alt @ SV260 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1995]) ).
thf(2039,plain,
! [SV75: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
| ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $true )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1996]) ).
thf(2040,plain,
! [SV75: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1997]) ).
thf(2041,plain,
! [SV75: $i] :
( ( ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1998]) ).
thf(2042,plain,
! [SV75: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) )
= $false )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1999]) ).
thf(2043,plain,
! [SV75: $i] :
( ( ( ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) )
= $false )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1999]) ).
thf(2044,plain,
! [SV75: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2000]) ).
thf(2045,plain,
! [SV75: $i] :
( ( ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2001]) ).
thf(2046,plain,
! [SV75: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $true )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2002]) ).
thf(2047,plain,
! [SV75: $i] :
( ( ( ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $true )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2002]) ).
thf(2048,plain,
! [SV75: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2003]) ).
thf(2049,plain,
! [SV75: $i] :
( ( ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2004]) ).
thf(2050,plain,
! [SV75: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) )
= $false )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2005]) ).
thf(2051,plain,
! [SV75: $i] :
( ( ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) )
= $false )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2006]) ).
thf(2052,plain,
! [SV75: $i] :
( ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2007]) ).
thf(2053,plain,
! [SV75: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2008]) ).
thf(2054,plain,
! [SV75: $i] :
( ( ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2009]) ).
thf(2055,plain,
! [SV75: $i] :
( ( ( ~ ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2009]) ).
thf(2056,plain,
! [SV75: $i] :
( ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2010]) ).
thf(2057,plain,
! [SV75: $i] :
( ( ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2011]) ).
thf(2058,plain,
! [SV75: $i] :
( ( ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2012]) ).
thf(2059,plain,
! [SV75: $i] :
( ( ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2013]) ).
thf(2060,plain,
! [SV75: $i] :
( ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2014]) ).
thf(2061,plain,
! [SV75: $i] :
( ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2015]) ).
thf(2062,plain,
! [SV226: $i,SV173: $i,SV276: $i,SV82: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
= ( ti @ arrow_1212486748le_alt @ SV276 ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV173 )
= ( ti @ arrow_1212486748le_alt @ SV276 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
= ( ti @ arrow_1212486748le_alt @ SV276 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ SV226 ) @ SV276 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2016]) ).
thf(2063,plain,
! [SV226: $i,SV173: $i,SV276: $i,SV82: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
= ( ti @ arrow_1212486748le_alt @ SV276 ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV173 )
= ( ti @ arrow_1212486748le_alt @ SV276 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV82 )
= ( ti @ arrow_1212486748le_alt @ SV173 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV82 ) @ SV173 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ SV226 ) @ SV276 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2017]) ).
thf(2064,plain,
! [SV84: $i,SV277: $i,SV228: $i,SV175: $i,SV358: $i,SV326: $i] :
( ( ( ~ ! [SY1049: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ SY1049 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ SY1049 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ SY1049 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ SY1049 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV84 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV175 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV358 )
= ( ti @ arrow_1212486748le_alt @ SV228 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV228 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV358 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2018]) ).
thf(2065,plain,
! [SV366: $i,SV89: $i,SV370: $i,SV380: $i,SV378: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV370 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV366 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV366 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV370 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV366 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2019]) ).
thf(2066,plain,
! [SV366: $i,SV89: $i,SV370: $i,SV380: $i,SV378: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV370 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV370 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV370 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV366 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2020]) ).
thf(2067,plain,
! [SV370: $i,SV89: $i,SV366: $i,SV380: $i,SV378: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV366 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV370 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV370 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV366 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2020]) ).
thf(2068,plain,
! [SV234: $i,SV101: $i,SV285: $i,SV183: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
= ( ti @ arrow_1212486748le_alt @ SV285 ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV101 )
= ( ti @ arrow_1212486748le_alt @ SV285 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
= ( ti @ arrow_1212486748le_alt @ SV285 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ SV234 ) @ SV285 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2022]) ).
thf(2069,plain,
! [SV234: $i,SV101: $i,SV285: $i,SV183: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV183 )
= ( ti @ arrow_1212486748le_alt @ SV285 ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV101 )
= ( ti @ arrow_1212486748le_alt @ SV285 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV101 )
= ( ti @ arrow_1212486748le_alt @ SV183 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV101 ) @ SV183 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ SV234 ) @ SV285 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2023]) ).
thf(2070,plain,
! [SV104: $i,SV288: $i,SV235: $i,SV184: $i,SV362: $i,SV334: $i] :
( ( ( ~ ! [SY1050: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV184 @ SY1050 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV104 @ SY1050 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV104 @ SY1050 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV184 @ SY1050 ) ) ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV184 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV104 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV104 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV184 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV362 )
= ( ti @ arrow_1212486748le_alt @ SV235 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
= ( ti @ arrow_1212486748le_alt @ SV288 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV235 )
= ( ti @ arrow_1212486748le_alt @ SV288 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
= ( ti @ arrow_1212486748le_alt @ SV362 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2024]) ).
thf(2071,plain,
! [SV236: $i,SV106: $i,SV185: $i,SV336: $i,SV290: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV106 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV185 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV336 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV336 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2025]) ).
thf(2072,plain,
! [SV211: $i,SV253: $i,SV51: $i,SV306: $i,SV155: $i] :
( ( ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV253 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV253 ) ) @ SV211 ) ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2027]) ).
thf(2073,plain,
! [SV253: $i,SV211: $i,SV51: $i,SV306: $i,SV155: $i] :
( ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2028]) ).
thf(2074,plain,
! [SV211: $i,SV253: $i,SV155: $i,SV306: $i,SV51: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV155 ) )
= $true )
| ( ( ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV253 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV253 ) ) @ SV211 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2029]) ).
thf(2075,plain,
! [SV306: $i,SV51: $i,SV211: $i,SV155: $i,SV253: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV253 ) @ SV155 ) ) @ SV211 ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV155 ) )
= $true )
| ( ( ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV253 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV253 ) ) @ SV211 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2029]) ).
thf(2076,plain,
! [SV214: $i,SV256: $i,SV54: $i,SV158: $i,SV350: $i,SV309: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $true )
| ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV54 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV158 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV214 )
= ( ti @ arrow_1212486748le_alt @ SV256 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV309 )
= ( ti @ arrow_1212486748le_alt @ SV350 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2030]) ).
thf(2077,plain,
! [SV309: $i,SV350: $i,SV158: $i,SV54: $i,SV256: $i,SV214: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV54 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV158 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV214 )
= ( ti @ arrow_1212486748le_alt @ SV256 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV309 )
= ( ti @ arrow_1212486748le_alt @ SV350 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2031]) ).
thf(2078,plain,
! [SV59: $i,SV160: $i,SV260: $i,SV216: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV59 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV160 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV216 )
= ( ti @ arrow_1212486748le_alt @ SV260 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2032]) ).
thf(2079,plain,
! [SV160: $i,SV59: $i,SV216: $i,SV260: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV59 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV160 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV216 )
= ( ti @ arrow_1212486748le_alt @ SV260 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2032]) ).
thf(2080,plain,
! [SV59: $i,SV160: $i,SV260: $i,SV216: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV59 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV160 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV216 )
= ( ti @ arrow_1212486748le_alt @ SV260 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2033]) ).
thf(2081,plain,
! [SV160: $i,SV59: $i,SV216: $i,SV260: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV59 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV160 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV216 )
= ( ti @ arrow_1212486748le_alt @ SV260 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2034]) ).
thf(2082,plain,
! [SV59: $i,SV160: $i,SV260: $i,SV216: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV59 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV160 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV216 )
= ( ti @ arrow_1212486748le_alt @ SV260 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2035]) ).
thf(2083,plain,
! [SV160: $i,SV59: $i,SV216: $i,SV260: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV59 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV160 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV216 )
= ( ti @ arrow_1212486748le_alt @ SV260 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2036]) ).
thf(2084,plain,
! [SV59: $i,SV160: $i,SV260: $i,SV216: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV59 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV160 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV216 )
= ( ti @ arrow_1212486748le_alt @ SV260 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2037]) ).
thf(2085,plain,
! [SV160: $i,SV59: $i,SV216: $i,SV260: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV59 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV160 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV216 )
= ( ti @ arrow_1212486748le_alt @ SV260 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2038]) ).
thf(2086,plain,
! [SV75: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $true )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2039]) ).
thf(2087,plain,
! [SV75: $i] :
( ( ( ~ ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $true )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2039]) ).
thf(2088,plain,
! [SV75: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2040]) ).
thf(2089,plain,
! [SV75: $i] :
( ( ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2041]) ).
thf(2090,plain,
! [SV75: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) )
= $false )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2042]) ).
thf(2091,plain,
! [SV75: $i] :
( ( ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) )
= $false )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2043]) ).
thf(2092,plain,
! [SV75: $i] :
( ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2044]) ).
thf(2093,plain,
! [SV75: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2045]) ).
thf(2094,plain,
! [SV75: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $true )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2046]) ).
thf(2095,plain,
! [SV75: $i] :
( ( ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $true )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2047]) ).
thf(2096,plain,
! [SV75: $i] :
( ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2048]) ).
thf(2097,plain,
! [SV75: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2049]) ).
thf(2098,plain,
! [SV75: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) )
= $false )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2050]) ).
thf(2099,plain,
! [SV75: $i] :
( ( ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) )
= $false )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2051]) ).
thf(2100,plain,
! [SV75: $i] :
( ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2053]) ).
thf(2101,plain,
! [SV75: $i] :
( ( ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2054]) ).
thf(2102,plain,
! [SV75: $i] :
( ( ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2055]) ).
thf(2103,plain,
! [SV75: $i] :
( ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2056]) ).
thf(2104,plain,
! [SV75: $i] :
( ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2057]) ).
thf(2105,plain,
! [SV75: $i] :
( ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2058]) ).
thf(2106,plain,
! [SV75: $i] :
( ( ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2059]) ).
thf(2107,plain,
! [SV75: $i] :
( ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2061]) ).
thf(2108,plain,
! [SV84: $i,SV277: $i,SV228: $i,SV175: $i,SV358: $i,SV326: $i] :
( ( ( ! [SY1049: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ SY1049 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ SY1049 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ SY1049 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ SY1049 ) ) ) ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV84 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV175 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV358 )
= ( ti @ arrow_1212486748le_alt @ SV228 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV228 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV358 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2064]) ).
thf(2109,plain,
! [SV366: $i,SV89: $i,SV370: $i,SV380: $i,SV378: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV370 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV366 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV370 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV366 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2065]) ).
thf(2110,plain,
! [SV370: $i,SV89: $i,SV366: $i,SV380: $i,SV378: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV366 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV366 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV370 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV366 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2065]) ).
thf(2111,plain,
! [SV366: $i,SV89: $i,SV370: $i,SV380: $i,SV378: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV370 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV370 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV370 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV366 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2066]) ).
thf(2112,plain,
! [SV370: $i,SV366: $i,SV89: $i,SV380: $i,SV378: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV370 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV366 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV370 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV366 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2067]) ).
thf(2113,plain,
! [SV104: $i,SV288: $i,SV235: $i,SV184: $i,SV362: $i,SV334: $i] :
( ( ( ! [SY1050: $i] :
~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV184 @ SY1050 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV104 @ SY1050 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV104 @ SY1050 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV184 @ SY1050 ) ) ) ) ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV184 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV104 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV104 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV184 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV362 )
= ( ti @ arrow_1212486748le_alt @ SV235 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
= ( ti @ arrow_1212486748le_alt @ SV288 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV235 )
= ( ti @ arrow_1212486748le_alt @ SV288 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
= ( ti @ arrow_1212486748le_alt @ SV362 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2070]) ).
thf(2114,plain,
! [SV236: $i,SV106: $i,SV185: $i,SV336: $i,SV290: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV106 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV185 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV336 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV336 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2071]) ).
thf(2115,plain,
! [SV211: $i,SV253: $i,SV51: $i,SV306: $i,SV155: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true )
| ( ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV253 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV253 ) ) @ SV211 ) ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2072]) ).
thf(2116,plain,
! [SV253: $i,SV211: $i,SV51: $i,SV306: $i,SV155: $i] :
( ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2073]) ).
thf(2117,plain,
! [SV211: $i,SV253: $i,SV155: $i,SV306: $i,SV51: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV155 ) )
= $true )
| ( ( ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV253 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV253 ) ) @ SV211 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2074]) ).
thf(2118,plain,
! [SV211: $i,SV253: $i,SV155: $i,SV306: $i,SV51: $i] :
( ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV253 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV253 ) ) @ SV211 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) ) ) ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV155 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV253 ) @ SV155 ) ) @ SV211 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2075]) ).
thf(2119,plain,
! [SV309: $i,SV350: $i,SV158: $i,SV54: $i,SV256: $i,SV214: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV54 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV158 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV214 )
= ( ti @ arrow_1212486748le_alt @ SV256 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV309 )
= ( ti @ arrow_1212486748le_alt @ SV350 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2076]) ).
thf(2120,plain,
! [SV309: $i,SV350: $i,SV158: $i,SV54: $i,SV256: $i,SV214: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV54 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV158 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV214 )
= ( ti @ arrow_1212486748le_alt @ SV256 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV309 )
= ( ti @ arrow_1212486748le_alt @ SV350 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2077]) ).
thf(2121,plain,
! [SV214: $i,SV256: $i,SV54: $i,SV158: $i,SV350: $i,SV309: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV54 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV158 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV214 )
= ( ti @ arrow_1212486748le_alt @ SV256 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV309 )
= ( ti @ arrow_1212486748le_alt @ SV350 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2077]) ).
thf(2122,plain,
! [SV59: $i,SV160: $i,SV260: $i,SV216: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV59 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV160 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV216 )
= ( ti @ arrow_1212486748le_alt @ SV260 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2078]) ).
thf(2123,plain,
! [SV160: $i,SV59: $i,SV216: $i,SV260: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV59 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV160 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV216 )
= ( ti @ arrow_1212486748le_alt @ SV260 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2079]) ).
thf(2124,plain,
! [SV59: $i,SV160: $i,SV260: $i,SV216: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV59 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV160 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV216 )
= ( ti @ arrow_1212486748le_alt @ SV260 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2080]) ).
thf(2125,plain,
! [SV160: $i,SV59: $i,SV216: $i,SV260: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV59 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV160 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV216 )
= ( ti @ arrow_1212486748le_alt @ SV260 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2081]) ).
thf(2126,plain,
! [SV59: $i,SV160: $i,SV260: $i,SV216: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV59 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV160 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV216 )
= ( ti @ arrow_1212486748le_alt @ SV260 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2082]) ).
thf(2127,plain,
! [SV160: $i,SV59: $i,SV216: $i,SV260: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV59 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV160 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV216 )
= ( ti @ arrow_1212486748le_alt @ SV260 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2083]) ).
thf(2128,plain,
! [SV59: $i,SV160: $i,SV260: $i,SV216: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV59 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV160 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV216 )
= ( ti @ arrow_1212486748le_alt @ SV260 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2084]) ).
thf(2129,plain,
! [SV160: $i,SV59: $i,SV216: $i,SV260: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV59 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV160 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV216 )
= ( ti @ arrow_1212486748le_alt @ SV260 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2085]) ).
thf(2130,plain,
! [SV75: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $true )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2086]) ).
thf(2131,plain,
! [SV75: $i] :
( ( ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $true )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2087]) ).
thf(2132,plain,
! [SV75: $i] :
( ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2088]) ).
thf(2133,plain,
! [SV75: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2089]) ).
thf(2134,plain,
! [SV75: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) )
= $false )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2090]) ).
thf(2135,plain,
! [SV75: $i] :
( ( ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) )
= $false )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2091]) ).
thf(2136,plain,
! [SV75: $i] :
( ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2093]) ).
thf(2137,plain,
! [SV75: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $true )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2094]) ).
thf(2138,plain,
! [SV75: $i] :
( ( ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $true )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2095]) ).
thf(2139,plain,
! [SV75: $i] :
( ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2097]) ).
thf(2140,plain,
! [SV75: $i] :
( ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) )
= $false )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2098]) ).
thf(2141,plain,
! [SV75: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) )
= $false )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2099]) ).
thf(2142,plain,
! [SV75: $i] :
( ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2101]) ).
thf(2143,plain,
! [SV75: $i] :
( ( ( ~ ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2102]) ).
thf(2144,plain,
! [SV75: $i] :
( ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2104]) ).
thf(2145,plain,
! [SV75: $i] :
( ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2105]) ).
thf(2146,plain,
! [SV75: $i] :
( ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2106]) ).
thf(2147,plain,
! [SV228: $i,SV277: $i,SV84: $i,SV175: $i,SV358: $i,SV326: $i] :
( ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) ) ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV84 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV175 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV358 )
= ( ti @ arrow_1212486748le_alt @ SV228 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV228 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV358 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2108]) ).
thf(2148,plain,
! [SV366: $i,SV89: $i,SV370: $i,SV380: $i,SV378: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV370 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV366 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV370 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV366 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2109]) ).
thf(2149,plain,
! [SV370: $i,SV366: $i,SV89: $i,SV380: $i,SV378: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV366 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV366 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV370 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV366 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2110]) ).
thf(2150,plain,
! [SV370: $i,SV366: $i,SV89: $i,SV380: $i,SV378: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV370 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV370 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV370 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV366 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2111]) ).
thf(2151,plain,
! [SV370: $i,SV366: $i,SV89: $i,SV380: $i,SV378: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV370 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV366 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV370 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV366 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2112]) ).
thf(2152,plain,
! [SV366: $i,SV370: $i,SV89: $i,SV380: $i,SV378: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV370 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV366 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV370 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV366 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2112]) ).
thf(2153,plain,
! [SV235: $i,SV288: $i,SV104: $i,SV184: $i,SV362: $i,SV334: $i] :
( ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV184 @ ( sK30_SY1050 @ SV104 @ SV288 @ SV235 @ SV184 @ SV362 @ SV334 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV104 @ ( sK30_SY1050 @ SV104 @ SV288 @ SV235 @ SV184 @ SV362 @ SV334 ) ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV104 @ ( sK30_SY1050 @ SV104 @ SV288 @ SV235 @ SV184 @ SV362 @ SV334 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV184 @ ( sK30_SY1050 @ SV104 @ SV288 @ SV235 @ SV184 @ SV362 @ SV334 ) ) ) ) ) ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV184 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV104 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV104 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV184 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV362 )
= ( ti @ arrow_1212486748le_alt @ SV235 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
= ( ti @ arrow_1212486748le_alt @ SV288 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV235 )
= ( ti @ arrow_1212486748le_alt @ SV288 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
= ( ti @ arrow_1212486748le_alt @ SV362 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2113]) ).
thf(2154,plain,
! [SV236: $i,SV106: $i,SV185: $i,SV336: $i,SV290: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV106 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV185 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV336 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV336 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2114]) ).
thf(2155,plain,
! [SV290: $i,SV185: $i,SV106: $i,SV236: $i,SV336: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $false )
| ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV106 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV185 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV336 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV336 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2114]) ).
thf(2156,plain,
! [SV211: $i,SV253: $i,SV51: $i,SV306: $i,SV155: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $false )
| ( ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV253 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV253 ) ) @ SV211 ) ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2115]) ).
thf(2157,plain,
! [SV253: $i,SV211: $i,SV51: $i,SV306: $i,SV155: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2116]) ).
thf(2158,plain,
! [SV211: $i,SV253: $i,SV155: $i,SV306: $i,SV51: $i] :
( ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV253 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV253 ) ) @ SV211 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) ) ) ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV155 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2117]) ).
thf(2159,plain,
! [SV211: $i,SV253: $i,SV155: $i,SV306: $i,SV51: $i] :
( ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV155 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV253 ) @ SV155 ) ) @ SV211 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2118]) ).
thf(2160,plain,
! [SV211: $i,SV253: $i,SV51: $i,SV306: $i,SV155: $i] :
( ( ( ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV253 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV253 ) ) @ SV211 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) ) ) ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV155 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV253 ) @ SV155 ) ) @ SV211 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2118]) ).
thf(2161,plain,
! [SV309: $i,SV350: $i,SV158: $i,SV54: $i,SV256: $i,SV214: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV54 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV158 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV214 )
= ( ti @ arrow_1212486748le_alt @ SV256 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV309 )
= ( ti @ arrow_1212486748le_alt @ SV350 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2119]) ).
thf(2162,plain,
! [SV214: $i,SV256: $i,SV54: $i,SV158: $i,SV350: $i,SV309: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV54 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV158 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV214 )
= ( ti @ arrow_1212486748le_alt @ SV256 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV309 )
= ( ti @ arrow_1212486748le_alt @ SV350 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2119]) ).
thf(2163,plain,
! [SV309: $i,SV350: $i,SV158: $i,SV54: $i,SV256: $i,SV214: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV54 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV158 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV214 )
= ( ti @ arrow_1212486748le_alt @ SV256 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV309 )
= ( ti @ arrow_1212486748le_alt @ SV350 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2120]) ).
thf(2164,plain,
! [SV54: $i,SV256: $i,SV214: $i,SV158: $i,SV350: $i,SV309: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV54 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV158 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV214 )
= ( ti @ arrow_1212486748le_alt @ SV256 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV309 )
= ( ti @ arrow_1212486748le_alt @ SV350 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2121]) ).
thf(2165,plain,
! [SV59: $i,SV160: $i,SV260: $i,SV216: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV59 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV160 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV216 )
= ( ti @ arrow_1212486748le_alt @ SV260 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2122]) ).
thf(2166,plain,
! [SV160: $i,SV59: $i,SV216: $i,SV260: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV59 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV160 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV216 )
= ( ti @ arrow_1212486748le_alt @ SV260 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2123]) ).
thf(2167,plain,
! [SV59: $i,SV160: $i,SV260: $i,SV216: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV59 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV160 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV216 )
= ( ti @ arrow_1212486748le_alt @ SV260 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2124]) ).
thf(2168,plain,
! [SV160: $i,SV59: $i,SV216: $i,SV260: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV59 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV160 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV216 )
= ( ti @ arrow_1212486748le_alt @ SV260 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2125]) ).
thf(2169,plain,
! [SV59: $i,SV160: $i,SV260: $i,SV216: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV59 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV160 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV216 )
= ( ti @ arrow_1212486748le_alt @ SV260 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2126]) ).
thf(2170,plain,
! [SV160: $i,SV59: $i,SV216: $i,SV260: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV59 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV160 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV216 )
= ( ti @ arrow_1212486748le_alt @ SV260 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2127]) ).
thf(2171,plain,
! [SV75: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $true )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2130]) ).
thf(2172,plain,
! [SV75: $i] :
( ( ( ~ ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $true )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2131]) ).
thf(2173,plain,
! [SV75: $i] :
( ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2133]) ).
thf(2174,plain,
! [SV75: $i] :
( ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) )
= $false )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2134]) ).
thf(2175,plain,
! [SV75: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) )
= $false )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2135]) ).
thf(2176,plain,
! [SV75: $i] :
( ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $true )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2137]) ).
thf(2177,plain,
! [SV75: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $true )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2138]) ).
thf(2178,plain,
! [SV75: $i] :
( ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) )
= $false )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2141]) ).
thf(2179,plain,
! [SV75: $i] :
( ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2142]) ).
thf(2180,plain,
! [SV75: $i] :
( ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
!= n )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2143]) ).
thf(2181,plain,
! [SV75: $i] :
( ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) )
= $false )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2146]) ).
thf(2182,plain,
! [SV228: $i,SV277: $i,SV84: $i,SV175: $i,SV358: $i,SV326: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV84 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV175 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV358 )
= ( ti @ arrow_1212486748le_alt @ SV228 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV228 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV358 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2147]) ).
thf(2183,plain,
! [SV370: $i,SV366: $i,SV89: $i,SV380: $i,SV378: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV366 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV370 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV370 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV366 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2148]) ).
thf(2184,plain,
! [SV370: $i,SV366: $i,SV89: $i,SV380: $i,SV378: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV366 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV366 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV370 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV366 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2149]) ).
thf(2185,plain,
! [SV366: $i,SV370: $i,SV89: $i,SV380: $i,SV378: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV366 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV366 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV370 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV366 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2149]) ).
thf(2186,plain,
! [SV370: $i,SV366: $i,SV89: $i,SV380: $i,SV378: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV370 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV370 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV370 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV366 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2150]) ).
thf(2187,plain,
! [SV366: $i,SV370: $i,SV89: $i,SV380: $i,SV378: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV370 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV370 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV370 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV366 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2150]) ).
thf(2188,plain,
! [SV370: $i,SV366: $i,SV89: $i,SV380: $i,SV378: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV370 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV366 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV370 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV366 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2151]) ).
thf(2189,plain,
! [SV366: $i,SV370: $i,SV89: $i,SV380: $i,SV378: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV370 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV366 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV370 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV366 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2152]) ).
thf(2190,plain,
! [SV235: $i,SV288: $i,SV104: $i,SV184: $i,SV362: $i,SV334: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV184 @ ( sK30_SY1050 @ SV104 @ SV288 @ SV235 @ SV184 @ SV362 @ SV334 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV104 @ ( sK30_SY1050 @ SV104 @ SV288 @ SV235 @ SV184 @ SV362 @ SV334 ) ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV104 @ ( sK30_SY1050 @ SV104 @ SV288 @ SV235 @ SV184 @ SV362 @ SV334 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV184 @ ( sK30_SY1050 @ SV104 @ SV288 @ SV235 @ SV184 @ SV362 @ SV334 ) ) ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV184 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV104 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV104 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV184 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV362 )
= ( ti @ arrow_1212486748le_alt @ SV235 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
= ( ti @ arrow_1212486748le_alt @ SV288 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV235 )
= ( ti @ arrow_1212486748le_alt @ SV288 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
= ( ti @ arrow_1212486748le_alt @ SV362 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2153]) ).
thf(2191,plain,
! [SV236: $i,SV106: $i,SV185: $i,SV336: $i,SV290: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $true )
| ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV106 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV185 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV336 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV336 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2154]) ).
thf(2192,plain,
! [SV290: $i,SV185: $i,SV106: $i,SV236: $i,SV336: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV106 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV185 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV336 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV336 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2155]) ).
thf(2193,plain,
! [SV306: $i,SV155: $i,SV211: $i,SV253: $i,SV51: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV253 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV253 ) ) @ SV211 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2156]) ).
thf(2194,plain,
! [SV253: $i,SV211: $i,SV51: $i,SV306: $i,SV155: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2157]) ).
thf(2195,plain,
! [SV253: $i,SV211: $i,SV155: $i,SV306: $i,SV51: $i] :
( ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV155 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2158]) ).
thf(2196,plain,
! [SV211: $i,SV253: $i,SV51: $i,SV306: $i,SV155: $i] :
( ( ( ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV253 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV253 ) ) @ SV211 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) ) ) ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV155 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2158]) ).
thf(2197,plain,
! [SV211: $i,SV253: $i,SV155: $i,SV306: $i,SV51: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV155 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV253 ) @ SV155 ) ) @ SV211 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2159]) ).
thf(2198,plain,
! [SV211: $i,SV253: $i,SV51: $i,SV306: $i,SV155: $i] :
( ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV253 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV253 ) ) @ SV211 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) ) ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV155 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV253 ) @ SV155 ) ) @ SV211 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2160]) ).
thf(2199,plain,
! [SV309: $i,SV350: $i,SV158: $i,SV54: $i,SV256: $i,SV214: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV54 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV158 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV214 )
= ( ti @ arrow_1212486748le_alt @ SV256 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV309 )
= ( ti @ arrow_1212486748le_alt @ SV350 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2161]) ).
thf(2200,plain,
! [SV54: $i,SV256: $i,SV214: $i,SV158: $i,SV350: $i,SV309: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV54 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV158 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV214 )
= ( ti @ arrow_1212486748le_alt @ SV256 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV309 )
= ( ti @ arrow_1212486748le_alt @ SV350 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2162]) ).
thf(2201,plain,
! [SV54: $i,SV256: $i,SV214: $i,SV158: $i,SV350: $i,SV309: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV54 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV158 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV214 )
= ( ti @ arrow_1212486748le_alt @ SV256 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV309 )
= ( ti @ arrow_1212486748le_alt @ SV350 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2163]) ).
thf(2202,plain,
! [SV54: $i,SV256: $i,SV214: $i,SV158: $i,SV350: $i,SV309: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV54 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV158 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV214 )
= ( ti @ arrow_1212486748le_alt @ SV256 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV309 )
= ( ti @ arrow_1212486748le_alt @ SV350 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2164]) ).
thf(2203,plain,
! [SV158: $i,SV350: $i,SV309: $i,SV54: $i,SV256: $i,SV214: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV54 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV158 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV214 )
= ( ti @ arrow_1212486748le_alt @ SV256 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV309 )
= ( ti @ arrow_1212486748le_alt @ SV350 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2164]) ).
thf(2204,plain,
! [SV59: $i,SV160: $i,SV260: $i,SV216: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV59 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV160 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV216 )
= ( ti @ arrow_1212486748le_alt @ SV260 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2165]) ).
thf(2205,plain,
! [SV160: $i,SV59: $i,SV216: $i,SV260: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV59 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV160 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV216 ) @ SV260 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV160 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV260 ) @ SV216 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV59 @ ( sK25_SY968 @ SV59 @ SV160 @ SV260 @ SV216 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV59 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV160 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV216 )
= ( ti @ arrow_1212486748le_alt @ SV260 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2166]) ).
thf(2206,plain,
! [SV75: $i] :
( ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lab ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $true )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2171]) ).
thf(2207,plain,
! [SV75: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $true )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2172]) ).
thf(2208,plain,
! [SV75: $i] :
( ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ c ) @ e ) ) )
= $false )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2175]) ).
thf(2209,plain,
! [SV75: $i] :
( ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_992993526_mktop @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $false )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $true )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2177]) ).
thf(2210,plain,
! [SV75: $i] :
( ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ e ) @ d ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ arrow_844286440_mkbot @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ p @ SV75 ) ) @ e ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2180]) ).
thf(2211,plain,
! [SV228: $i,SV277: $i,SV84: $i,SV175: $i,SV358: $i,SV326: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV84 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV175 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV358 )
= ( ti @ arrow_1212486748le_alt @ SV228 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV228 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV358 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2182]) ).
thf(2212,plain,
! [SV370: $i,SV366: $i,SV89: $i,SV380: $i,SV378: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV366 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV370 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV370 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV366 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2183]) ).
thf(2213,plain,
! [SV366: $i,SV370: $i,SV89: $i,SV380: $i,SV378: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV366 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV370 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV370 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV366 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2183]) ).
thf(2214,plain,
! [SV370: $i,SV366: $i,SV89: $i,SV380: $i,SV378: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV366 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV366 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV370 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV366 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2184]) ).
thf(2215,plain,
! [SV366: $i,SV370: $i,SV89: $i,SV380: $i,SV378: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV366 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV366 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV370 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV366 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2185]) ).
thf(2216,plain,
! [SV370: $i,SV366: $i,SV89: $i,SV380: $i,SV378: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV370 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV370 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV370 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV366 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2186]) ).
thf(2217,plain,
! [SV366: $i,SV370: $i,SV89: $i,SV380: $i,SV378: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV370 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV370 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV370 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV366 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2187]) ).
thf(2218,plain,
! [SV370: $i,SV366: $i,SV89: $i,SV380: $i,SV378: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV370 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV366 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV370 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV366 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2188]) ).
thf(2219,plain,
! [SV366: $i,SV370: $i,SV89: $i,SV380: $i,SV378: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV370 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV366 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV370 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV366 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2189]) ).
thf(2220,plain,
! [SV235: $i,SV288: $i,SV104: $i,SV184: $i,SV362: $i,SV334: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV184 @ ( sK30_SY1050 @ SV104 @ SV288 @ SV235 @ SV184 @ SV362 @ SV334 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV104 @ ( sK30_SY1050 @ SV104 @ SV288 @ SV235 @ SV184 @ SV362 @ SV334 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV104 @ ( sK30_SY1050 @ SV104 @ SV288 @ SV235 @ SV184 @ SV362 @ SV334 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV184 @ ( sK30_SY1050 @ SV104 @ SV288 @ SV235 @ SV184 @ SV362 @ SV334 ) ) ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV184 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV104 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV104 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV184 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV362 )
= ( ti @ arrow_1212486748le_alt @ SV235 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
= ( ti @ arrow_1212486748le_alt @ SV288 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV235 )
= ( ti @ arrow_1212486748le_alt @ SV288 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
= ( ti @ arrow_1212486748le_alt @ SV362 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2190]) ).
thf(2221,plain,
! [SV290: $i,SV185: $i,SV106: $i,SV236: $i,SV336: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV106 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV185 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV336 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV336 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2191]) ).
thf(2222,plain,
! [SV290: $i,SV185: $i,SV106: $i,SV236: $i,SV336: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV106 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV185 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV336 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV336 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2192]) ).
thf(2223,plain,
! [SV236: $i,SV106: $i,SV185: $i,SV336: $i,SV290: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV106 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV185 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV336 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV336 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2192]) ).
thf(2224,plain,
! [SV253: $i,SV211: $i,SV155: $i,SV306: $i,SV51: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV155 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2195]) ).
thf(2225,plain,
! [SV211: $i,SV253: $i,SV51: $i,SV306: $i,SV155: $i] :
( ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV253 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV253 ) ) @ SV211 ) ) )
| ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) ) ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV155 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2196]) ).
thf(2226,plain,
! [SV211: $i,SV253: $i,SV155: $i,SV306: $i,SV51: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV155 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV253 ) @ SV155 ) ) @ SV211 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2197]) ).
thf(2227,plain,
! [SV211: $i,SV253: $i,SV51: $i,SV306: $i,SV155: $i] :
( ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV253 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV253 ) ) @ SV211 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) ) ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV155 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV253 ) @ SV155 ) ) @ SV211 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2198]) ).
thf(2228,plain,
! [SV54: $i,SV256: $i,SV214: $i,SV158: $i,SV350: $i,SV309: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV54 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV158 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV214 )
= ( ti @ arrow_1212486748le_alt @ SV256 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV309 )
= ( ti @ arrow_1212486748le_alt @ SV350 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2199]) ).
thf(2229,plain,
! [SV54: $i,SV256: $i,SV214: $i,SV158: $i,SV350: $i,SV309: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV54 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV158 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV214 )
= ( ti @ arrow_1212486748le_alt @ SV256 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV309 )
= ( ti @ arrow_1212486748le_alt @ SV350 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2200]) ).
thf(2230,plain,
! [SV158: $i,SV350: $i,SV309: $i,SV54: $i,SV256: $i,SV214: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV54 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV158 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV214 )
= ( ti @ arrow_1212486748le_alt @ SV256 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV309 )
= ( ti @ arrow_1212486748le_alt @ SV350 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2200]) ).
thf(2231,plain,
! [SV54: $i,SV256: $i,SV214: $i,SV158: $i,SV350: $i,SV309: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV54 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV158 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV214 )
= ( ti @ arrow_1212486748le_alt @ SV256 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV309 )
= ( ti @ arrow_1212486748le_alt @ SV350 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2201]) ).
thf(2232,plain,
! [SV158: $i,SV350: $i,SV309: $i,SV54: $i,SV256: $i,SV214: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV54 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV158 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV214 )
= ( ti @ arrow_1212486748le_alt @ SV256 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV309 )
= ( ti @ arrow_1212486748le_alt @ SV350 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2201]) ).
thf(2233,plain,
! [SV54: $i,SV256: $i,SV214: $i,SV158: $i,SV350: $i,SV309: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV54 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV158 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV214 )
= ( ti @ arrow_1212486748le_alt @ SV256 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV309 )
= ( ti @ arrow_1212486748le_alt @ SV350 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2202]) ).
thf(2234,plain,
! [SV158: $i,SV350: $i,SV309: $i,SV54: $i,SV256: $i,SV214: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV54 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV158 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV214 )
= ( ti @ arrow_1212486748le_alt @ SV256 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV309 )
= ( ti @ arrow_1212486748le_alt @ SV350 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2203]) ).
thf(2235,plain,
! [SV75: $i] :
( ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ b ) @ a ) ) @ lba ) )
= $true )
| ( ( hBOOL @ ( hAPP @ nat @ bool @ ( hAPP @ nat @ ( fun @ nat @ bool ) @ ( ord_less @ nat ) @ ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 ) ) @ n ) )
= $true )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $true )
| ( ( ( hAPP @ arrow_1384031255e_indi @ nat @ h @ SV75 )
= n )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2207]) ).
thf(2236,plain,
! [SV228: $i,SV277: $i,SV84: $i,SV175: $i,SV358: $i,SV326: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV84 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV175 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV358 )
= ( ti @ arrow_1212486748le_alt @ SV228 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV228 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV358 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2211]) ).
thf(2237,plain,
! [SV370: $i,SV366: $i,SV89: $i,SV380: $i,SV378: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV366 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV370 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV370 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV366 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2212]) ).
thf(2238,plain,
! [SV366: $i,SV370: $i,SV89: $i,SV380: $i,SV378: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV366 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV370 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV370 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV366 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2213]) ).
thf(2239,plain,
! [SV370: $i,SV366: $i,SV89: $i,SV380: $i,SV378: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV366 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV366 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV370 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV366 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2214]) ).
thf(2240,plain,
! [SV366: $i,SV370: $i,SV89: $i,SV380: $i,SV378: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV366 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV366 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV370 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV366 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2215]) ).
thf(2241,plain,
! [SV370: $i,SV366: $i,SV89: $i,SV380: $i,SV378: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV370 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV370 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV370 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV366 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2216]) ).
thf(2242,plain,
! [SV366: $i,SV370: $i,SV89: $i,SV380: $i,SV378: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV370 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV370 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV370 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV366 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2217]) ).
thf(2243,plain,
! [SV370: $i,SV366: $i,SV89: $i,SV380: $i,SV378: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV370 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV366 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV370 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV366 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2218]) ).
thf(2244,plain,
! [SV366: $i,SV370: $i,SV89: $i,SV380: $i,SV378: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV370 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV366 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV370 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV366 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2219]) ).
thf(2245,plain,
! [SV235: $i,SV288: $i,SV104: $i,SV184: $i,SV362: $i,SV334: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV184 @ ( sK30_SY1050 @ SV104 @ SV288 @ SV235 @ SV184 @ SV362 @ SV334 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV104 @ ( sK30_SY1050 @ SV104 @ SV288 @ SV235 @ SV184 @ SV362 @ SV334 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV104 @ ( sK30_SY1050 @ SV104 @ SV288 @ SV235 @ SV184 @ SV362 @ SV334 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV184 @ ( sK30_SY1050 @ SV104 @ SV288 @ SV235 @ SV184 @ SV362 @ SV334 ) ) ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV184 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV104 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV104 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV184 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV362 )
= ( ti @ arrow_1212486748le_alt @ SV235 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
= ( ti @ arrow_1212486748le_alt @ SV288 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV235 )
= ( ti @ arrow_1212486748le_alt @ SV288 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
= ( ti @ arrow_1212486748le_alt @ SV362 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2220]) ).
thf(2246,plain,
! [SV290: $i,SV185: $i,SV106: $i,SV236: $i,SV336: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV106 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV185 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV336 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV336 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2221]) ).
thf(2247,plain,
! [SV236: $i,SV106: $i,SV185: $i,SV336: $i,SV290: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV106 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV185 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV336 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV336 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2221]) ).
thf(2248,plain,
! [SV290: $i,SV185: $i,SV106: $i,SV236: $i,SV336: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV106 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV185 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV336 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV336 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2222]) ).
thf(2249,plain,
! [SV106: $i,SV236: $i,SV185: $i,SV336: $i,SV290: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV106 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV185 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV336 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV336 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2223]) ).
thf(2250,plain,
! [SV253: $i,SV211: $i,SV155: $i,SV306: $i,SV51: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV155 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2224]) ).
thf(2251,plain,
! [SV211: $i,SV253: $i,SV51: $i,SV306: $i,SV155: $i] :
( ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV253 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV253 ) ) @ SV211 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) ) ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV155 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2225]) ).
thf(2252,plain,
! [SV211: $i,SV253: $i,SV51: $i,SV306: $i,SV155: $i] :
( ( ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV253 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV253 ) ) @ SV211 ) ) )
= $false )
| ( ( ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) ) ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV155 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV253 ) @ SV155 ) ) @ SV211 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2227]) ).
thf(2253,plain,
! [SV54: $i,SV256: $i,SV214: $i,SV158: $i,SV350: $i,SV309: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV54 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV158 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV214 )
= ( ti @ arrow_1212486748le_alt @ SV256 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV309 )
= ( ti @ arrow_1212486748le_alt @ SV350 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2228]) ).
thf(2254,plain,
! [SV158: $i,SV350: $i,SV309: $i,SV54: $i,SV256: $i,SV214: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV54 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV158 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV214 )
= ( ti @ arrow_1212486748le_alt @ SV256 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV309 )
= ( ti @ arrow_1212486748le_alt @ SV350 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2228]) ).
thf(2255,plain,
! [SV54: $i,SV256: $i,SV214: $i,SV158: $i,SV350: $i,SV309: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV54 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV158 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV214 )
= ( ti @ arrow_1212486748le_alt @ SV256 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV309 )
= ( ti @ arrow_1212486748le_alt @ SV350 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2229]) ).
thf(2256,plain,
! [SV158: $i,SV350: $i,SV309: $i,SV54: $i,SV256: $i,SV214: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV54 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV158 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV214 )
= ( ti @ arrow_1212486748le_alt @ SV256 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV309 )
= ( ti @ arrow_1212486748le_alt @ SV350 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2230]) ).
thf(2257,plain,
! [SV54: $i,SV256: $i,SV214: $i,SV158: $i,SV350: $i,SV309: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV54 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV158 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV214 )
= ( ti @ arrow_1212486748le_alt @ SV256 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV309 )
= ( ti @ arrow_1212486748le_alt @ SV350 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2231]) ).
thf(2258,plain,
! [SV158: $i,SV350: $i,SV309: $i,SV54: $i,SV256: $i,SV214: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV54 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV158 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV214 )
= ( ti @ arrow_1212486748le_alt @ SV256 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV309 )
= ( ti @ arrow_1212486748le_alt @ SV350 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2232]) ).
thf(2259,plain,
! [SV54: $i,SV256: $i,SV214: $i,SV158: $i,SV350: $i,SV309: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV54 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV158 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV214 )
= ( ti @ arrow_1212486748le_alt @ SV256 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV309 )
= ( ti @ arrow_1212486748le_alt @ SV350 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2233]) ).
thf(2260,plain,
! [SV158: $i,SV350: $i,SV309: $i,SV54: $i,SV256: $i,SV214: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV54 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV158 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV214 )
= ( ti @ arrow_1212486748le_alt @ SV256 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV309 )
= ( ti @ arrow_1212486748le_alt @ SV350 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2234]) ).
thf(2261,plain,
! [SV228: $i,SV277: $i,SV84: $i,SV175: $i,SV358: $i,SV326: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV84 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV175 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV358 )
= ( ti @ arrow_1212486748le_alt @ SV228 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV228 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV358 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2236]) ).
thf(2262,plain,
! [SV326: $i,SV358: $i,SV175: $i,SV84: $i,SV277: $i,SV228: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $false )
| ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV84 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV175 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV358 )
= ( ti @ arrow_1212486748le_alt @ SV228 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV228 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV358 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2236]) ).
thf(2263,plain,
! [SV370: $i,SV366: $i,SV89: $i,SV380: $i,SV378: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV366 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV370 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV370 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV366 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2237]) ).
thf(2264,plain,
! [SV366: $i,SV370: $i,SV89: $i,SV380: $i,SV378: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV366 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV370 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV370 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV366 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2238]) ).
thf(2265,plain,
! [SV370: $i,SV366: $i,SV89: $i,SV380: $i,SV378: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV366 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV366 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV370 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV366 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2239]) ).
thf(2266,plain,
! [SV366: $i,SV370: $i,SV89: $i,SV380: $i,SV378: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV366 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV366 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV370 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV366 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2240]) ).
thf(2267,plain,
! [SV370: $i,SV366: $i,SV89: $i,SV380: $i,SV378: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV370 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV370 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV370 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV366 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2241]) ).
thf(2268,plain,
! [SV366: $i,SV370: $i,SV89: $i,SV380: $i,SV378: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV370 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV370 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV370 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV366 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2242]) ).
thf(2269,plain,
! [SV235: $i,SV288: $i,SV104: $i,SV184: $i,SV362: $i,SV334: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV184 @ ( sK30_SY1050 @ SV104 @ SV288 @ SV235 @ SV184 @ SV362 @ SV334 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV104 @ ( sK30_SY1050 @ SV104 @ SV288 @ SV235 @ SV184 @ SV362 @ SV334 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV184 @ ( sK30_SY1050 @ SV104 @ SV288 @ SV235 @ SV184 @ SV362 @ SV334 ) ) ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV184 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV104 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV104 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV184 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV362 )
= ( ti @ arrow_1212486748le_alt @ SV235 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
= ( ti @ arrow_1212486748le_alt @ SV288 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV235 )
= ( ti @ arrow_1212486748le_alt @ SV288 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
= ( ti @ arrow_1212486748le_alt @ SV362 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2245]) ).
thf(2270,plain,
! [SV334: $i,SV362: $i,SV184: $i,SV104: $i,SV288: $i,SV235: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV104 @ ( sK30_SY1050 @ SV104 @ SV288 @ SV235 @ SV184 @ SV362 @ SV334 ) ) ) )
= $false )
| ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV104 @ ( sK30_SY1050 @ SV104 @ SV288 @ SV235 @ SV184 @ SV362 @ SV334 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV184 @ ( sK30_SY1050 @ SV104 @ SV288 @ SV235 @ SV184 @ SV362 @ SV334 ) ) ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV184 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV104 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV104 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV184 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV362 )
= ( ti @ arrow_1212486748le_alt @ SV235 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
= ( ti @ arrow_1212486748le_alt @ SV288 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV235 )
= ( ti @ arrow_1212486748le_alt @ SV288 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
= ( ti @ arrow_1212486748le_alt @ SV362 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2245]) ).
thf(2271,plain,
! [SV290: $i,SV185: $i,SV106: $i,SV236: $i,SV336: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV106 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV185 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV336 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV336 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2246]) ).
thf(2272,plain,
! [SV106: $i,SV236: $i,SV185: $i,SV336: $i,SV290: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV106 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV185 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV336 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV336 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2247]) ).
thf(2273,plain,
! [SV106: $i,SV236: $i,SV185: $i,SV336: $i,SV290: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV106 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV185 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV336 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV336 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2248]) ).
thf(2274,plain,
! [SV106: $i,SV236: $i,SV185: $i,SV336: $i,SV290: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV106 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV185 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV336 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV336 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2249]) ).
thf(2275,plain,
! [SV185: $i,SV290: $i,SV106: $i,SV236: $i,SV336: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV106 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV185 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV336 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV336 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2249]) ).
thf(2276,plain,
! [SV211: $i,SV253: $i,SV51: $i,SV306: $i,SV155: $i] :
( ( ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
| ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV253 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV253 ) ) @ SV211 ) ) )
= $false )
| ( ( ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) ) ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV155 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2251]) ).
thf(2277,plain,
! [SV253: $i,SV211: $i,SV51: $i,SV306: $i,SV155: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $false )
| ( ( ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) ) ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV155 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV253 ) @ SV155 ) ) @ SV211 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2252]) ).
thf(2278,plain,
! [SV306: $i,SV155: $i,SV211: $i,SV253: $i,SV51: $i] :
( ( ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV253 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV253 ) ) @ SV211 ) ) )
= $false )
| ( ( ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) ) ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV155 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV253 ) @ SV155 ) ) @ SV211 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2252]) ).
thf(2279,plain,
! [SV54: $i,SV256: $i,SV214: $i,SV158: $i,SV350: $i,SV309: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV54 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV158 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV214 )
= ( ti @ arrow_1212486748le_alt @ SV256 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV309 )
= ( ti @ arrow_1212486748le_alt @ SV350 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2253]) ).
thf(2280,plain,
! [SV158: $i,SV350: $i,SV309: $i,SV54: $i,SV256: $i,SV214: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV54 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV158 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV214 )
= ( ti @ arrow_1212486748le_alt @ SV256 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV309 )
= ( ti @ arrow_1212486748le_alt @ SV350 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2254]) ).
thf(2281,plain,
! [SV54: $i,SV256: $i,SV214: $i,SV158: $i,SV350: $i,SV309: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV54 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV158 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV214 )
= ( ti @ arrow_1212486748le_alt @ SV256 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV309 )
= ( ti @ arrow_1212486748le_alt @ SV350 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2255]) ).
thf(2282,plain,
! [SV158: $i,SV350: $i,SV309: $i,SV54: $i,SV256: $i,SV214: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV54 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV158 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV214 )
= ( ti @ arrow_1212486748le_alt @ SV256 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV309 )
= ( ti @ arrow_1212486748le_alt @ SV350 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2256]) ).
thf(2283,plain,
! [SV54: $i,SV256: $i,SV214: $i,SV158: $i,SV350: $i,SV309: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV54 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV158 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV214 )
= ( ti @ arrow_1212486748le_alt @ SV256 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV309 )
= ( ti @ arrow_1212486748le_alt @ SV350 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2257]) ).
thf(2284,plain,
! [SV158: $i,SV350: $i,SV309: $i,SV54: $i,SV256: $i,SV214: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV54 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV158 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV214 )
= ( ti @ arrow_1212486748le_alt @ SV256 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV309 )
= ( ti @ arrow_1212486748le_alt @ SV350 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2258]) ).
thf(2285,plain,
! [SV54: $i,SV256: $i,SV214: $i,SV158: $i,SV350: $i,SV309: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV54 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV158 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV214 )
= ( ti @ arrow_1212486748le_alt @ SV256 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV309 )
= ( ti @ arrow_1212486748le_alt @ SV350 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2259]) ).
thf(2286,plain,
! [SV158: $i,SV350: $i,SV309: $i,SV54: $i,SV256: $i,SV214: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV54 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV158 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV214 )
= ( ti @ arrow_1212486748le_alt @ SV256 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV309 )
= ( ti @ arrow_1212486748le_alt @ SV350 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2260]) ).
thf(2287,plain,
! [SV228: $i,SV277: $i,SV84: $i,SV175: $i,SV358: $i,SV326: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $true )
| ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV84 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV175 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV358 )
= ( ti @ arrow_1212486748le_alt @ SV228 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV228 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV358 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2261]) ).
thf(2288,plain,
! [SV326: $i,SV358: $i,SV175: $i,SV84: $i,SV277: $i,SV228: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV84 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV175 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV358 )
= ( ti @ arrow_1212486748le_alt @ SV228 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV228 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV358 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2262]) ).
thf(2289,plain,
! [SV370: $i,SV366: $i,SV89: $i,SV380: $i,SV378: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV366 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV370 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV370 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV366 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2263]) ).
thf(2290,plain,
! [SV366: $i,SV370: $i,SV89: $i,SV380: $i,SV378: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV370 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV89 @ SV366 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV366 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV378 ) @ SV380 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV370 @ ( sK26_SY1091 @ SV89 @ SV370 @ SV366 @ SV380 @ SV378 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV370 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV366 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool @ arrow_612047104le_IIA @ SV89 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2264]) ).
thf(2291,plain,
! [SV235: $i,SV288: $i,SV104: $i,SV184: $i,SV362: $i,SV334: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV184 @ ( sK30_SY1050 @ SV104 @ SV288 @ SV235 @ SV184 @ SV362 @ SV334 ) ) ) )
= $true )
| ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV104 @ ( sK30_SY1050 @ SV104 @ SV288 @ SV235 @ SV184 @ SV362 @ SV334 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV184 @ ( sK30_SY1050 @ SV104 @ SV288 @ SV235 @ SV184 @ SV362 @ SV334 ) ) ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV184 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV104 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV104 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV184 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV362 )
= ( ti @ arrow_1212486748le_alt @ SV235 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
= ( ti @ arrow_1212486748le_alt @ SV288 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV235 )
= ( ti @ arrow_1212486748le_alt @ SV288 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
= ( ti @ arrow_1212486748le_alt @ SV362 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2269]) ).
thf(2292,plain,
! [SV334: $i,SV362: $i,SV184: $i,SV104: $i,SV288: $i,SV235: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV104 @ ( sK30_SY1050 @ SV104 @ SV288 @ SV235 @ SV184 @ SV362 @ SV334 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV184 @ ( sK30_SY1050 @ SV104 @ SV288 @ SV235 @ SV184 @ SV362 @ SV334 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV104 @ ( sK30_SY1050 @ SV104 @ SV288 @ SV235 @ SV184 @ SV362 @ SV334 ) ) ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV184 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV104 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV104 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV184 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV362 )
= ( ti @ arrow_1212486748le_alt @ SV235 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
= ( ti @ arrow_1212486748le_alt @ SV288 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV235 )
= ( ti @ arrow_1212486748le_alt @ SV288 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
= ( ti @ arrow_1212486748le_alt @ SV362 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2270]) ).
thf(2293,plain,
! [SV106: $i,SV236: $i,SV185: $i,SV336: $i,SV290: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV106 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV185 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV336 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV336 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2271]) ).
thf(2294,plain,
! [SV106: $i,SV236: $i,SV185: $i,SV336: $i,SV290: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV106 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV185 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV336 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV336 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2272]) ).
thf(2295,plain,
! [SV185: $i,SV290: $i,SV106: $i,SV236: $i,SV336: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV106 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV185 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV336 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV336 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2272]) ).
thf(2296,plain,
! [SV106: $i,SV236: $i,SV185: $i,SV336: $i,SV290: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV106 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV185 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV336 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV336 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2273]) ).
thf(2297,plain,
! [SV185: $i,SV290: $i,SV106: $i,SV236: $i,SV336: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV106 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV185 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV336 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV336 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2273]) ).
thf(2298,plain,
! [SV106: $i,SV236: $i,SV185: $i,SV336: $i,SV290: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV106 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV185 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV336 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV336 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2274]) ).
thf(2299,plain,
! [SV185: $i,SV290: $i,SV106: $i,SV236: $i,SV336: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV106 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV185 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV336 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV336 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2275]) ).
thf(2300,plain,
! [SV253: $i,SV211: $i,SV51: $i,SV306: $i,SV155: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $false )
| ( ( ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) ) ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV155 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2276]) ).
thf(2301,plain,
! [SV306: $i,SV155: $i,SV211: $i,SV253: $i,SV51: $i] :
( ( ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV253 ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV253 ) ) @ SV211 ) ) )
= $false )
| ( ( ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) ) ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV155 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2276]) ).
thf(2302,plain,
! [SV253: $i,SV211: $i,SV51: $i,SV306: $i,SV155: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true )
| ( ( ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) ) ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV155 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV253 ) @ SV155 ) ) @ SV211 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2277]) ).
thf(2303,plain,
! [SV211: $i,SV306: $i,SV155: $i,SV253: $i,SV51: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV253 ) )
= $false )
| ( ( ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) ) ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV155 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV253 ) @ SV155 ) ) @ SV211 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2278]) ).
thf(2304,plain,
! [SV306: $i,SV155: $i,SV211: $i,SV253: $i,SV51: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV253 ) ) @ SV211 ) )
= $false )
| ( ( ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) ) ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV155 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV253 ) @ SV155 ) ) @ SV211 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2278]) ).
thf(2305,plain,
! [SV54: $i,SV256: $i,SV214: $i,SV158: $i,SV350: $i,SV309: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV54 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV158 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV214 )
= ( ti @ arrow_1212486748le_alt @ SV256 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV309 )
= ( ti @ arrow_1212486748le_alt @ SV350 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2279]) ).
thf(2306,plain,
! [SV158: $i,SV350: $i,SV309: $i,SV54: $i,SV256: $i,SV214: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV54 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV158 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV214 )
= ( ti @ arrow_1212486748le_alt @ SV256 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV309 )
= ( ti @ arrow_1212486748le_alt @ SV350 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2280]) ).
thf(2307,plain,
! [SV54: $i,SV256: $i,SV214: $i,SV158: $i,SV350: $i,SV309: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV54 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV158 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV214 )
= ( ti @ arrow_1212486748le_alt @ SV256 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV309 )
= ( ti @ arrow_1212486748le_alt @ SV350 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2281]) ).
thf(2308,plain,
! [SV158: $i,SV350: $i,SV309: $i,SV54: $i,SV256: $i,SV214: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV54 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV158 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV214 )
= ( ti @ arrow_1212486748le_alt @ SV256 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV309 )
= ( ti @ arrow_1212486748le_alt @ SV350 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2282]) ).
thf(2309,plain,
! [SV54: $i,SV256: $i,SV214: $i,SV158: $i,SV350: $i,SV309: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV54 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV158 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV214 )
= ( ti @ arrow_1212486748le_alt @ SV256 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV309 )
= ( ti @ arrow_1212486748le_alt @ SV350 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2283]) ).
thf(2310,plain,
! [SV158: $i,SV350: $i,SV309: $i,SV54: $i,SV256: $i,SV214: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV54 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV158 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV214 )
= ( ti @ arrow_1212486748le_alt @ SV256 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV309 )
= ( ti @ arrow_1212486748le_alt @ SV350 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2284]) ).
thf(2311,plain,
! [SV326: $i,SV358: $i,SV175: $i,SV84: $i,SV277: $i,SV228: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV84 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV175 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV358 )
= ( ti @ arrow_1212486748le_alt @ SV228 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV228 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV358 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2287]) ).
thf(2312,plain,
! [SV326: $i,SV358: $i,SV175: $i,SV84: $i,SV277: $i,SV228: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV84 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV175 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV358 )
= ( ti @ arrow_1212486748le_alt @ SV228 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV228 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV358 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2288]) ).
thf(2313,plain,
! [SV228: $i,SV277: $i,SV84: $i,SV175: $i,SV358: $i,SV326: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV84 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV175 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV358 )
= ( ti @ arrow_1212486748le_alt @ SV228 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV228 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV358 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2288]) ).
thf(2314,plain,
! [SV334: $i,SV362: $i,SV184: $i,SV104: $i,SV288: $i,SV235: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV104 @ ( sK30_SY1050 @ SV104 @ SV288 @ SV235 @ SV184 @ SV362 @ SV334 ) ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV184 @ ( sK30_SY1050 @ SV104 @ SV288 @ SV235 @ SV184 @ SV362 @ SV334 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV184 @ ( sK30_SY1050 @ SV104 @ SV288 @ SV235 @ SV184 @ SV362 @ SV334 ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV184 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV104 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV104 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV184 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV362 )
= ( ti @ arrow_1212486748le_alt @ SV235 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
= ( ti @ arrow_1212486748le_alt @ SV288 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV235 )
= ( ti @ arrow_1212486748le_alt @ SV288 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
= ( ti @ arrow_1212486748le_alt @ SV362 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2291]) ).
thf(2315,plain,
! [SV334: $i,SV362: $i,SV184: $i,SV104: $i,SV288: $i,SV235: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV104 @ ( sK30_SY1050 @ SV104 @ SV288 @ SV235 @ SV184 @ SV362 @ SV334 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV104 @ ( sK30_SY1050 @ SV104 @ SV288 @ SV235 @ SV184 @ SV362 @ SV334 ) ) ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV184 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV104 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV104 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV184 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV362 )
= ( ti @ arrow_1212486748le_alt @ SV235 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
= ( ti @ arrow_1212486748le_alt @ SV288 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV235 )
= ( ti @ arrow_1212486748le_alt @ SV288 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
= ( ti @ arrow_1212486748le_alt @ SV362 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2292]) ).
thf(2316,plain,
! [SV235: $i,SV288: $i,SV104: $i,SV184: $i,SV362: $i,SV334: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV184 @ ( sK30_SY1050 @ SV104 @ SV288 @ SV235 @ SV184 @ SV362 @ SV334 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV104 @ ( sK30_SY1050 @ SV104 @ SV288 @ SV235 @ SV184 @ SV362 @ SV334 ) ) ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV184 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV104 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV104 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV184 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV362 )
= ( ti @ arrow_1212486748le_alt @ SV235 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
= ( ti @ arrow_1212486748le_alt @ SV288 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV235 )
= ( ti @ arrow_1212486748le_alt @ SV288 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
= ( ti @ arrow_1212486748le_alt @ SV362 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2292]) ).
thf(2317,plain,
! [SV106: $i,SV236: $i,SV185: $i,SV336: $i,SV290: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV106 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV185 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV336 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV336 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2293]) ).
thf(2318,plain,
! [SV185: $i,SV290: $i,SV106: $i,SV236: $i,SV336: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV106 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV185 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV336 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV336 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2293]) ).
thf(2319,plain,
! [SV106: $i,SV236: $i,SV185: $i,SV336: $i,SV290: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV106 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV185 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV336 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV336 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2294]) ).
thf(2320,plain,
! [SV185: $i,SV290: $i,SV106: $i,SV236: $i,SV336: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV106 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV185 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV336 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV336 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2295]) ).
thf(2321,plain,
! [SV106: $i,SV236: $i,SV185: $i,SV336: $i,SV290: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV106 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV185 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV336 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV336 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2296]) ).
thf(2322,plain,
! [SV185: $i,SV290: $i,SV106: $i,SV236: $i,SV336: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV106 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV185 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV336 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV336 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2297]) ).
thf(2323,plain,
! [SV106: $i,SV236: $i,SV185: $i,SV336: $i,SV290: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV106 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV185 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV336 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV336 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2298]) ).
thf(2324,plain,
! [SV185: $i,SV290: $i,SV106: $i,SV236: $i,SV336: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV106 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV185 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV336 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV336 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2299]) ).
thf(2325,plain,
! [SV253: $i,SV211: $i,SV51: $i,SV306: $i,SV155: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true )
| ( ( ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) ) ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV155 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2300]) ).
thf(2326,plain,
! [SV211: $i,SV306: $i,SV155: $i,SV253: $i,SV51: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV253 ) )
= $false )
| ( ( ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) ) ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV155 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2301]) ).
thf(2327,plain,
! [SV306: $i,SV155: $i,SV211: $i,SV253: $i,SV51: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV253 ) ) @ SV211 ) )
= $false )
| ( ( ~ ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) ) ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV155 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2301]) ).
thf(2328,plain,
! [SV253: $i,SV211: $i,SV51: $i,SV306: $i,SV155: $i] :
( ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV155 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV253 ) @ SV155 ) ) @ SV211 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2302]) ).
thf(2329,plain,
! [SV253: $i,SV211: $i,SV51: $i,SV306: $i,SV155: $i] :
( ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV253 ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV155 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV253 ) @ SV155 ) ) @ SV211 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2303]) ).
thf(2330,plain,
! [SV253: $i,SV211: $i,SV51: $i,SV306: $i,SV155: $i] :
( ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV253 ) ) @ SV211 ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV155 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV253 ) @ SV155 ) ) @ SV211 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2304]) ).
thf(2331,plain,
! [SV54: $i,SV256: $i,SV214: $i,SV158: $i,SV350: $i,SV309: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV54 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV158 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV214 )
= ( ti @ arrow_1212486748le_alt @ SV256 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV309 )
= ( ti @ arrow_1212486748le_alt @ SV350 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2305]) ).
thf(2332,plain,
! [SV158: $i,SV350: $i,SV309: $i,SV54: $i,SV256: $i,SV214: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV54 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV158 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV309 ) @ SV350 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV158 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV214 ) @ SV256 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV54 @ ( sK27_SY1047 @ SV54 @ SV256 @ SV214 @ SV158 @ SV350 @ SV309 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV54 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV158 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV214 )
= ( ti @ arrow_1212486748le_alt @ SV256 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV309 )
= ( ti @ arrow_1212486748le_alt @ SV350 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2306]) ).
thf(2333,plain,
! [SV326: $i,SV358: $i,SV175: $i,SV84: $i,SV277: $i,SV228: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV84 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV175 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV358 )
= ( ti @ arrow_1212486748le_alt @ SV228 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV228 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV358 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2311]) ).
thf(2334,plain,
! [SV228: $i,SV277: $i,SV84: $i,SV175: $i,SV358: $i,SV326: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV84 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV175 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV358 )
= ( ti @ arrow_1212486748le_alt @ SV228 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV228 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV358 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2311]) ).
thf(2335,plain,
! [SV326: $i,SV358: $i,SV175: $i,SV84: $i,SV277: $i,SV228: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV84 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV175 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV358 )
= ( ti @ arrow_1212486748le_alt @ SV228 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV228 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV358 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2312]) ).
thf(2336,plain,
! [SV84: $i,SV277: $i,SV228: $i,SV175: $i,SV358: $i,SV326: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV84 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV175 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV358 )
= ( ti @ arrow_1212486748le_alt @ SV228 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV228 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV358 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2313]) ).
thf(2337,plain,
! [SV334: $i,SV362: $i,SV184: $i,SV104: $i,SV288: $i,SV235: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV104 @ ( sK30_SY1050 @ SV104 @ SV288 @ SV235 @ SV184 @ SV362 @ SV334 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV184 @ ( sK30_SY1050 @ SV104 @ SV288 @ SV235 @ SV184 @ SV362 @ SV334 ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV184 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV104 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV104 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV184 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV362 )
= ( ti @ arrow_1212486748le_alt @ SV235 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
= ( ti @ arrow_1212486748le_alt @ SV288 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV235 )
= ( ti @ arrow_1212486748le_alt @ SV288 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
= ( ti @ arrow_1212486748le_alt @ SV362 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2314]) ).
thf(2338,plain,
! [SV235: $i,SV288: $i,SV104: $i,SV184: $i,SV362: $i,SV334: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV184 @ ( sK30_SY1050 @ SV104 @ SV288 @ SV235 @ SV184 @ SV362 @ SV334 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV184 @ ( sK30_SY1050 @ SV104 @ SV288 @ SV235 @ SV184 @ SV362 @ SV334 ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV184 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV104 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV104 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV184 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV362 )
= ( ti @ arrow_1212486748le_alt @ SV235 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
= ( ti @ arrow_1212486748le_alt @ SV288 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV235 )
= ( ti @ arrow_1212486748le_alt @ SV288 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
= ( ti @ arrow_1212486748le_alt @ SV362 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2314]) ).
thf(2339,plain,
! [SV334: $i,SV362: $i,SV184: $i,SV104: $i,SV288: $i,SV235: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV104 @ ( sK30_SY1050 @ SV104 @ SV288 @ SV235 @ SV184 @ SV362 @ SV334 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV104 @ ( sK30_SY1050 @ SV104 @ SV288 @ SV235 @ SV184 @ SV362 @ SV334 ) ) ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV184 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV104 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV104 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV184 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV362 )
= ( ti @ arrow_1212486748le_alt @ SV235 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
= ( ti @ arrow_1212486748le_alt @ SV288 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV235 )
= ( ti @ arrow_1212486748le_alt @ SV288 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
= ( ti @ arrow_1212486748le_alt @ SV362 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2315]) ).
thf(2340,plain,
! [SV104: $i,SV288: $i,SV235: $i,SV184: $i,SV362: $i,SV334: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV184 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV104 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV104 @ ( sK30_SY1050 @ SV104 @ SV288 @ SV235 @ SV184 @ SV362 @ SV334 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV184 @ ( sK30_SY1050 @ SV104 @ SV288 @ SV235 @ SV184 @ SV362 @ SV334 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV104 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV184 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV362 )
= ( ti @ arrow_1212486748le_alt @ SV235 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
= ( ti @ arrow_1212486748le_alt @ SV288 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV235 )
= ( ti @ arrow_1212486748le_alt @ SV288 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
= ( ti @ arrow_1212486748le_alt @ SV362 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2316]) ).
thf(2341,plain,
! [SV106: $i,SV236: $i,SV185: $i,SV336: $i,SV290: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV106 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV185 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV336 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV336 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2317]) ).
thf(2342,plain,
! [SV185: $i,SV290: $i,SV106: $i,SV236: $i,SV336: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV106 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV185 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV336 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV336 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2318]) ).
thf(2343,plain,
! [SV106: $i,SV236: $i,SV185: $i,SV336: $i,SV290: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV106 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV185 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV336 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV336 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2319]) ).
thf(2344,plain,
! [SV185: $i,SV290: $i,SV106: $i,SV236: $i,SV336: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV106 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV185 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV336 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV336 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2320]) ).
thf(2345,plain,
! [SV106: $i,SV236: $i,SV185: $i,SV336: $i,SV290: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV106 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV185 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV336 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV336 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2321]) ).
thf(2346,plain,
! [SV185: $i,SV290: $i,SV106: $i,SV236: $i,SV336: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV106 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV185 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV336 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV336 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2322]) ).
thf(2347,plain,
! [SV106: $i,SV236: $i,SV185: $i,SV336: $i,SV290: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV106 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV185 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV336 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV336 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2323]) ).
thf(2348,plain,
! [SV185: $i,SV290: $i,SV106: $i,SV236: $i,SV336: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV106 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV185 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV336 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV336 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2324]) ).
thf(2349,plain,
! [SV253: $i,SV211: $i,SV51: $i,SV306: $i,SV155: $i] :
( ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV155 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2325]) ).
thf(2350,plain,
! [SV253: $i,SV211: $i,SV51: $i,SV306: $i,SV155: $i] :
( ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV253 ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV155 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2326]) ).
thf(2351,plain,
! [SV253: $i,SV211: $i,SV51: $i,SV306: $i,SV155: $i] :
( ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV253 ) ) @ SV211 ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV155 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2327]) ).
thf(2352,plain,
! [SV211: $i,SV253: $i,SV51: $i,SV306: $i,SV155: $i] :
( ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV155 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV253 ) @ SV155 ) ) @ SV211 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2328]) ).
thf(2353,plain,
! [SV253: $i,SV306: $i,SV211: $i,SV155: $i,SV51: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV155 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV253 ) @ SV155 ) ) @ SV211 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2328]) ).
thf(2354,plain,
! [SV211: $i,SV253: $i,SV51: $i,SV306: $i,SV155: $i] :
( ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV253 ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV155 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV253 ) @ SV155 ) ) @ SV211 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2329]) ).
thf(2355,plain,
! [SV306: $i,SV253: $i,SV211: $i,SV155: $i,SV51: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV253 ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV155 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV253 ) @ SV155 ) ) @ SV211 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2329]) ).
thf(2356,plain,
! [SV211: $i,SV253: $i,SV51: $i,SV306: $i,SV155: $i] :
( ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV253 ) ) @ SV211 ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV155 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV253 ) @ SV155 ) ) @ SV211 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2330]) ).
thf(2357,plain,
! [SV306: $i,SV253: $i,SV211: $i,SV155: $i,SV51: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV253 ) ) @ SV211 ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV155 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV253 ) @ SV155 ) ) @ SV211 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2330]) ).
thf(2358,plain,
! [SV326: $i,SV358: $i,SV175: $i,SV84: $i,SV277: $i,SV228: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV84 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV175 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV358 )
= ( ti @ arrow_1212486748le_alt @ SV228 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV228 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV358 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2333]) ).
thf(2359,plain,
! [SV84: $i,SV277: $i,SV228: $i,SV175: $i,SV358: $i,SV326: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV84 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV175 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV358 )
= ( ti @ arrow_1212486748le_alt @ SV228 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV228 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV358 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2334]) ).
thf(2360,plain,
! [SV84: $i,SV277: $i,SV228: $i,SV175: $i,SV358: $i,SV326: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV84 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV175 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV358 )
= ( ti @ arrow_1212486748le_alt @ SV228 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV228 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV358 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2335]) ).
thf(2361,plain,
! [SV84: $i,SV277: $i,SV228: $i,SV175: $i,SV358: $i,SV326: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV84 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV175 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV358 )
= ( ti @ arrow_1212486748le_alt @ SV228 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV228 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV358 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2336]) ).
thf(2362,plain,
! [SV175: $i,SV358: $i,SV326: $i,SV84: $i,SV277: $i,SV228: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV84 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV175 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV358 )
= ( ti @ arrow_1212486748le_alt @ SV228 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV228 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV358 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2336]) ).
thf(2363,plain,
! [SV334: $i,SV362: $i,SV184: $i,SV104: $i,SV288: $i,SV235: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV104 @ ( sK30_SY1050 @ SV104 @ SV288 @ SV235 @ SV184 @ SV362 @ SV334 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV184 @ ( sK30_SY1050 @ SV104 @ SV288 @ SV235 @ SV184 @ SV362 @ SV334 ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV184 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV104 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV104 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV184 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV362 )
= ( ti @ arrow_1212486748le_alt @ SV235 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
= ( ti @ arrow_1212486748le_alt @ SV288 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV235 )
= ( ti @ arrow_1212486748le_alt @ SV288 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
= ( ti @ arrow_1212486748le_alt @ SV362 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2337]) ).
thf(2364,plain,
! [SV104: $i,SV288: $i,SV235: $i,SV184: $i,SV362: $i,SV334: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV184 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV104 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV184 @ ( sK30_SY1050 @ SV104 @ SV288 @ SV235 @ SV184 @ SV362 @ SV334 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV184 @ ( sK30_SY1050 @ SV104 @ SV288 @ SV235 @ SV184 @ SV362 @ SV334 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV104 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV184 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV362 )
= ( ti @ arrow_1212486748le_alt @ SV235 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
= ( ti @ arrow_1212486748le_alt @ SV288 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV235 )
= ( ti @ arrow_1212486748le_alt @ SV288 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
= ( ti @ arrow_1212486748le_alt @ SV362 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2338]) ).
thf(2365,plain,
! [SV104: $i,SV288: $i,SV235: $i,SV184: $i,SV362: $i,SV334: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV184 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV104 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV104 @ ( sK30_SY1050 @ SV104 @ SV288 @ SV235 @ SV184 @ SV362 @ SV334 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV104 @ ( sK30_SY1050 @ SV104 @ SV288 @ SV235 @ SV184 @ SV362 @ SV334 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV104 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV184 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV362 )
= ( ti @ arrow_1212486748le_alt @ SV235 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
= ( ti @ arrow_1212486748le_alt @ SV288 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV235 )
= ( ti @ arrow_1212486748le_alt @ SV288 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
= ( ti @ arrow_1212486748le_alt @ SV362 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2339]) ).
thf(2366,plain,
! [SV104: $i,SV288: $i,SV235: $i,SV184: $i,SV362: $i,SV334: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV184 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV104 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV104 @ ( sK30_SY1050 @ SV104 @ SV288 @ SV235 @ SV184 @ SV362 @ SV334 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV184 @ ( sK30_SY1050 @ SV104 @ SV288 @ SV235 @ SV184 @ SV362 @ SV334 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV104 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV184 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV362 )
= ( ti @ arrow_1212486748le_alt @ SV235 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
= ( ti @ arrow_1212486748le_alt @ SV288 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV235 )
= ( ti @ arrow_1212486748le_alt @ SV288 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
= ( ti @ arrow_1212486748le_alt @ SV362 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2340]) ).
thf(2367,plain,
! [SV106: $i,SV236: $i,SV185: $i,SV336: $i,SV290: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV106 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV185 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV336 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV336 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2341]) ).
thf(2368,plain,
! [SV185: $i,SV290: $i,SV106: $i,SV236: $i,SV336: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV106 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV185 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV336 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV336 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2342]) ).
thf(2369,plain,
! [SV106: $i,SV236: $i,SV185: $i,SV336: $i,SV290: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV106 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV185 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV336 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV336 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2343]) ).
thf(2370,plain,
! [SV185: $i,SV290: $i,SV106: $i,SV236: $i,SV336: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV106 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV185 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV336 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV336 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2344]) ).
thf(2371,plain,
! [SV106: $i,SV236: $i,SV185: $i,SV336: $i,SV290: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV106 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV185 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV336 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV336 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2345]) ).
thf(2372,plain,
! [SV185: $i,SV290: $i,SV106: $i,SV236: $i,SV336: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV106 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV185 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV336 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV336 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2346]) ).
thf(2373,plain,
! [SV253: $i,SV211: $i,SV51: $i,SV306: $i,SV155: $i] :
( ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV155 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2349]) ).
thf(2374,plain,
! [SV253: $i,SV306: $i,SV211: $i,SV155: $i,SV51: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV155 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2349]) ).
thf(2375,plain,
! [SV211: $i,SV253: $i,SV51: $i,SV306: $i,SV155: $i] :
( ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV253 ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV155 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2350]) ).
thf(2376,plain,
! [SV306: $i,SV253: $i,SV211: $i,SV155: $i,SV51: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV253 ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV155 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2350]) ).
thf(2377,plain,
! [SV211: $i,SV253: $i,SV51: $i,SV306: $i,SV155: $i] :
( ( ( ~ ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV253 ) ) @ SV211 ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV155 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2351]) ).
thf(2378,plain,
! [SV306: $i,SV253: $i,SV211: $i,SV155: $i,SV51: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ SV211 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV253 ) ) @ SV211 ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV155 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2351]) ).
thf(2379,plain,
! [SV211: $i,SV253: $i,SV51: $i,SV306: $i,SV155: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV155 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV253 ) @ SV155 ) ) @ SV211 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2352]) ).
thf(2380,plain,
! [SV211: $i,SV253: $i,SV51: $i,SV306: $i,SV155: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV253 ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV155 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV253 ) @ SV155 ) ) @ SV211 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2354]) ).
thf(2381,plain,
! [SV211: $i,SV253: $i,SV51: $i,SV306: $i,SV155: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV253 ) ) @ SV211 ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV155 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV253 ) @ SV155 ) ) @ SV211 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2356]) ).
thf(2382,plain,
! [SV84: $i,SV277: $i,SV228: $i,SV175: $i,SV358: $i,SV326: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV84 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV175 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV358 )
= ( ti @ arrow_1212486748le_alt @ SV228 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV228 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV358 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2358]) ).
thf(2383,plain,
! [SV84: $i,SV277: $i,SV228: $i,SV175: $i,SV358: $i,SV326: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV84 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV175 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV358 )
= ( ti @ arrow_1212486748le_alt @ SV228 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV228 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV358 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2359]) ).
thf(2384,plain,
! [SV175: $i,SV358: $i,SV326: $i,SV84: $i,SV277: $i,SV228: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV84 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV175 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV358 )
= ( ti @ arrow_1212486748le_alt @ SV228 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV228 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV358 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2359]) ).
thf(2385,plain,
! [SV84: $i,SV277: $i,SV228: $i,SV175: $i,SV358: $i,SV326: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV84 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV175 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV358 )
= ( ti @ arrow_1212486748le_alt @ SV228 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV228 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV358 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2360]) ).
thf(2386,plain,
! [SV175: $i,SV358: $i,SV326: $i,SV84: $i,SV277: $i,SV228: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV84 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV175 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV358 )
= ( ti @ arrow_1212486748le_alt @ SV228 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV228 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV358 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2360]) ).
thf(2387,plain,
! [SV84: $i,SV277: $i,SV228: $i,SV175: $i,SV358: $i,SV326: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV84 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV175 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV358 )
= ( ti @ arrow_1212486748le_alt @ SV228 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV228 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV358 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2361]) ).
thf(2388,plain,
! [SV175: $i,SV358: $i,SV326: $i,SV84: $i,SV277: $i,SV228: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV84 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV175 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV358 )
= ( ti @ arrow_1212486748le_alt @ SV228 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV228 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV358 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2362]) ).
thf(2389,plain,
! [SV104: $i,SV288: $i,SV235: $i,SV184: $i,SV362: $i,SV334: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV184 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV104 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV184 @ ( sK30_SY1050 @ SV104 @ SV288 @ SV235 @ SV184 @ SV362 @ SV334 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV104 @ ( sK30_SY1050 @ SV104 @ SV288 @ SV235 @ SV184 @ SV362 @ SV334 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV104 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV184 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV362 )
= ( ti @ arrow_1212486748le_alt @ SV235 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
= ( ti @ arrow_1212486748le_alt @ SV288 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV235 )
= ( ti @ arrow_1212486748le_alt @ SV288 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
= ( ti @ arrow_1212486748le_alt @ SV362 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2363]) ).
thf(2390,plain,
! [SV104: $i,SV288: $i,SV235: $i,SV184: $i,SV362: $i,SV334: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV184 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV104 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV184 @ ( sK30_SY1050 @ SV104 @ SV288 @ SV235 @ SV184 @ SV362 @ SV334 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV184 @ ( sK30_SY1050 @ SV104 @ SV288 @ SV235 @ SV184 @ SV362 @ SV334 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV104 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV184 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV362 )
= ( ti @ arrow_1212486748le_alt @ SV235 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
= ( ti @ arrow_1212486748le_alt @ SV288 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV235 )
= ( ti @ arrow_1212486748le_alt @ SV288 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
= ( ti @ arrow_1212486748le_alt @ SV362 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2364]) ).
thf(2391,plain,
! [SV104: $i,SV288: $i,SV235: $i,SV184: $i,SV362: $i,SV334: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV184 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV104 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV104 @ ( sK30_SY1050 @ SV104 @ SV288 @ SV235 @ SV184 @ SV362 @ SV334 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV104 @ ( sK30_SY1050 @ SV104 @ SV288 @ SV235 @ SV184 @ SV362 @ SV334 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV104 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV184 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV362 )
= ( ti @ arrow_1212486748le_alt @ SV235 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
= ( ti @ arrow_1212486748le_alt @ SV288 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV235 )
= ( ti @ arrow_1212486748le_alt @ SV288 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
= ( ti @ arrow_1212486748le_alt @ SV362 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2365]) ).
thf(2392,plain,
! [SV106: $i,SV236: $i,SV185: $i,SV336: $i,SV290: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV106 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV185 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV336 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV336 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2367]) ).
thf(2393,plain,
! [SV185: $i,SV290: $i,SV106: $i,SV236: $i,SV336: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV106 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV185 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV290 ) @ SV336 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV185 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV336 ) @ SV236 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV106 @ ( sK28_SY1044 @ SV106 @ SV236 @ SV185 @ SV336 @ SV290 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV106 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV185 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV336 )
= ( ti @ arrow_1212486748le_alt @ SV236 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV290 )
= ( ti @ arrow_1212486748le_alt @ SV336 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2368]) ).
thf(2394,plain,
! [SV253: $i,SV211: $i,SV51: $i,SV306: $i,SV155: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV155 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2373]) ).
thf(2395,plain,
! [SV211: $i,SV253: $i,SV51: $i,SV306: $i,SV155: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV253 ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV155 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2375]) ).
thf(2396,plain,
! [SV211: $i,SV253: $i,SV51: $i,SV306: $i,SV155: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
!= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV253 ) ) @ SV211 ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV155 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2377]) ).
thf(2397,plain,
! [SV211: $i,SV253: $i,SV51: $i,SV306: $i,SV155: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV155 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV253 ) @ SV155 ) ) @ SV211 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2379]) ).
thf(2398,plain,
! [SV211: $i,SV253: $i,SV51: $i,SV306: $i,SV155: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV253 ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV155 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV253 ) @ SV155 ) ) @ SV211 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2380]) ).
thf(2399,plain,
! [SV211: $i,SV253: $i,SV51: $i,SV306: $i,SV155: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV253 ) ) @ SV211 ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV155 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV253 ) @ SV155 ) ) @ SV211 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2381]) ).
thf(2400,plain,
! [SV84: $i,SV277: $i,SV228: $i,SV175: $i,SV358: $i,SV326: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV84 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV175 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV358 )
= ( ti @ arrow_1212486748le_alt @ SV228 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV228 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV358 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2382]) ).
thf(2401,plain,
! [SV175: $i,SV358: $i,SV326: $i,SV84: $i,SV277: $i,SV228: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV84 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV175 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV358 )
= ( ti @ arrow_1212486748le_alt @ SV228 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV228 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV358 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2382]) ).
thf(2402,plain,
! [SV84: $i,SV277: $i,SV228: $i,SV175: $i,SV358: $i,SV326: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV84 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV175 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV358 )
= ( ti @ arrow_1212486748le_alt @ SV228 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV228 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV358 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2383]) ).
thf(2403,plain,
! [SV175: $i,SV358: $i,SV326: $i,SV84: $i,SV277: $i,SV228: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV84 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV175 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV358 )
= ( ti @ arrow_1212486748le_alt @ SV228 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV228 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV358 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2384]) ).
thf(2404,plain,
! [SV84: $i,SV277: $i,SV228: $i,SV175: $i,SV358: $i,SV326: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV84 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV175 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV358 )
= ( ti @ arrow_1212486748le_alt @ SV228 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV228 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV358 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2385]) ).
thf(2405,plain,
! [SV175: $i,SV358: $i,SV326: $i,SV84: $i,SV277: $i,SV228: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV84 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV175 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV358 )
= ( ti @ arrow_1212486748le_alt @ SV228 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV228 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV358 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2386]) ).
thf(2406,plain,
! [SV84: $i,SV277: $i,SV228: $i,SV175: $i,SV358: $i,SV326: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV84 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV175 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV358 )
= ( ti @ arrow_1212486748le_alt @ SV228 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV228 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV358 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2387]) ).
thf(2407,plain,
! [SV175: $i,SV358: $i,SV326: $i,SV84: $i,SV277: $i,SV228: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV84 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV175 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV358 )
= ( ti @ arrow_1212486748le_alt @ SV228 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV228 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV358 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2388]) ).
thf(2408,plain,
! [SV104: $i,SV288: $i,SV235: $i,SV184: $i,SV362: $i,SV334: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV184 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV104 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV334 ) @ SV362 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV184 @ ( sK30_SY1050 @ SV104 @ SV288 @ SV235 @ SV184 @ SV362 @ SV334 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV235 ) @ SV288 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV104 @ ( sK30_SY1050 @ SV104 @ SV288 @ SV235 @ SV184 @ SV362 @ SV334 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV104 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV184 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV362 )
= ( ti @ arrow_1212486748le_alt @ SV235 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
= ( ti @ arrow_1212486748le_alt @ SV288 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV235 )
= ( ti @ arrow_1212486748le_alt @ SV288 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV334 )
= ( ti @ arrow_1212486748le_alt @ SV362 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2389]) ).
thf(2409,plain,
! [SV253: $i,SV211: $i,SV51: $i,SV306: $i,SV155: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV155 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2394]) ).
thf(2410,plain,
! [SV211: $i,SV253: $i,SV51: $i,SV306: $i,SV155: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV253 ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV155 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2395]) ).
thf(2411,plain,
! [SV211: $i,SV253: $i,SV51: $i,SV306: $i,SV155: $i] :
( ( ( ( ti @ arrow_1212486748le_alt @ SV155 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV253 ) ) @ SV211 ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV155 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV51 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV51 ) @ SV155 ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ arrow_1726925404_above @ SV211 ) @ SV253 ) @ SV306 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ ( fun @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ bool ) @ ( member @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ SV211 ) @ arrow_638930832le_Lin ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV253 )
= ( ti @ arrow_1212486748le_alt @ SV306 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2396]) ).
thf(2412,plain,
! [SV84: $i,SV277: $i,SV228: $i,SV175: $i,SV358: $i,SV326: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV84 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV175 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV358 )
= ( ti @ arrow_1212486748le_alt @ SV228 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV228 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV358 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2400]) ).
thf(2413,plain,
! [SV175: $i,SV358: $i,SV326: $i,SV84: $i,SV277: $i,SV228: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) )
| ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV84 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV175 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV358 )
= ( ti @ arrow_1212486748le_alt @ SV228 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV228 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV358 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2401]) ).
thf(2414,plain,
! [SV84: $i,SV277: $i,SV228: $i,SV175: $i,SV358: $i,SV326: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV84 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV175 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV358 )
= ( ti @ arrow_1212486748le_alt @ SV228 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV228 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV358 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2402]) ).
thf(2415,plain,
! [SV175: $i,SV358: $i,SV326: $i,SV84: $i,SV277: $i,SV228: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV84 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV175 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV358 )
= ( ti @ arrow_1212486748le_alt @ SV228 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV228 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV358 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2403]) ).
thf(2416,plain,
! [SV84: $i,SV277: $i,SV228: $i,SV175: $i,SV358: $i,SV326: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV84 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV175 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV358 )
= ( ti @ arrow_1212486748le_alt @ SV228 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV228 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV358 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2404]) ).
thf(2417,plain,
! [SV175: $i,SV358: $i,SV326: $i,SV84: $i,SV277: $i,SV228: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV84 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV175 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV358 )
= ( ti @ arrow_1212486748le_alt @ SV228 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV228 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV358 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2405]) ).
thf(2418,plain,
! [SV84: $i,SV277: $i,SV228: $i,SV175: $i,SV358: $i,SV326: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV84 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV175 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV358 )
= ( ti @ arrow_1212486748le_alt @ SV228 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV228 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV358 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2406]) ).
thf(2419,plain,
! [SV175: $i,SV358: $i,SV326: $i,SV84: $i,SV277: $i,SV228: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV84 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV175 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV358 )
= ( ti @ arrow_1212486748le_alt @ SV228 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV228 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV358 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2407]) ).
thf(2420,plain,
! [SV84: $i,SV277: $i,SV228: $i,SV175: $i,SV358: $i,SV326: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV84 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV175 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV358 )
= ( ti @ arrow_1212486748le_alt @ SV228 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV228 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV358 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2412]) ).
thf(2421,plain,
! [SV175: $i,SV358: $i,SV326: $i,SV84: $i,SV277: $i,SV228: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV84 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV175 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV358 )
= ( ti @ arrow_1212486748le_alt @ SV228 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV228 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV358 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2413]) ).
thf(2422,plain,
! [SV84: $i,SV277: $i,SV228: $i,SV175: $i,SV358: $i,SV326: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV84 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV175 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV358 )
= ( ti @ arrow_1212486748le_alt @ SV228 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV228 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV358 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2414]) ).
thf(2423,plain,
! [SV175: $i,SV358: $i,SV326: $i,SV84: $i,SV277: $i,SV228: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV84 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV175 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV358 )
= ( ti @ arrow_1212486748le_alt @ SV228 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV228 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV358 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2415]) ).
thf(2424,plain,
! [SV84: $i,SV277: $i,SV228: $i,SV175: $i,SV358: $i,SV326: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV84 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV175 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV358 )
= ( ti @ arrow_1212486748le_alt @ SV228 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV228 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV358 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2416]) ).
thf(2425,plain,
! [SV175: $i,SV358: $i,SV326: $i,SV84: $i,SV277: $i,SV228: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV84 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV175 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV358 )
= ( ti @ arrow_1212486748le_alt @ SV228 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV228 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV358 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2417]) ).
thf(2426,plain,
! [SV84: $i,SV277: $i,SV228: $i,SV175: $i,SV358: $i,SV326: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV84 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV175 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV358 )
= ( ti @ arrow_1212486748le_alt @ SV228 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV228 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV358 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2420]) ).
thf(2427,plain,
! [SV175: $i,SV358: $i,SV326: $i,SV84: $i,SV277: $i,SV228: $i] :
( ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV84 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ f @ SV175 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV326 ) @ SV358 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV175 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool @ ( hAPP @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( fun @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ bool ) @ ( member @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( hAPP @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ ( hAPP @ arrow_1212486748le_alt @ ( fun @ arrow_1212486748le_alt @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) ) @ ( product_Pair @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ SV228 ) @ SV277 ) ) @ ( hAPP @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) @ SV84 @ ( sK29_SY1049 @ SV84 @ SV277 @ SV228 @ SV175 @ SV358 @ SV326 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV84 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool @ ( hAPP @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ ( fun @ ( fun @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) @ bool ) @ bool ) @ ( member @ ( fun @ arrow_1384031255e_indi @ ( fun @ ( product_prod @ arrow_1212486748le_alt @ arrow_1212486748le_alt ) @ bool ) ) ) @ SV175 ) @ arrow_1834574746e_Prof ) )
= $false )
| ( ( ( ti @ arrow_1212486748le_alt @ SV358 )
= ( ti @ arrow_1212486748le_alt @ SV228 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV228 )
= ( ti @ arrow_1212486748le_alt @ SV277 ) )
= $true )
| ( ( ( ti @ arrow_1212486748le_alt @ SV326 )
= ( ti @ arrow_1212486748le_alt @ SV358 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2421]) ).
thf(2428,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[342,2427,2426,2425,2424,2423,2422,2419,2418,2411,2410,2409,2408,2399,2398,2397,2393,2392,2391,2390,2378,2376,2374,2372,2371,2370,2369,2366,2357,2355,2353,2348,2347,2332,2331,2310,2309,2308,2307,2290,2289,2286,2285,2268,2267,2266,2265,2250,2244,2243,2235,2226,2210,2209,2208,2206,2205,2204,2194,2193,2181,2179,2178,2176,2174,2173,2170,2169,2168,2167,2145,2144,2140,2139,2136,2132,2129,2128,2107,2103,2100,2096,2092,2069,2068,2063,2062,2060,2052,2026,2021,1986,1983,1981,1979,1978,1976,1972,1970,1951,1937,1934,1932,1931,1929,1928,1918,1912,1906,1892,1890,1887,1876,1867,1855,1850,1849,1844,1835,1830,1812,1811,1800,1799,1789,1774,1773,1767,1760,1747,1746,1726,1725,1719,1714,1711,1704,1680,1679,1671,1666,1665,1664,1663,1662,1660,1630,1629,1628,1585,1584,1580,1575,1574,1573,1560,1551,1543,1542,1541,1538,1537,1532,1527,1512,1504,1503,1501,1499,1488,1483,1482,1469,1466,1465,1464,1463,1462,1446,1437,1436,1425,1424,1422,1417,1415,1413,1404,1377,1368,1367,1362,1353,1350,1341,1335,1332,1331,1327,1324,1320,1314,1313,1298,1294,1292,1287,1286,1275,1274,1252,1246,1158,1120,1119,1108,1103,1102,1101,1100,1078,1077,1060,1059,1058,1054,1044,1039,1020,1009,991,985,961,939,935,930,926,925,924,920,902,896,833,832,831,826,825,824,823,741,738,735,732,730,729,728,726,725,724,719,718,717,716,714,711,651,631,619,618,615,612,607,603,602,599,597,592,505,495,494,493,492,491,490,489,488,481,480,472,456,455,454,404,403,402,401,400,397,396,387,385,384,383,382,381,380,379,378,377,371,370,359,353,352,351,350,349,348,347,346,345,344,343]) ).
thf(2429,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[2428]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SCT171+5 : TPTP v9.3.1. Released v5.3.0.
% 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
% 0.10/0.18 % Computer : n003.cluster.edu
% 0.10/0.18 % Model : x86_64 x86_64
% 0.10/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.18 % Memory : 8046.5625MB
% 0.10/0.18 % OS : Linux 6.8.0-71-generic
% 0.10/0.18 % CPULimit : 300
% 0.10/0.18 % WCLimit : 300
% 0.10/0.18 % DateTime : Tue Oct 6 14:26:54 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 229.83/38.54 .
% 229.83/38.54
% 229.83/38.54 No.of.Axioms: 168
% 229.83/38.54
% 229.83/38.54 Length.of.Defs: 0
% 229.83/38.54
% 229.83/38.54 Contains.Choice.Funs: false
% 229.83/38.54 ...........................................................................................................................................................................................................................................................................................................................................................
% 229.83/38.54
% 229.83/38.54 ********************************
% 229.83/38.54 * All subproblems solved! *
% 229.83/38.54 ********************************
% 229.83/38.54 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:168,ps:3,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:297,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:2428,loop_count:0,foatp_calls:1,translation:fof_full)
% 229.83/38.54
% 229.83/38.54 %**** Beginning of derivation protocol ****
% 229.83/38.54 % SZS output start CNFRefutation
% See solution above
% 38.52/38.62
% 38.52/38.62 %**** End of derivation protocol ****
% 38.52/38.62 %**** no. of clauses in derivation: 2429 ****
% 38.52/38.62 %**** clause counter: 2428 ****
% 38.52/38.62
% 38.52/38.62 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:168,ps:3,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:297,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:2428,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------